Exam 2 Key - Calculus I, Exam #2 Tuesday, M h , 2011...

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Unformatted text preview: Calculus I, Exam #2 Tuesday, M h , 2011 Chapter 3 Name You must show all work to receive credit. Answers without appropriate supporting work will not receive credit, even if correct. There are 11 problems worth 10 points each. Only your best 10 attempts will count. Circle our answers. 1) For each of the following, find 3—: Do not simplify your answers. (5 points each) 2) Find 3—: ( Do not simplify your answers) a. Y: Wcoszx) = x was M “JUN/1U 3) Find dy/dx. (Do not simplify your answers) a. y = sinx2 + coszx 4) Findz—Zforxz—Blny+y2 = 10 2x~——-§—%g +23%L’LLO (“-3- +23391 = "ZX 3 5’) (L)! #33 21 fl 2’ x z, .. 3{5 1L L3 ’5 'f' 23 5) A silver dollar, dropped from the top of a building that is 1362 feet high has a height above ground of 3(t) = —16t2 + 1362 after 1: seconds. a. What is the velocity of the coin after 3 seconds? w.) = ~322c —l> m) z ——3 2(5) = *0! to fit/«lea b. How long does it take for the coin to reach the gmund? watt —r-l3 ears—o /-I> t2, elat‘ertaaz fixq.22& c. What is its velocity at impact? 6) a. Given the parametric equations x = 15,); = V1 — t3, 0 S t S 1, graph the corresponding curve and identify the orientation of the curve. In other words, if the curve represents a particle’s path, graph the path and identify the direction of motion. (6 points) 1). Find an equation for the tangent line to the graph of the curve above at the point where t = 3 a ( 14:1) "Wat? —- t l I l 937: - £31 _ x+1 7) Fmddxfory—x flmb: 00-Dan @— iidfl; : 00;? + bx 1’5“ :: + QJ’IXj ‘( JUL?— , r W’- BMW-I’m ‘ fl ' Z) —_ x+h+l “L. 7%??? In (W. +FX5-F; 9) A ladder 25 feet long is leaning against a wall of a house. The base of the ladder is pulled away from the wall at the rate of 2 feet per second. How fast is the top of the ladder moving down the wall when its base is 7 feet from the wall? Give an exact answer in feet I sec. 19% #435 : i (“I dr 7 lewrfllz LS 2x d’fif Jr 27%!“ TWO oak/W} ? WV’7V all L 10) An airplane flies at an altitude of 5 miles toward a point directly over an observer. The speed of the plane is 600 miles per hour. Find the rate at which the angle of elevation is changing at the moment the angle of elevation is 30° 5 5 We: —-* i Weir X :5 7. d9 , 1.5.. LLL WWG I/TE 39’0"]{03 ’5 11. Find f “(x). Do not simplify your answer. f(x) =$+tanx ...
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This note was uploaded on 01/12/2012 for the course MATH 2554 taught by Professor Pamelasatterfield during the Spring '11 term at NorthWest Arkansas Community College.

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Exam 2 Key - Calculus I, Exam #2 Tuesday, M h , 2011...

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