Exam2solns - Math 221 C G´ omez Summer 2008 D Milovich Exam 2 Name Solutions Discussion Section Instructor(circle one G´ omez Milovich Problem

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Unformatted text preview: Math 221 C. G´ omez Summer 2008 D. Milovich Exam 2 July 21, 2008 Name: Solutions Discussion Section Instructor (circle one): G´ omez Milovich Problem Score 1 2 3 4 5 6 Total 20 10 20 20 10 20 100 This exam contains 10 pages, and 6 (mul- tipart) problems. Before you begin, please make sure all the pages are here. The last page of the exam contains formulas you may not need. If you decide to tear off that page, please do so carefully. No calculators, notes, or books are allowed. You must show all your work, and ex- plain your reasoning, to receive credit for your answers. Be sure to check your answers whenever pos- sible. Good luck! Math 221 Exam 2 –Solutions 2 1. Find the indicated derivative. (a) [5 points] d dx 2 x- 3 ( x 2 + 4) 2 Don’t simplify your answer. = ( x 2 + 4) 2 (2)- (2 x- 3)(2( x 2 + 4))(2 x ) ( x 2 + 4) 4 (b) [5 points] d dx x + 1 x- 1 3 Don’t simplify your answer. = 3 x + 1 x- 1 2 ( x- 1)- ( x + 1) ( x- 1) 2 (Continued on next page) Math 221 Exam 2 –Solutions 3 1. (continued) (c) [5 points] f 00 ( θ ), where f ( θ ) = (cos 2 θ )- 2 Don’t simplify your answer. f ( θ ) =- 2(cos 2 θ )- 3 (- 2 sin 2 θ ) = 4 sin 2 θ cos 3 2 θ f 00 ( θ ) = (cos 3 2 θ )(8 cos 2 θ )- (4 sin 2 θ )(3 cos 2 2 θ...
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This note was uploaded on 08/08/2008 for the course MATH 221 taught by Professor Denissou during the Summer '07 term at Wisconsin.

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Exam2solns - Math 221 C G´ omez Summer 2008 D Milovich Exam 2 Name Solutions Discussion Section Instructor(circle one G´ omez Milovich Problem

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