ENGR Spring Exam 1

Transcription

1 ENGR 300 Sprig 03 Exam INSTRUCTIONS: Duratio: 60 miutes Keep your eyes o your ow work! Keep your work covered at all times!. Each studet is resposible for followig directios. Read carefully.. MATLAB ad Excel commads are provided o the ext page. 3. This exam cosists of 9 questios o 7 pages (4 sheets frot AND back). Check to be sure that you have all of the pages. 4. Write your ame, PUID, Sectio #, ad Team # o both sides of the aswer sheet. 5. Closed book ad otes. 6. No calculators. 7. Please make sure you retur the aswer sheet (you may keep this booklet). 8. Elemet-by-elemet computatios are to use appropriate otatio ONLY where ecessary. Academic Itegrity Statemet I have ot used material obtaied from ay other uauthorized source, either modified or umodified. Neither have I provided access to my work to aother. The solutios I am submittig are my ow origial work.

2 s Statistics Equatios Liear Regressio Liear y = mx + b = ( x i x) a xi + b = yi Expoetial a xi + b xi = xi y y = b e mx i xi x y = b 0 i mx s = ( ) SSE = [ yi f ( x i )] Logarithmic x = b e my x = b 0 my SST = [ y i y] r = SSE SST Power y = b x m x = b y m + - * / ^ =.*./.^ % & ~ && = = < > <= >= ' (traspose), : ; [ ] (ull vector) ( )... (ellipsis) abs acos all as ay asi ata clc clear cos csc disp doc cumsum error exit exp factorial figure MATLAB Fuctios / Operators fid lookfor format max fpritf mea grid media help mi hist NaN hold oes i, j pi If plot leged prod legth quit lispace roud load sec log si log0 size logspace sort sqrt std subplot sum ta title who whos xlabel xor ylabel zeros Selectio of MATLAB plot Special Characters Lie Type Idicator Poit Type Idicator Color Idicator solid - circle o blue b dotted : x-mark x gree g dash-dot -. plus + red r dashed -- square s black k Excel Fuctios + - * / ^ = EXP MIN STDEV $ IF MODE SUM ABS LN OR TAN AND LOG0 PI AVERAGE MAX SIN COS MEDIAN SQRT

3 Problem # (5 poits) The followig variables have bee assiged i the MATLAB Commad Widow: >> L = 5 >> N = [3, 5, 8] >> P = [0,, 7] >> Q = [3 6 8; 8 6 3] >> S = [3 0; 9 3] What is displayed i the MATLAB Commad Widow after each of the followig operatios is performed? If ay error messages will result, explai the reaso for the error message. A. >> U = L == N B. >> V = L ~= N.* P C. >> W = N <= Q D. >> X = ay(n <= P) E. >> Y = fid(~(q > S)) Problem # (6 poits) Use a truth table to evaluate the followig: xor((x y), (~y & x)). You ca use the followig truth table to develop your aswer, but you must show your work o the Aswer Sheet to receive full credit. Remider: Make sure that you show your work o the Aswer Sheet to receive full credit. 3

4 Problem #3 (5 poits) Fuel flow rates are listed i cells B ad B3 i a Excel spreadsheet. Both flow rates are i gallos per miute [gpm]. Write a logical statemet i cell B4 to display the word equal if the flow rates are the same ad the words ot equal if the flow rates are differet. Problem #4 (8 poits) Joh observed the speed of 00 cars o the iterstate highway I-65 ear the exit for Dayto, IN, ad he created the followig histogram i Excel. A. Create a cumulative distributio, suitable for techical presetatio, from the give histogram o the axes provided o the aswer sheet. Frequecy Observatio of car speed o I-65 ear Dayto, IN Speed [mph] B. What is the likelihood that a radom car o I-65 i the same area will be goig 75 mph or faster? Show your work. Problem #5 (4 poits) Fracie is workig i a team of four, ad oe of her team members Arthur has ot bee pullig his weight. He does t show up o time to team meetigs, does t come prepared to do the work they eed to do together, ad does t get his work doe o time for others to review it before it eeds to be submitted. Describe how two () tools we have used i ENGR 3 ad 3 could be used by Fracie ad her other teammates to improve Arthur s participatio? 4

5 Problem #6 (4 poits) Graham ad his teammates have had a tough start to the semester. After they got to kow each other a bit (poit A), thigs started fallig apart (poit B). Oe of his teammates, Cassie, was always showig up late to meetigs ad ot beig prepared, aother teammate Aade was always distractig everyoe from their work, ad aother teammate Said ever said much ad acted like he was t there. However, after workig more with each other ad learig more about each other (poit C), they worked through their difficulties ad developed ew ways of workig together as a group. Graham is relieved they are ow operatig well together (poit D). Help Graham diagose what stage of teamig his team was i at each poit. Problem #7 (7 poits) The followig is the opeig paragraph of a memo from a egieerig team to their supervisor describig their egieerig work. Which elemets of Re-usability has the team icluded? To: Morga Peer, Project Maager From: Team 5 RE: Amusemet Park Project Our team has spet the last five weeks developig a procedure for your desig team. It will use group size, group time at park, amusemet iterests, amusemet capacity ad duratio, ad historical attedace records. [Circle ALL that apply] a. Direct user b. Deliverable c. Fuctio d. Criteria for Success e. Costraits f. Overarchig Descriptio of Model g. Limitatios of use The exam cotiues o the ext page. 5

6 Problem #8 (8 poits) The followig feedback statemets from a peer o your MEA model are based o a set of MEA assessmet dimesios. Match each feedback statemet to oe MEA Assessmet Dimesio (o the right). A dimesio may be used more tha oce or ot at all. [Circle oe respose for each.] A. Why did your team decide to use stadard deviatio rather tha rage (which is aother optio)? B. You eed to show a reasoable umber of sigificat figures. C. The upper value of 0 agstroms meas that this procedure caot be used with AFM images with heights greater tha that. Your team does ot idicate this." D. Make sure to give a ratioale for every step i your procedure. a. Mathematical Model b. Re-usability c. Modifiability d. Share-ability The exam cotiues o the ext page. 6

7 Exam Formula Sheet ENGR 300 Sprig 03 Problem #9 (3 poits) Maggie eeds to determie the area ad perimeter of right triagles for istacess whe oly the legth of sides a ad b are kow. She has writte a user-defied fuctio i MATLAB to calculate the legth of the hypoteuse c usig the Pythagorea Theorem (a + b = c ) ad the used that to calculate the area ( ) ad the perimeter (a + b + c). Maggie wats her fuctio to work such thatt she ca pass sets of a ad b pairs all at oce. For istace, she would like to pass these three test cases as vectors, ad get the correspodig area ad perimeter vectors retured. Maggie has defied the followig variables i the MATLAB workspace: >> a_sides = [ 4 9] >> b_sides = [ 5 ] A. Maggie s user-defied fuctio is show below. Ufortuately, Maggie has several errors i her user-defied fuctio. Help her correct her mistakes by:. Describig six (6) completely differet kids of errors. Iclude the lie umber(s) where the errors occur. If the same type of error occurs o multiple lies, list all lie umbers.. Re-write the lies of code to fix the errors. Theree may be more tha oe error per lie umber. Lie MATLAB Code # [tri_perimeter, tri_area] c = sqroot(a^ + b^); 3 Area = / * A * B; 4 Perimeter = a + b + c; = fuctio my_triagle[ a, b] B. Write the oe lie of code that Maggie will eed to execute at the MATLAB Commad Widow to use her fuctio with her testt case variables (already assiged i the workspace). Assume she wats to create variables called abc_areas (for the resultig triagle areas) ad perims (for the resultig perimeters) whe she makes the call to her fuctio. 7