fx165f2009_1

Fx165f2009_1 - (c d dx h 7 √ 3 x i(d d dx Z 1 x t 1 t 4 1 dt 2 Find d dx h x 2 1 x 3 i 3 Simplify the following(a cos(sin-1 x 4 Evaluate the

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Math 165 Final Exam, Fall 2009 Name : Section: This part of the exam has 12 problems on 3 pages. Each problem is worth 4 points. You may NOT use a calculator on this section. You must show all work. The answers do not need to be simpliﬁed unless the problem speciﬁcally requests simpliﬁcation. This part of the exam will be collected after 60 minutes . 1. Evaluate the following derivatives: (a) d dx h ln x 4 + 1 i (b) d dx [arctan(2 x + 1)]

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Unformatted text preview: (c) d dx h 7 √ 3 x i (d) d dx Z 1 x t + 1 t 4 + 1 dt 2. Find d dx h ( x 2 + 1) x 3 i 3. Simplify the following: (a) cos(sin-1 x ) 4. Evaluate the following integrals: (a) Z 2-2 (6 x 3 + 3 x 2-3 x ) dx (b) Z (3 sin 2 x + 4 e 3 x ) dx 5. Evaluate the following integrals: (a) Z e 3ln x dx (b) Z e x e x + 2 dx (c) Z 2 t 3 √ t 4 + 9 dt (Simplify your answer.) (d) Z 1 1 √ 4-x 2 dx (Simplify your answer.)...
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This note was uploaded on 10/04/2010 for the course MATH 166 taught by Professor Hotlz during the Spring '08 term at HCCS.

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Fx165f2009_1 - (c d dx h 7 √ 3 x i(d d dx Z 1 x t 1 t 4 1 dt 2 Find d dx h x 2 1 x 3 i 3 Simplify the following(a cos(sin-1 x 4 Evaluate the

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