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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 —rl3 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: 00Dan
@— iidﬂ; : 00;? + bx
1’5“ :: + QJ’IXj ‘( JUL?— , r W’
BMWI’m ‘ ﬂ ' Z)
—_ x+h+l “L.
7%??? In (W. +FX5F; 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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 Spring '11
 PamelaSatterfield

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