Day15-1432class

Day15-1432class - a. 1/5 b. 2/5 c. 3/5 d. 4/5 e. None of...

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Math 1432 pamb@math.uh.edu www.math.uh.edu/~pamb THINK: If it were two hours later, it would be half as long until midnight as it would be if it were an hour later. What time is it now? A. 18:30 B. 20:00 C. 21:00 D. 22:00 E. 23:30

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POPPER Assignment 9 People Soft # 1. - + 2 2x 3 dx 9 x a. ln + + 2 9 x C b. arctan + 1 1 C 3 3 c. ln arctan + - + 2 x 9 x C 3 d. ln + + 3 x C
2. Determine which integral is obtained when the substitution x = sin θ is made in the integral - 1 2 0 1 x dx . a. sin cos π θ θ θ 2 0 d b. cos π θ θ 2 2 0 d c. cos π θ θ 0 d d. cos π θ θ 2 0 d

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Rational Functions and Partial Fraction Decomposition Section 8.5
In general, each linear factor of the form (x − α) k in the denominator gives rise to an expression of the form ( 29 ( 29 ( 29 ... + + + - - - 1 2 k 2 k A A A x a x a x a 1. + - 2 dx x x 2

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2. + - 3 2 x 1 dx x x
3. + = - + 2 x 1 dx x 5x 6 A. ( 29 - - + + - + 2 2 2 x 2x 11 C x 5x 6 B. ( 29 ( 29 ln - + - 4 3 x 3 C x 2 C. ( 29 ( 29 ln - - + 4 3 x 3 x 2 C D. ( 29 ( 29 ln - - + 3 4 x 3 x 2 C

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4. ( 29( 29 2 - = + - + - + x 3 A B x 3 x 2 x 3 x 2 Find A.

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Unformatted text preview: a. 1/5 b. 2/5 c. 3/5 d. 4/5 e. None of the above Now, if the denominator has an irreducible quadratic factor of the form + + 2 x bx c then we have a term in the form + + + 2 Ax B x bx c . Give the form of the partial fraction decomposition for: 3. ( 29( 29 ( 29-+ +-+ + 2 2 2x 3x 1 x 1 x 2 x x 1 4. ( 29( 29 ( 29-+ +-+ + 2 2 2 2x 3x 1 x 1 x 2 x x 1 5. Find the partial fraction decomposition of ( 29( 29---+ 3 2 2 2x 4x 8 x x x 4 . 5. ( 29 ( 29 + = +-+-+ 2 2 1 A Bx C x 1 x 1 x 1 x 1 Give the value of B. a. 1/2 b. 1/2 c. 1 d. 1 e. None of these 6. Find the partial fraction decomposition of: ( 29 + 2 2 1 x x 1 Compute: 7. + + 3 x 1 dx x x From Homework: 32. + 3 3 1 1 dx x x 35. cos sin sin - - 2 d 2 8 36. + + x 2x x e dx e 5e 6...
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This note was uploaded on 03/06/2011 for the course MATH 1432 taught by Professor Morgan during the Spring '08 term at University of Houston.

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Day15-1432class - a. 1/5 b. 2/5 c. 3/5 d. 4/5 e. None of...

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