Final Review KEY

Final Review KEY - 7 Final Exam Review Precalculus 1 At...

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7 Precalculus Final Exam Review 1. At 9:00 pm Bob leaves his home and starts walking to the bus stop it a constant speed of 9.3 feet per second. Bob's house is 4320 feet from the bus stop. ' ' ' ' a. Define variables for the quantities that are changing (BE SPECIFIC). {= pu'.nbrr' ,r{ 5tccudr glape;d 5rrrts BoD {rft lr,, l,oric t\ r f 1",,' e)i:t6q1p ,n {<e* f .-cut foU 'lo i's lUu:;g rq: tl,. chdnrrsE 1,r{ect {ro''a 13ot: tc tl'i'- t'rr:3 stop b. What does it mean to say Bob walks at a constant speed of 9.3 feet per second? .ihec|runqeinBcu!jr.1ta.r,g#€--l-.Gc-P.n-1'.eti3ll1 .... ";15-{o't+ J Lr'tll\c'{ /l r ' ' I I ^- 1-6rl,c oi e.) / t tt, tl,. r,itor3" "'in tl't nUn"nLi, c{ 5e ccrrr.[: c.lafsrel 5'n{f fl>ob lt{l hi: hc'rt' c. Consider the formula d = 4320 - 9.3t i. What does / represent? tlt, nrnnba, ,f 5gctids olop't'\ 5r\tlt Pli,, le{ t l''; }iou5t ii. What does 9.3r represent? iii. What does d represent? 2. A rock is dropped into the middle of a lake creating a circular ripple. The radius of the circle increases at a constant rate of 5 cm each second. Define a function g that determines the radius of the circular ripple after / seconds have elapsed since the rock hit the water. <1( t)= 5t 3. Let dbe the distance of a car, measured in feet, from mile marker 120, and let / be the number of seconds that have elapsed since the vehicle has passed mile marker 120. The distance d is a function of the time / and is represented by the functionf defined d : f (t)where/(r) : / +t. a. As the number of seconds elapsed increases from2 to 3.5 seconds, what is the change in the car's distance from mile marker 120? {3;i:iiii;I, bL,3 b) * (t.'\ t,b,-/5 b- q'tifct* b, Determine the average speed of the car over the time interval of 1 second to 4 seconds. t(1):iLr\ = i"u: 4 -E= C,n/" 'l*l 3 t c. Explain the meaning of average speed in this context. Tk. a_on'tanl t(tl'J -nJ.l ** tr+,-e \ {f,. s(\Tqr 6r*#."if t I { o!' ; te"iie r r{' tift' :#ffqI ii.rri.cr{'i" *€ f rnrE, Final Exam Review @ 2013 Carlson, Oehrtman, and Moore Page I

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7 Precalculus Final Exam Review 4. Consider the function that defines the revenue in dollars obtained by selling.x units, R(x), and another function that defines the cost in dollars, C(x), obtained by producin! x units. a. Explain the meaning of R(120). The revcnue in c\cilc*, s .,rb'lalnei U'tr Sel\'\ b. Explain the meaning of R(120 + h) - R(120). Tht- chonc* , n the reltil r,e i^ dc\lcr'; {o. :g ll'n1 h + }Lo ,tn',\5 -iro* lZD en;-15 3x.a -tbx - \i* o b. What is the vertical intercept? (S^-rg)(xt')tO IZC ui1.t s l?.o Cat:>dLiLtil(l X u,tr't5. lJ IZC u,,,*s . \fVtil r.C All K evrpt X=-\, xt-t313 jx-tb1tg cr r,l't(i x# \3/3 xf-l =-? ffi )o y=\/g d. Explain the meaning of R(120) - C(120). 'rl, )i {{.\zl1cr " ,"' ' thc nenv'r+{ n,'r\ LC'-) 1 "f 5c I | "i e\ '} T\t"o r&Stt5c"^s t\t ,rtcii{ ttc*' :e ll'9' P''oiucJt'r3 Explain tle mebning of R-r(60,000) fhl ,.u,*be r o* unit5 5.ltI to obl'ai'\\$U0 / cco i11 Consider the fuirction f (x\= ," - 4 3x" -l0x-13 a. What is the domain of this function?
• Fall '14
• Frank
• Calculus, Carlson, Oehrtman

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