Chapter62003solutions

# Chapter62003solutions - Chapter 6 Test December 9 2003 Name...

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Unformatted text preview: Chapter 6 Test December 9, 2003 Name 1. Evaluate โก ฯ cccc 6 ฯ cccc 3 I โ csc 2 x cos x M dx = โก ฯ cccc 6 ฯ cccc 3 โ 1 ccccccccccccccc sin 2 x cos x dx = โก ฯ cccc 6 ฯ cccc 3 โ csc x cot x dx = A csc x D ฯ cccc 6 ฯ cccc 3 = 2 cccccccccc รจ!!! 3 โ 2 = 2 รจ!!! 3 โ 6 cccccccccccccccc cccccccc 3 2. Evaluate โก e โ 2 x cos x dx u = e โ 2 x v = sin x du = โ 2 e โ 2 x dx dv = cos x dx = e โ 2 x sin x + 2 A โก e โ 2 x sin x dx E u = e โ 2 x v = โ cos x du = โ 2 e โ 2 x dx dv = sin x dx โก e โ 2 x cos x dx = e โ 2 x sin x + 2 A โ e โ 2 x cos x โ 2 โก e โ 2 x cos x dx E or I = e โ 2 x sin x โ 2 e โ 2 x cos x โ 4 I s o I = 1 cccc 5 e โ 2 x sin x โ 2 cccc 5 e โ 2 x cos x + C 3. Solve the intial value problem. Support your answer by overlaying your solution on a slope field for the differential equation. dy ccccccc dx = sin i k j j x cccc 2 y { z z , y H โฯ L = 1 โ 2 ฯ โฯ ฯ 2 ฯ โ 1 1 2 3 y = โก sin i k j j x cccc 2 y { z z dx = โ 2 cos i k j j x cccc 2 y { z z + C and y H โฯ L = โ 2 cos i k j j โฯ ccccccc 2 y { z z + C = 1 โ C = 1 s o y = โ 2 cos i k j j x cccc 2 y { z z + 1 4. Solve the following differential equation by the technique of separation of variables :4....
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## This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at Berkeley.

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Chapter62003solutions - Chapter 6 Test December 9 2003 Name...

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