Sol-165E2-F2001

# Sol-165E2-F2001 - MA 165 EXAM 2 Fall 2001 Page 1/4 NAME...

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Unformatted text preview: MA 165 EXAM 2 Fall 2001 Page 1/4 NAME 6VCIC£LH§ K? Z . STUDENT ID RECITATION INSTRUCTOR RECITATION TIME DIRECTIONS 1. Write your name, student ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3 and 4. 2. The test has four (4) pages, including this one. . Write your answers in the boxes provided. 4. You must show sufﬁcient work to justify all answers unless otherwise stated in the problem. Correct answers with inconsistent work may not be given credit. 5. Credit for each problem is given in parentheses in the left hand margin. 6. No books, notes or calculators may be used on this exam. 0:) (12) 1. Find the following derivatives. It is not necessary to simplify. (a) f(t)=m '2 (ii-1t '5)” NPC / ~Sihlx Hm: 1+ League MA 165 EXAM 2 Fall 2001 Page 2 / 4 Name: (8) 2. Find an equation for the tangent line to the graph of y = sinx + cos 2:1: at (1%, 1). 3 T3 161/ Coax :— gSm ax : Q_ 9 lg; .9.st IQCOMSLJTMT 33 a » [5 J: (9) 3. Find the value of each of the following inverse trigonometric functions. —1 = .__L__ _—L 1:; NFC (man (ﬁzg <—> tag”; ,5; a gt‘a “.1 : ~w _ ﬂ: 5’ 6 c, 2&3 <b>cos-1(—1):g<=> Cay-7‘51 Oiéﬁ'w 31 = 2:1“ .2111”— 3 T5 a ..| 4 (chm—19432)): sm<~o= / £5 4%? e w _ __Tz; ” \$— ‘é‘ a a (9) 4. .Find 3—: by implicit differentiation if (ﬂu—y = 1 + \$231 2&3 awf/‘(xiékwﬁxl at? +13%“? (42—3 *3 \ "' 2. 3.34 {'(X‘atY/i x‘) = 33:? - atCX'at) C(43) : 9X21. — O\/ Q: #(Xﬁlav .1 5 ‘37 'g‘cw)"/i ><’°‘* ’- dm X‘s”? 39L (6) 5. Find the second derivative of the function H (t) = tan 3t. «Ll—E H‘ec) = 3563fC HHCt): Q; SBQBt'SBC 3t “tom 31: 63 “L4 07:9 .9: H"<t>= l8 sec at “tom at MA 165 EXAM 2 Name: Fall 2001 Page 3/4 (9) 6. The position of a particle at time t is given by s = 2253 — 6252 of the particle at the instant when the acceleration is zero. 3231: Not): étl— at + LL EH: aC£l=I1t --I9. , Arm ‘— (8) 7. If f(:t:) = 1:2 lnzc, ﬁnd f”(e). Von: 7(2.3'<—+ 30/me Ts 2L“ = X+1><JQM>< II imzl—t— ax-i—ﬁvaﬁvxx 3 + awa d c... iii: (5) 8. Find the differential of y = sin(e"‘). <93 ex cake A). <94 ‘- 0. (8) Rx) = dx, Woe): I {77.3, V36 ‘l’ 1V3;— I IV —-—' 0 law (x, t + [a (O I) rv | V 6+r94: + 4t + 1. Find the velocity 3 [3113 [at +1; :0 —;7 tr—l (121:9 m 3 T5 9. Use a linear approximation to estimate the number \/ 36.1. .3322. a. V? X _ 3 Q ETj (Con/9d” Covwwicc) a his 0 v 36.1 8 ﬂ _ 1&0 MA 165 EXAM 2 Fall 2001 Page 4/4 Name: (8) 10. Find the defvative of y = 1:1”. It is not necessary to simplify. (9) 11. A plane ﬂying horizontally at an altitude of 1 mi and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the direct distance from the plane to the station is increasing when this distance is 2 mi. \V M— , “A &— km 7: Home. Gem Vim/Friuhéza. I 31- . 327‘s. ‘31: X1+| wwg‘ai “=5- éft: - M STahm 2E: 1'? w ~ " 3.13 3%:5400 r—P— rate = (9) 12. A 13 ft. ladder is leaning against a vertical wall when its base starts to slide away. When the base is 12 ft. from the wall, it is moving at a rate of 5 ft/s. At what rate is the angle 6 between the ladder and the ground changing at this time? F‘WCl WW + M ’5‘ (M BE” 5. Wu '3 b 1 7‘ Cose:%=7\$'n9=,§ i C2639 - 713:“ x l 3—H? —SIV\GEC{i;—9‘:F:§_ __ 5’ A9:_\_.5 11212. 13 due 13 ‘ d9 Yacl dG-z__l 71?: “l S ...
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## This note was uploaded on 09/14/2011 for the course MA 165 taught by Professor Bens during the Fall '08 term at Purdue University-West Lafayette.

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Sol-165E2-F2001 - MA 165 EXAM 2 Fall 2001 Page 1/4 NAME...

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