**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” '
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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.)
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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
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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? . « __,,, _
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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 '
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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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