d. 90, 118 Throttle to 104%

Transcription

1 Nme: Clss: Dte: By redg vlues from the gve grph of f, use fve rectgles to fd lower estmte d upper estmte, respectvely, for the re uder the gve grph of f from = to =. Whe we estmte dstces from velocty dt, t s sometmes ecessry to use tmes t, t, t, t,..., tht re ot eqully spced. We c stll estmte dstces usg the tme perods t = t t. The tle gves the velocty dt for the shuttle etwee lftoff d the jettsog of the sold rocket oosters. Evet Luch Tme (s) Velocty (ft/s) Beg roll meuver 7 Ed roll meuver ,. c., 9 e., 9. Throttle to 9% Throttle to 67% 6 7.., 9. d. 9, Throttle to % The speed of ruer cresed stedly durg the frst three secods of rce. Her speed t hlf secod tervls s gve the tle. Mmum dymc pressure Sold rocket ooster seprto 6 t (s) v (ft / s) () Fd the lower estmte for the dstce tht she trveled durg these three secods usg 6 sutervls. Use ths dt to estmte upper oud for the heght ove Erth's surfce of the spce shuttle, 6 secods fter lftoff. ft ft () Fd the upper estmte for the dstce tht she trveled durg these three secods usg 6 sutervls. ft PAGE

2 Nme: Clss: Dte: The velocty grph of rkg cr s show. Use t to estmte the dstce trveled y the cr whle the rkes re ppled, usg mdpots. Plese roud the swer to the erest foot. y = 6 Fd epresso for the re uder the curve from to s t. Use the followg formul for the sum of the cues of the frst tegers to evlute the t. Use rght edpots d equl sutervls = ( + ). + = 6. = 6. ft c. 6 ft e. ft c. = 6. ft d. ft The velocty grph of cr ccelertg from rest to speed of ft/s over perod of secods s show. Estmte the dstce trveled durg ths perod. Use mdpots d equl sutervls. d. e = = 6 7 If f ( ) =,, fd the Rem sum wth = correct to s decml plces, tkg the smple pots to e mdpots.. ft c. ft e. ft. 6 ft d. ft A tle of vlues of cresg fucto f s show. Use the tle to fd lower d upper estmtes for. Use equl sutervls. 6 9 f ( ) 9 Lower estmte = Upper estmte = PAGE

3 Nme: Clss: Dte: 9 The tle gves the vlues of fucto oted from epermet. f ( ) () Use them to estmte sutervls wth rght edpots. usg three equl Use the Mdpot Rule wth the gve vlue of to ppromte the tegrl. Roud the swer to four decml plces. I = I 6 e d, = Epress the t s defte tegrl o the gve tervl. () Use them to estmte sutervls wth left edpots. usg three equl e, [,9 ] + (c) Use them to estmte sutervls wth mdpots. usg three equl Epress the t s defte tegrl o the gve tervl. [, ] 9 * + 9 *, Use the Mdpot Rule wth the gve vlue of to ppromte the tegrl. Roud the swer to four decml plces. + d, = Use the form of the defto of the tegrl gve equto = f * evlute the tegrl. ( )d to Use the Mdpot Rule wth the gve vlue of to ppromte the tegrl. Roud the swer to four decml plces. s ( )d, = 6 Epress the tegrl s t of Rem sums. Do ot evlute the t. ( + 9l ) d PAGE

4 Nme: Clss: Dte: 7 The grph of f s show. Evlute ech tegrl y terpretg t terms of res. Evlute the tegrl y terpretg t terms of res. 7 ( 7 ) d Evlute the tegrl y terpretg t terms of res. 6 d Evlute the tegrl y terpretg t terms of res. () 6 = 6 d () (c) = = 6 d = Gve tht, wht s? 6 t dt (d) 7 = d d Evlute the tegrl y terpretg t terms of res. 9 Evlute the tegrl y terpretg t terms of res. Wrte the tegrl elow s sgle tegrl the form. + = 6 If d, fd. =. Evlute the tegrl y terpretg t terms of res. ( + ) d PAGE

5 Nme: Clss: Dte: 7 Use the property If m f ( ) M for, the m ( ) M ( ) to estmte the vlue of the tegrl. + 6 d d d c. + 6 d d. + 6 d e. + 6 d PAGE