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1432finalexamreview_key - Math 1432 Final Exam Review KEY 1...

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Math 1432 Final Exam Review KEY 1. a. 1 8( 0) y x - = - b. 3 14( 0) y x = - c. 3 y = 2. a. 2 2 1 1 1 3 2 x y + - + = b. 2 12 1 y x = - 3. a. 2 ( ) 2 x f x xe = b. ( 29 2 1 ( ) sec ln f x x x = c. sin sin ( ) ln( ) cos( ) x x f x x x x x = + d. ( ) 3cosh(3 ) f x x = e. 2 sinh cosh ( ) x x x f x x - = 4. a. 1 1 3 2 sinh(3 ) cosh(2 ) x x C + b. 3 3 x e C c. ( 29 2 3 ln 2 x C d. 7 1 cosh(5 ) 7 5 x e x C - + e. 1 cos(3 ) arctan 12 4 x C - + f. 2 3 arctan 2 2 x C g. 1 ln | cos(3 ) | 3 x C - + h. ( 29 2 1 arctan(3 ) 6 x C
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i. 2 2 4 ln ln 4 2 2 x x C or x x C + + + + + j. 2 9 9 arcsin 2 3 9 x x x C - + k. ( ( 3 ln 4 3 ln x x x x C - + l. 2 2 2 x x x x e xe e C - + + m. 3ln | 1| ln 2 2ln | 2 | x x x C - + + + + - + n. 2 ln | 1| ln 1 3arctan x x x C - + + + + + o. 2 9 9 arcsin 3 9 x x x C - - + p. 2 1 2 arctan(10 ) ln 1 100 10 x x x C - + + q. 3 sin(2 ) 3cos(2 ) 2 4 x x x C + 5.
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