# 200191 Sample Test3 Answers %28A-11%29 - CLASS TEST...

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Page 1 of 3 CLASS TEST 3 (Sample Test-Answers) AUTUMN SESSION 2011 SCHOOL OF COMPUTING AND MATHEMATICS Question 1 (2+2+2 marks) Find the derivatives (with respect to the variable x) of the following functions. Simplify the result as much as possible. a)       x x x x f x 2 2 2 2 Final Answer:      1 2 2 x x x x f b)     2 2 cos x x f Final Answer:       x x x f 2 sin 2 cos 4 3 c)   x e x x f ln Final Answer:   x e x x x f ln 1 Question 2 (2+2 marks) Compute the following integrals. a)   dx x x 7 Final Answer:   C x x dx x x 7 7 2 / 5 5 2 b)   dx e x x 5 1 Final Answer:   C e x dx e x x x 5 5 1 5 1 ln

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Page 2 of 3 Question 3 (2+2+2 marks) a) The circumference of the Earth at the equator is (approximately) 40075160m. Assume that this value is exact and that the equator is a perfect circle.
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## This note was uploaded on 05/28/2011 for the course SCI 300500 taught by Professor Suzen during the Spring '11 term at University of Western States.

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200191 Sample Test3 Answers %28A-11%29 - CLASS TEST...

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