4.3 Applications

# 4.3 Applications - MA 160 W5 4.3 Applications Area and...

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Unformatted text preview: MA 160 W5 4.3 Applications : Area and Definite integrals Name 514 ll“ (ll U5}; 1L6? Vi Revised August 8, 2010 3.. An air conditioning company determines that the marginal cost , in dollars, of manufacturing the xth air conditioner unit is given by C(35) = ——{}.2x + 500, Find the total cost of producing 100 air conditioners. Mrs M "3” [we ” E” ' j (aﬂgxwﬁgﬂxdx 3: 3’ “1% «iv 506K 7:: My rﬂeel “i” 5ee€zemlm0 @ 3» «v M. w Wiaae} all» gﬂjeee; \$99} 000 2. A particle is released as part of an experiment. Its speed 1' seconds after release is given by v(t) m —().612 +10: , where v(t) is in meters per second. a. How far does the particle travel during the first 5 sec? {Integrate from 0 to 5.) 5" _ “w ._3 . \$“Jr ‘ 5:;_ _‘,M3 ”1). l (ﬂee: we} are -: "W s ’6 f [/52 we set 51::in 5 5*» QM?) "r 5(5) r“ ‘9‘ . Q “M i 3 5;: ‘5‘“ e wees,» res": reg/Wises; £3 b. How far does the particle travel during the second 5 sec? (lntegratefmm 5 to 10.) ﬁat?” @333 we} (if Jr W» (11% E4, 5% ”I: :2 m. 42 {re} 1 Kaela» l} seas") g‘r“ séeliﬂ D Himalaya e390 'FE’QSWHQE’; ‘1 a?! £26} ”meg/ms 33. For a freely falling object, alt) x ~32 ft/secz, le} : initial velocity r: v0 , (in ft/sec) , and 5(0) 2 initial height : so (in it). Find a general expression for sltl in terms of Va and so . V(tl :: j-ti-ﬁ‘élérﬁﬁ I”. ggﬁt‘rj sgggiﬁﬁ Va ! f K. m . "gig” f SVQZECLE: j (”5*"ﬁ‘l’ Vol {lg-"3:“ "ngwli an M5 E” egg -':: wr’éfaie Va ﬁne» .5}; .1, m stmsmmg E; (7%) ~::“ W l.’ é‘tﬁ ~-t— :4, “£1 4e 50 3b. A ball is thrown upward from a height of 40 ft, that is, 5(0) : 40, at an initial velocity of 24 lit/sec, or We) = 24. How long will it take before the ball hits the ground? . « __,,, _ _ ' M5? “E? t. j . "‘" ‘5’) {£2 3:» are—l r-wreeteeee-MQ #36:”. Gig: ’3 ﬂ) 0 llamg’wssweﬁ ”*me SC-i’lzee A:::: g l {11! W0 ‘”lbfjﬁi~§2%€~t‘€6"ﬁtw £25] :{3— P «WW “OM” £2? ._,. \$3; l,» e ‘39 WMﬁ’éémw 122m; 4. A truck accelerates at a constant rate from a standstill to 40 km/hr in 30 sec. (Hint: Convert 30 sec to h, using fraction. ,3 a. How fast is the truck traveling after 20 sec? (Convert 20 sec to hr, using fraction. Roundfinal answer to 3 decimal places) i ,3 - - . 4 "H ' 3 QM :1 ”9:7; '91)}, :2“ Egg win, Jets,» are, :3 5i??— 3: alga? a‘h-ﬁe’W/“EWL ﬁrm? ‘i/f'ﬂlx’l Alﬁwdf‘: {MW}! _. t w ,.. 'A. MisoM-wgeegmwuwQJé 1mg m, @Q‘z—M _, w, :2?” a» _ V: 514:, . u . we _' A 1 u } QQ(!§ﬂ}mQ&vépé‘?%/wgmk is. How far has the truck traveled after 20 sec? (Roundﬁnai answer to 3 decimal places.) S’éé’l : E‘s-Ema {whé‘ 3 alga:£kﬂ .: alivéaie ”if; géﬂwmgw} :5 § TE; «1%, l ":2 chiesw ( )L: as. c} 3? if Mega-m. r (Fe Answers: 1. \$49,000 28. 100 meters 2b. 200 meters 3a. 30‘) 2 «Kit2 +th +50 3b. tu-rS/Z sec 43. 26.667 km/hr 41:). 0.074 km ...
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