165E3-F2010

165E3-F2010 - (9) MA 165 EXAM 3 Fall 2010 Page 1/4 NAME...

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Unformatted text preview: (9) MA 165 EXAM 3 Fall 2010 Page 1/4 NAME 10-digit PUID P 3 16 RECITATION INSTRUCTOR age / Page 4 / 30 RECITATION TIME TOTAL AUG DIRECTIONS 1. Write your name, 10—digit PUID, 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. The test has four (4) pages, including this one. Write your answers in the boxes provided. 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. Credit for each problem is given in parentheses in the left hand margin. No books, notes, calculators or any electronic devices may be used on this exam. 2. 3. 4. Find the absolute maximum and absolute minimum values of the function f 2: 4 on the interval [0,4]. 1: abs. max. f( )2 I abs. min. f( )2 2. Let = 5 — 33% and note that f(—1)= f(1) 2 4 (a) Can you apply Rolle’s theorem? circle one YES NO (b) If your answer is YES, find a numer c 6 (—1,1) such that f’(c) = 0. If your answer is NO, explain. (30) ’ (6) MA 165 EXAM 3 , em—l—x (M1335 T‘ (b) wiggle (:3 6? ~ sin 53: 1' . <6) tangx , sing: — :1: <d> (e) lim (030 a: — cot :E—>0+ . a (f) 913%(1 — 33:) on. Fall 2010 Name 4. If f’ is continuous, f(2) = 0 and f’(2) : 7, find 11m :13-‘>0 Page 2/4 3. Find each of the following as a real number, +00, —00, 01‘ write DNE (does not exist). f(2 + 3x) + f(2 + 51:) CE MA 165 EXAM 3 Fall 2010 Name Page 3/4 (16) 5. Let f = a: — ln :10. Give all the requested information and sketch the graph of the function on the axes below. Give both coordinates of the intercepts, local extrema and points of inflection7 and give an equation for each asymptote. Write NONE Where appropriate. .7! 2 1 ——-l l | | --l l > :E —3 —2 -1 1 2 3 —1 —2 domainf J intercepts ‘ symmetry I horizontal asymptotes vertical asymptotes intervals of increase intervals of decrease local maxima l: local minima intervals of concave down intervals of concave up points of inflection L MA 165 EXAM 3 Fall 2010 Name Page 4/4 (12) 6. Find the slope m of the line through the point (3, 5) that cuts the least area from the first quadrant. (12) 7. Find the a3'c00rdinate of the points on the ellipse 4:132 + y2 : 4 that are farthest from the point (1,0). 1 1224—1 (6) 8. Find the function f such that f’(m) 2 and f(—\/§) = 1. ...
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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.

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165E3-F2010 - (9) MA 165 EXAM 3 Fall 2010 Page 1/4 NAME...

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