Final Exam FS01 - Math 133 Final Exam, Fall, 2001 Name I.D....

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Math 133 Final Exam, Fall, 2001 Name I.D. No. Section Number YOU MUST SHOW ALL YOUR WORK. ANSWERS WITHOUT SUPPORTING WORK WILL NOT BE AC- CEPTED. CALCULATORS ARE NOT ALLOWED. THERE ARE 14 PROBLEMS. YOU SHOULD CHECK THAT YOUR EXAM HAS ALL 14 PROBLEMS. 1. (18 pts) Compute dy dx . You do not need to simplify your answer. (a) y = tan - 1 (3 x ) answer= (b) y = ( ln( x 2 + 1) ) 3 answer= (c) y = x sin - 1 x answer=
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2. (10 pts) Solve the initial value problem dy dx = xy - x, y (2) = 0 . answer= 3. (32 pts) Evaluate the integrals. (a) Z 5 x xdx answer= (b) Z dx 9 - x 2 dx answer=
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(c) Z x ln xdx answer= (d) Z 18 x 3 - 9 x dx . answer= 4. (10 pts) A particle moves in a straight line with velocity v ( t ) = t 2 - 3 t +2. Find the total distance traveled from time t = 0 to time t = 2. answer=
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5. (7 pts) Determine whether the following improper integral converges or diverges: Z 3 1 dx (3 - x ) 1 / 2 . Write converges or write diverges:
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Final Exam FS01 - Math 133 Final Exam, Fall, 2001 Name I.D....

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