9/16/13 Assignment Previewer
|
|
- Scot Dawson
- 5 years ago
- Views:
Transcription
1 Homew ork Basic ( ) Question Description This assignment is mostly a graphing assignment. It is not possible for WebAssign to give you feedback on graphs that you create. Instead, many problems conclude with a multiple choice question that should be very easy if you have created a correct graph. WARNING: You get only one chance at the multiple choice answer. This means you have to be sure of your own graph before you try to answer the WebAssign question. Instructions Read today's Notes and Learning Goals 1/14
2 1. Question Details graphfprimedetails1 [ ] The graph below shows the height of an object as a function of time. Height, h, is in meters and time, t, is in seconds. Use the graph to answer the questions below. What best describes the velocity at the instant when t = 1 second? What best describes h'(2)? What best describes dh? dt t=3 dh What best describes when t = 4 seconds? dt What best describes the velocity when time t = 5 seconds? What best describes h'(6)? 2/14
3 2. Question Details graphfprimedetails2 [ ] The graph below shows the height of an object as a function of time. Height, h, is in meters and time, t, is in seconds. Use the graph to answer the questions below. Then use this information and the information from the previous problem to sketch a graph of h'(t). h'(1) < h'(2) h'(1) > h'(2) h'(1) = h'(2) h'(2) < h'(3) h'(2) > h'(3) h'(2) = h'(3) h'(3) < h'(4) h'(3) > h'(4) h'(3) = h'(4) h'(4) < h'(5) h'(4) > h'(5) h'(4) = h'(5) h'(2) < h'(4) h'(2) > h'(4) h'(2) = h'(4) h'(2) < h'(6) h'(2) > h'(6) h'(2) = h'(6) /14
4 Question Details graphfprimedetails3 [ ] The graph below shows the electric potential in a circuit as a function of time. Potential, V, is in volts and time, t, is in seconds. Use the graph to answer the questions below. What best describes the rate of change of potential when t = 1? What best describes V'(2)? What best describes V'(3)? What best describes dv dt t=4? What best describes dv dt What best describes V'(6)? when t = 5? 4/14
5 4. Question Details graphfprimedetails4 [ ] The graph below shows the electric potential in a circuit as a function of time. Potential, V, is in volts and time, t, is in seconds. Use the graph to answer the questions below. Then use this information and the information from the previous problem to sketch a graph of V'(t). V'(1.5) < V'(3) V'(1.5) > V'(3) h'(1.5) = V'(3) V'(3) < V'(4.5) V'(3) > V'(4.5) V'(3) = V'(4.5) V'(4) < V'(6) V'(4) > V'(6) V'(4) = V'(6) V'(5.5) < V'(7) V'(5.5) > V'(7) V'(5.5) = V'(7) 5/14
6 5. Question Details graphfprime4 [ ] The graph below shows a function y(x). Use the graph of y to estimate y '(a) at several locations. You choose the locations, but your list of locations should include, if possible: Any location that appears to have a horizontal tangent. At least two locations that appear to have negative slopes. At least two locations that appear to have positive slopes. Use your estimates to sketch a graph of y '(x). WebAssign cannot give you feedback on the graph you drew. However, you can use your graph to decide which of these graphs is a correct graph of y '(x). WARNING: You only get one try! Unless you are a (bad) gambler, make your own graph of y '(x) before you chose. 6/14
7 6. Question Details graphfprime3 [ ] The graph below shows a function y(x). Use the graph of y to estimate y '(a) at several locations. You choose the locations, but your list of locations should include, if possible: Any location that appears to have a horizontal tangent. At least two locations that appear to have negative slopes. At least two locations that appear to have positive slopes. Use your estimates to sketch a graph of y '(x). WebAssign cannot give you feedback on the graph you drew. However, you can use your graph to decide which of these graphs is a correct graph of y '(x). WARNING: You only get one try! Unless you are a (bad) gambler, make your own graph of y '(x) before you chose. 7/14
8 7. Question Details graphfprime5 [ ] The graph below shows a function y(x). Use the graph of y to estimate y '(a) at several locations. You choose the locations, but your list of locations should include, if possible: Any location that appears to have a horizontal tangent. At least two locations that appear to have negative slopes. At least two locations that appear to have positive slopes. Use your estimates to sketch a graph of y '(x). WebAssign cannot give you feedback on the graph you drew. However, you can use your graph to decide which of these graphs is a correct graph of y '(x). WARNING: You only get one try! Unless you are a (bad) gambler, make your own graph of y '(x) before you chose. 8/14
9 8. Question Details graphfprime6 [ ] The graph below shows a function y(x). Use the graph of y to estimate y '(a) at several locations. You choose the locations, but your list of locations should include, if possible: Any location that appears to have a horizontal tangent. At least two locations that appear to have negative slopes. At least two locations that appear to have positive slopes. Use your estimates to sketch a graph of y '(x). WebAssign cannot give you feedback on the graph you drew. However, you can use your graph to decide which of these graphs is a correct graph of y '(x). WARNING: You only get one try! Unless you are a (bad) gambler, make your own graph of y '(x) before you chose. 9/14
10 9. Question Details graphfprime7 [ ] A function is graphed below. Sketch a graph of the derivative. From the choices below, select the correct graph of the derivative. WARNING: You only get one try! 10/14
11 10. Question Details graphfprime8 [ ] A function is graphed below. Sketch a graph of the derivative. From the choices below, select the correct graph of the derivative. WARNING: You only get one try! 11/14
12 11. Question Details graphfprime9 [ ] A function is graphed below. Sketch a graph of the derivative. From the choices below, select the correct graph of the derivative. WARNING: You only get one try! 12. Question Details graphfprimetab [ ] The table below lists values of a function f(x). x f(x) Use the table to estimate estimate f '(a) at several locations. You choose the locations. Then use your estimates to sketch a graph of f '(x). WebAssign cannot give you feedback on the graph you drew. However, you can use your graph to decide which of these graphs is correct. WARNING: You only get one try! 12/14
13 Assignment Details Name (AID): Homework Basic ( ) Submissions Allowed: 100 Category: Homework Code: Locked: No Author: Bullock, Doug ( dbullock@boisestate.edu ) Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score 13/14
14 Last Saved: Sep 16, :28 AM MDT Permission: Protected Randomization: Person Which graded: Last Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response 14/14
Question Instructions Read today's Notes and Learning Goals
113: Tangent Lines (6105672) Question 1 2 3 4 5 6 7 8 9 10 11 12 Instructions Read today's Notes and Learning Goals 1. Question Details Tangent line vocabulary [3081769] The figure below shows the graph
More informationΔs = Due: Fri Nov :31 AM MST Question Instructions
122 Basic: Change as Area (6105681) Due: Fri Nov 14 2014 07:31 AM MST Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 Instructions Read today's Notes and Learning Goals. Each problem will have a
More informationQuestion Details SCalcET [ ]
72 Gradient II (10998074) Due: Fri Oct 6 2017 03:00 PM MDT Question 1 2 3 4 5 6 7 8 9 10 11 12 Instructions Notes and Learning Goals 1. Question Details SCalcET8 14.6.001. [3799846] Level curves for barometric
More informationDue: Fri Sep :00 PM MDT Question
Exam 1 Review (10998069) Due: Fri Sep 22 2017 03:00 PM MDT Question 12345678910 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Description This is a collection of problems that
More information8/6/2010 Assignment Previewer
8//2010 Assignment Previewer Week 8 Friday Homework (1324223) Question 12345789101112131415117181920 1. Question Detailsscalcet 3.9.ae.05.nva [129124] EXAMPLE 5 A man walks along a straight path at a speed
More information8/6/2010 Assignment Previewer
Week 4 Friday Homework (1321979) Question 1234567891011121314151617181920 1. Question DetailsSCalcET6 2.7.003. [1287988] Consider te parabola y 7x - x 2. (a) Find te slope of te tangent line to te parabola
More information4/30/2015 Assignment Previewer
112 Advanced (6711519) Due: Mon Apr 6 2015 09:00 AM MDT Question 1 2 3 4 5 https://www.webassign.net/v4cgijaimos@boisestate/assignments/preview.tpl?aid=6711519&deployment=10659049&userpass=7b 1/5 1. Question
More informationTangent line problems
You will find lots of practice problems and homework problems that simply ask you to differentiate. The following examples are to illustrate some of the types of tangent line problems that you may come
More informationWebAssign Lesson 1-2a Area Between Curves (Homework)
WebAssign Lesson 1-2a Area Between Curves (Homework) Current Score : / 30 Due : Thursday, June 26 2014 11:00 AM MDT Jaimos Skriletz Math 175, section 31, Summer 2 2014 Instructor: Jaimos Skriletz 1. /3
More informationGUIDED NOTES 3.5 TRANSFORMATIONS OF FUNCTIONS
GUIDED NOTES 3.5 TRANSFORMATIONS OF FUNCTIONS LEARNING OBJECTIVES In this section, you will: Graph functions using vertical and horizontal shifts. Graph functions using reflections about the x-axis and
More informationPart I. Problems in this section are mostly short answer and multiple choice. Little partial credit will be given. 5 points each.
Math 106/108 Final Exam Page 1 Part I. Problems in this section are mostly short answer and multiple choice. Little partial credit will be given. 5 points each. 1. Factor completely. Do not solve. a) 2x
More informationMath 180 Written Homework Solutions Assignment #1 Due Thursday, September 4th at the beginning of your discussion class.
Math 180 Written Homework Solutions Assignment #1 Due Thursday, September 4th at the beginning of your discussion class. Directions. You are welcome to work on the following problems with other MATH 180
More informationAP CALCULUS BC 2013 SCORING GUIDELINES
AP CALCULUS BC 2013 SCORING GUIDELINES Question 4 The figure above shows the graph of f, the derivative of a twice-differentiable function f, on the closed interval 0 x 8. The graph of f has horizontal
More informationCalculators ARE NOT Permitted On This Portion Of The Exam 28 Questions - 55 Minutes
1 of 11 1) Give f(g(1)), given that Calculators ARE NOT Permitted On This Portion Of The Exam 28 Questions - 55 Minutes 2) Find the slope of the tangent line to the graph of f at x = 4, given that 3) Determine
More informationDerivatives 3: The Derivative as a Function
Derivatives : The Derivative as a Function 77 Derivatives : The Derivative as a Function Model : Graph of a Function 9 8 7 6 5 g() - - - 5 6 7 8 9 0 5 6 7 8 9 0 5 - - -5-6 -7 Construct Your Understanding
More informationWebAssign Lesson 3-2b Integration by Parts 2 (Homework)
WebAssign Lesson 3-2b Integration by Parts 2 (Homework) Current Score : / 28 Due : Tuesday, July 15 2014 10:59 AM MDT Jaimos Skriletz Math 175, section 31, Summer 2 2014 Instructor: Jaimos Skriletz 1.
More informationa translation by c units a translation by c units
1.6 Graphical Transformations Introducing... Translations 1.) Set your viewing window to [-5,5] by [-5,15]. 2.) Graph the following functions: y 1 = x 2 y 2 = x 2 + 3 y 3 = x 2 + 1 y 4 = x 2-2 y 5 = x
More information2. The diagram shows part of the graph of y = a (x h) 2 + k. The graph has its vertex at P, and passes through the point A with coordinates (1, 0).
Quadratics Vertex Form 1. Part of the graph of the function y = d (x m) + p is given in the diagram below. The x-intercepts are (1, 0) and (5, 0). The vertex is V(m, ). (a) Write down the value of (i)
More informationMultivariate Calculus Review Problems for Examination Two
Multivariate Calculus Review Problems for Examination Two Note: Exam Two is on Thursday, February 28, class time. The coverage is multivariate differential calculus and double integration: sections 13.3,
More informationPolynomial and Rational Functions. Copyright Cengage Learning. All rights reserved.
2 Polynomial and Rational Functions Copyright Cengage Learning. All rights reserved. 2.1 Quadratic Functions Copyright Cengage Learning. All rights reserved. What You Should Learn Analyze graphs of quadratic
More informationReview Guide for MAT220 Final Exam Part I. Thursday December 6 th during regular class time.
Review Guide for MAT0 Final Exam Part I. Thursday December 6 th during regular class time. Part is worth 50% of your Final Exam grade. YOUR Syllabus approved calculator can be used on this part of the
More informationWithout fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 11. Show all your work on the standard
More information1-1. What you'll Learn About Critical Points/Extreme Values. 1 P a g e
CALCULUS: by Rogawski 8) 1 y x 1-1 x Chapter 4.2: Extreme Values What you'll Learn About Critical Points/Extreme Values 12) f(x) 4x - x 1 1 P a g e Determine the extreme values of each function 2 21) f(x)
More information(c) 0 (d) (a) 27 (b) (e) x 2 3x2
1. Sarah the architect is designing a modern building. The base of the building is the region in the xy-plane bounded by x =, y =, and y = 3 x. The building itself has a height bounded between z = and
More informationd f(g(t), h(t)) = x dt + f ( y dt = 0. Notice that we can rewrite the relationship on the left hand side of the equality using the dot product: ( f
Gradients and the Directional Derivative In 14.3, we discussed the partial derivatives f f and, which tell us the rate of change of the x y height of the surface defined by f in the x direction and the
More informationAP Calculus AB Unit 2 Assessment
Class: Date: 203-204 AP Calculus AB Unit 2 Assessment Multiple Choice Identify the choice that best completes the statement or answers the question. A calculator may NOT be used on this part of the exam.
More informationMid Term Pre Calc Review
Mid Term 2015-13 Pre Calc Review I. Quadratic Functions a. Solve by quadratic formula, completing the square, or factoring b. Find the vertex c. Find the axis of symmetry d. Graph the quadratic function
More informationFinal Exam Review Algebra Semester 1
Final Exam Review Algebra 015-016 Semester 1 Name: Module 1 Find the inverse of each function. 1. f x 10 4x. g x 15x 10 Use compositions to check if the two functions are inverses. 3. s x 7 x and t(x)
More informationMAT 122 Homework 4 Solutions
MAT 1 Homework 4 Solutions Section.1, Problem Part a: The value of f 0 (1950) is negative. Observe that the tangent line for the graph at that point would appear to be a decreasing linear function, hence
More informationLearning Packet. Lesson 6 Exponents and Rational Functions THIS BOX FOR INSTRUCTOR GRADING USE ONLY
Learning Packet Student Name Due Date Class Time/Day Submission Date THIS BOX FOR INSTRUCTOR GRADING USE ONLY Mini-Lesson is complete and information presented is as found on media links (0 5 pts) Comments:
More information2. Suppose we drew many tangent lines for this second curve. How do the slopes of these tangent lines change as we look from left to right?
Do now as a warm up: 1. Suppose we drew many tangent lines for this first curve. How do the slopes of these tangent lines change as we look from left to right? 2. Suppose we drew many tangent lines for
More informationSec.4.1 Increasing and Decreasing Functions
U4L1: Sec.4.1 Increasing and Decreasing Functions A function is increasing on a particular interval if for any, then. Ie: As x increases,. A function is decreasing on a particular interval if for any,
More information27. Tangent Planes & Approximations
27. Tangent Planes & Approximations If z = f(x, y) is a differentiable surface in R 3 and (x 0, y 0, z 0 ) is a point on this surface, then it is possible to construct a plane passing through this point,
More informationAngle Measure 1. Use the relationship π rad = 180 to express the following angle measures in radian measure. a) 180 b) 135 c) 270 d) 258
Chapter 4 Prerequisite Skills BLM 4-1.. Angle Measure 1. Use the relationship π rad = 180 to express the following angle measures in radian measure. a) 180 b) 135 c) 70 d) 58. Use the relationship 1 =!
More informationNotes Lesson 3 4. Positive. Coordinate. lines in the plane can be written in standard form. Horizontal
A, B, C are Notes Lesson 3 4 Standard Form of an Equation: Integers Ax + By = C Sometimes it is preferred that A is Positive All lines in the plane can be written in standard form. Oblique Coordinate Horizontal
More informationMultivariate Calculus: Review Problems for Examination Two
Multivariate Calculus: Review Problems for Examination Two Note: Exam Two is on Tuesday, August 16. The coverage is multivariate differential calculus and double integration. You should review the double
More informationSection 6.2 Properties of Graphs of Quadratic Functions soln.notebook January 12, 2017
Section 6.2: Properties of Graphs of Quadratic Functions 1 Properties of Graphs of Quadratic Functions A quadratic equation can be written in three different ways. Each version of the equation gives information
More information1 Tangents and Secants
MTH 11 Web Based Material Essex County College Division of Mathematics and Physics Worksheet #, Last Update July 15, 010 1 1 Tangents and Secants The idea of a it is central to calculus and an intuitive
More informationCritical and Inflection Points
Critical and Inflection Points 1 Finding and Classifying Critical Points A critical point is a point on the graph where the tangent slope is horizontal, (0) or vertical, ( ). or not defined like the minimum
More informationA simple OpenGL animation Due: Wednesday, January 27 at 4pm
CMSC 23700 Winter 2010 Introduction to Computer Graphics Project 1 January 12 A simple OpenGL animation Due: Wednesday, January 27 at 4pm 1 Summary This project is the first part of a three-part project.
More informationSHOW ALL NEEDED WORK IN YOUR NOTEBOOK.
DO NOW: 1 3: NO CALCULATORS 1. Consider the function f () x the value of f (4.1)? SHOW ALL NEEDED WORK IN YOUR NOTEBOOK. x. We all know that f (4), but without a calculator, what is . The approximate value
More information4.7a Trig Inverses.notebook September 18, 2014
WARM UP 9 18 14 Recall from Algebra 2 (or possibly see for the first time...): In order for a function to have an inverse that is also a function, it must be one to one, which means it must pass the horizontal
More informationChapter 10 Homework: Parametric Equations and Polar Coordinates
Chapter 1 Homework: Parametric Equations and Polar Coordinates Name Homework 1.2 1. Consider the parametric equations x = t and y = 3 t. a. Construct a table of values for t =, 1, 2, 3, and 4 b. Plot the
More informationSection 3.1(part), Critical Numbers, Extreme Values, Increasing/Decreasing, Concave Up/Down MATH 1190
Section 3.(part), 3.3-3.4 Critical Numbers, Extreme Values, Increasing/Decreasing, Concave Up/Down MATH 9 9 rel max f (a) = ; slope tangent line = 8 7. slope of tangent line: neg f (a)
More informationLesson 11 Rational Functions
Lesson 11 Rational Functions In this lesson, you will embark on a study of rational functions. These may be unlike any function you have ever seen. Rational functions look different because they are in
More information2. Use the above table to transform the integral into a new integral problem using the integration by parts formula below:
Integration by Parts: Basic (1238178) Due: Mon Aug 27 218 9:1 AM MDT Question 1 2 3 4 5 6 7 8 9 1 11 12 13 Instructions Read today's tes and Learning Goals 1. Question Details sp16 by parts intro 1 [34458]
More information2/3 Unit Math Homework for Year 12
Yimin Math Centre 2/3 Unit Math Homework for Year 12 Student Name: Grade: Date: Score: Table of contents 12 Trigonometry 2 1 12.1 The Derivative of Trigonometric Functions....................... 1 12.2
More informationNO CALCULATOR ON ANYTHING EXCEPT WHERE NOTED
Algebra II (Wilsen) Midterm Review NO CALCULATOR ON ANYTHING EXCEPT WHERE NOTED Remember: Though the problems in this packet are a good representation of many of the topics that will be on the exam, this
More informationNAME: Section # SSN: X X X X
Math 155 FINAL EXAM A May 5, 2003 NAME: Section # SSN: X X X X Question Grade 1 5 (out of 25) 6 10 (out of 25) 11 (out of 20) 12 (out of 20) 13 (out of 10) 14 (out of 10) 15 (out of 16) 16 (out of 24)
More information016A Homework 6 Solution
016A Homework 6 Solution Jae-young Park October 6, 2008 2.1 *4 Which functions have the property that the slope always decreases as x increases? Solution (a), (e). You can find these answers by finding
More informationCHAPTER 2 - QUADRATICS
CHAPTER 2 - QUADRATICS VERTEX FORM (OF A QUADRATIC FUNCTION) f(x) = a(x - p) 2 + q Parameter a determines orientation and shape of the parabola Parameter p translates the parabola horizontally Parameter
More informationImportant!!! First homework is due on Monday, September 26 at 8:00 am.
Important!!! First homework is due on Monday, September 26 at 8:00 am. You can solve and submit the homework on line using webwork: http://webwork.dartmouth.edu/webwork2/m3cod/. If you do not have a user
More informationLinear Topics Notes and Homework DUE ON EXAM DAY. Name: Class period:
Linear Topics Notes and Homework DUE ON EXAM DAY Name: Class period: Absolute Value Axis b Coordinate points Continuous graph Constant Correlation Dependent Variable Direct Variation Discrete graph Domain
More informationVelocity. Velocity Lab Simulation. Apparatus. IA. Position Motion Away From the Motion Sensor. KET Virtual Physics Labs Worksheet Lab 2-1
Velocity KET Virtual Physics Labs Worksheet Lab 2-1 As you work through the steps in the lab procedure, record your experimental values and the results on this worksheet. Use the exact values you record
More informationMulti-step transformations
October 6, 2016 Transformations (section 1.6) Day 4 page 1 Multi-step transformations Objective: Apply transformations involving multiple steps or multiple substitutions. Upcoming: We will have a test
More informationWebAssign hw2.3 (Homework)
WebAssign hw2.3 (Homework) Current Score : / 98 Due : Wednesday, May 31 2017 07:25 AM PDT Michael Lee Math261(Calculus I), section 1049, Spring 2017 Instructor: Michael Lee 1. /6 pointsscalc8 1.6.001.
More informationSocial Science/Commerce Calculus I: Assignment #6 - Solutions Page 1/14
Social Science/Commerce Calculus I: Assignment #6 - Solutions Page 1/14 3 1. Let f (x) = -2x - 5x + 1. Use the rules of differentiation to compute: 2 The first derivative of f (x): -6x - 5 The second derivative
More informationSPRING 2015 Differentiation Practice (EXTRA PROBLEMS) 1
SPRING 2015 Differentiation Practice (EXTRA PROBLEMS) 1 WARNING: These are EXTRA problems, which means you have to do all the homework, webassign and NYTI problems before doing this. Also You ll have to
More information1.4. Comparing Graphs of Linear Motion. Acceleration Time Graphs
Comparing Graphs of Linear Motion Cheetahs are adapted for speed they are the fastest land animals. They can accelerate at faster rates than most sports cars (Figure 1). Cheetahs have been measured accelerating
More informationMath 5BI: Problem Set 2 The Chain Rule
Math 5BI: Problem Set 2 The Chain Rule April 5, 2010 A Functions of two variables Suppose that γ(t) = (x(t), y(t), z(t)) is a differentiable parametrized curve in R 3 which lies on the surface S defined
More informationWEB ASSIGN SHORT INTRODUCTION
WEB ASSIGN SHORT INTRODUCTION 1. LOGGING IN AND OUT You can log in to WebAssign using a Web browser connected to the Internet. Before logging in for the first time, you will need the following information,
More informationPractice problems. 1. Given a = 3i 2j and b = 2i + j. Write c = i + j in terms of a and b.
Practice problems 1. Given a = 3i 2j and b = 2i + j. Write c = i + j in terms of a and b. 1, 1 = c 1 3, 2 + c 2 2, 1. Solve c 1, c 2. 2. Suppose a is a vector in the plane. If the component of the a in
More informationSTAAR Category 3 Grade 7 Mathematics TEKS 7.9D. Student Activity 1
Student Activity 1 Work with your partner to answer the following questions. Problem 1: A triangular prism has lateral faces and faces called bases. The bases are in the shape of a. The lateral faces are
More informationWorksheet 2.2: Partial Derivatives
Boise State Math 275 (Ultman) Worksheet 2.2: Partial Derivatives From the Toolbox (what you need from previous classes) Be familiar with the definition of a derivative as the slope of a tangent line (the
More informationPre-Algebra Class 9 - Graphing
Pre-Algebra Class 9 - Graphing Contents In this lecture we are going to learn about the rectangular coordinate system and how to use graphs to pictorially represent equations and trends. 1 Rectangular
More informationMTH 122 Calculus II Essex County College Division of Mathematics and Physics 1 Lecture Notes #11 Sakai Web Project Material
MTH Calculus II Essex County College Division of Mathematics and Physics Lecture Notes # Sakai Web Project Material Introduction - - 0 - Figure : Graph of y sin ( x y ) = x cos (x + y) with red tangent
More informationDirection Fields; Euler s Method
Direction Fields; Euler s Method It frequently happens that we cannot solve first order systems dy (, ) dx = f xy or corresponding initial value problems in terms of formulas. Remarkably, however, this
More information3.7. Vertex and tangent
3.7. Vertex and tangent Example 1. At the right we have drawn the graph of the cubic polynomial f(x) = x 2 (3 x). Notice how the structure of the graph matches the form of the algebraic expression. The
More informationGraph Matching. walk back and forth in front of Motion Detector
Graph Matching Experiment 1 One of the most effective methods of describing motion is to plot graphs of distance, velocity, and acceleration vs. time. From such a graphical representation, it is possible
More informationVolumes of Solids of Revolution Lecture #6 a
Volumes of Solids of Revolution Lecture #6 a Sphereoid Parabaloid Hyperboloid Whateveroid Volumes Calculating 3-D Space an Object Occupies Take a cross-sectional slice. Compute the area of the slice. Multiply
More informationToday is the last day to register for CU Succeed account AND claim your account. Tuesday is the last day to register for my class
Today is the last day to register for CU Succeed account AND claim your account. Tuesday is the last day to register for my class Back board says your name if you are on my roster. I need parent financial
More informationWriting Equations of Lines and Midpoint
Writing Equations of Lines and Midpoint MGSE9 12.G.GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel
More informationMath 206 First Midterm October 5, 2012
Math 206 First Midterm October 5, 2012 Name: EXAM SOLUTIONS Instructor: Section: 1. Do not open this exam until you are told to do so. 2. This exam has 8 pages including this cover AND IS DOUBLE SIDED.
More informationPhysics 212 Spring 2009 Final Exam Version B (872413)
Physics 212 Spring 2009 Final Exam Version B (872413) Question 1 2 3 4 5 6 7 8 9 10 Instructions Be sure to answer every question. Follow the rules shown on the first page for filling in the Scantron form.
More informationIncreasing/Decreasing Behavior
Derivatives and the Shapes of Graphs In this section, we will specifically discuss the information that f (x) and f (x) give us about the graph of f(x); it turns out understanding the first and second
More informationLimits and Their Properties. Copyright Cengage Learning. All rights reserved.
1 Limits and Their Properties Copyright Cengage Learning. All rights reserved. 1.1 A Preview of Calculus Copyright Cengage Learning. All rights reserved. What Is Calculus? 3 Calculus Calculus is the mathematics
More informationRelating Graphs of f and f
Relating Graphs of f and f Do Now: Answer each of the following questions. 1. When the function, f, is increasing, what does that mean about the derivative, f? 2. When the function, f, is decreasing, what
More informationRubrics. Creating a Rubric
Rubrics A rubric is a set of specific evaluation criteria used to assess an assignment. Instructors use rubrics to carefully outline their assignment requirements and expectations for students. Students
More informationTangent Line equa,on. Simple Examtype
Tangent Line equa,on Find the equa,on of the tangent line to the graph of the func,on y=5x 2 at the point x=1. Where does the tangent line intersect the x axis? Simple Examtype ques,on Finished fast? Find
More informationPolynomial Functions Graphing Investigation Unit 3 Part B Day 1. Graph 1: y = (x 1) Graph 2: y = (x 1)(x + 2) Graph 3: y =(x 1)(x + 2)(x 3)
Part I: Polynomial Functions when a = 1 Directions: Polynomial Functions Graphing Investigation Unit 3 Part B Day 1 1. For each set of factors, graph the zeros first, then use your calculator to determine
More informationFunctions of Several Variables
. Functions of Two Variables Functions of Several Variables Rectangular Coordinate System in -Space The rectangular coordinate system in R is formed by mutually perpendicular axes. It is a right handed
More informationLesson 12 Course Review
In this lesson, we will review the topics and applications from Lessons 1-11. We will begin with a review of the different types of functions, and then apply each of them to a set of application problems.
More information3. parallel: (b) and (c); perpendicular (a) and (b), (a) and (c)
SECTION 1.1 1. Plot the points (0, 4), ( 2, 3), (1.5, 1), and ( 3, 0.5) in the Cartesian plane. 2. Simplify the expression 13 7 2. 3. Use the 3 lines whose equations are given. Which are parallel? Which
More informationData Analysis & Probability
Unit 5 Probability Distributions Name: Date: Hour: Section 7.2: The Standard Normal Distribution (Area under the curve) Notes By the end of this lesson, you will be able to Find the area under the standard
More informationGraphing Linear Equations
Graphing Linear Equations A.REI.10 Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane. What am I learning today? How to graph a linear
More information4 Visualization and. Approximation
4 Visualization and Approximation b A slope field for the differential equation y tan(x + y) tan(x) tan(y). It is not always possible to write down an explicit formula for the solution to a differential
More informationAssignments for Algebra 1 Unit 9 Quadratics, Part 1
Name: Assignments for Algebra 1 Unit 9 Quadratics, Part 1 Day 1, Quadratic Transformations: p.1-2 Day 2, Vertex Form of Quadratics: p. 3 Day 3, Solving Quadratics: p. 4-5 Day 4, No Homework (be sure you
More informationLab 1- Introduction to Motion
Partner : Purpose Partner 2: Lab - Section: The purpose of this lab is to learn via a motion detector the relationship between position and velocity. Remember that this device measures the position of
More informationSection 1.5 Transformation of Functions
Section 1.5 Transformation of Functions 61 Section 1.5 Transformation of Functions Often when given a problem, we try to model the scenario using mathematics in the form of words, tables, graphs and equations
More informationJim Lambers MAT 169 Fall Semester Lecture 33 Notes
Jim Lambers MAT 169 Fall Semester 2009-10 Lecture 33 Notes These notes correspond to Section 9.3 in the text. Polar Coordinates Throughout this course, we have denoted a point in the plane by an ordered
More informationTo Measure a Constant Velocity. Enter.
To Measure a Constant Velocity Apparatus calculator, black lead, calculator based ranger (cbr, shown), Physics application this text, the use of the program becomes second nature. At the Vernier Software
More information2.1 Derivatives and Rates of Change
2.1 Derivatives and Rates of Change In this chapter we study a special type of limit, called a derivative, that occurs when we want to find a slope of a tangent line, or a velocity, or any instantaneous
More informationExploring Slope. We use the letter m to represent slope. It is the ratio of the rise to the run.
Math 7 Exploring Slope Slope measures the steepness of a line. If you take any two points on a line, the change in y (vertical change) is called the rise and the change in x (horizontal change) is called
More informationProperties of the Derivative Lecture 9.
Properties of the Derivative Lecture 9. Recall that the average rate of change of a function y = f(x) over the interval from a to a + h, with h 0, is the slope of the line between y x f(a + h) f(a) =,
More information5.5: Making Connecons and Instantaneous Rates of Change
5.5: Making Connecons and Instantaneous Rates of Change Note: Sinusoidal models apply to many real world phenomena that do not necessarily involve angles. The average and instantaneous rate of change of
More informationTest 3 review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Test 3 review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Approximate the coordinates of each turning point by graphing f(x) in the standard viewing
More informationCalculus III. Math 233 Spring In-term exam April 11th. Suggested solutions
Calculus III Math Spring 7 In-term exam April th. Suggested solutions This exam contains sixteen problems numbered through 6. Problems 5 are multiple choice problems, which each count 5% of your total
More informationPlot the points (-1,9) (4,-3), estimate (put a dot) where you think the midpoint is
Algebra Review while 9 th graders are at Club Getaway 1-1 dist and mid pt cw. p. 4 (1,3,5,6,7,8, Hw p. 5 (1-10) Plot the points (-1,9) (4,-3), estimate (put a dot) where you think the midpoint is Find
More informationDuring the timed portion for Part A, you may work only on the problems in Part A.
SECTION II Time: hour and 30 minutes Percent of total grade: 50 Part A: 45 minutes, 3 problems (A graphing calculator is required for some problems or parts of problems.) During the timed portion for Part
More informationSemester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them.
Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them. Chapter 9 and 10: Right Triangles and Trigonometric Ratios 1. The hypotenuse of a right
More information