EMCF07key - e None of these 7 Give the solution to 29 2 4 =...

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EMCF07 – Math 1432, 13596 The answer sheet for this assignment can be found by logging into CourseWare at http://www.casa.uh.edu , selecting Math 1432(13596) , clicking on the EMCF tab at the top of the page, and selecting EMCF07 . 1. Give the slope of the tangent line to the graph of ( ( x x f 2 sinh = at 1 = x . a. 2 2 / 1 e e - b. e e / 1 c. e e / 1 - d. 2 2 / 1 e e + e. None of these. 2. Give the slope of the tangent line to the graph of ( ( x x f 2 cosh = at 1 = x . 3. ( ( = x 3 ln cosh x 6 1 2 3 + x 6 1 2 3 - 4. ( ( 29 = + dx x x sinh 1 cosh - 2 sinh 1 2
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5. ( 29 = dx x tanh a. ( ( C x + cosh ln b. ( ( C x + sech ln c. ( C x + 2 sech d. C x x + + 2 1 2 e. None of these. 6. ( 29 = dx x e x cosh (Hint: Use the definition of hyperbolic cosine.) 1 1 2 1 2
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Unformatted text preview: e. None of these. 7. Give the solution to ( 29 2 , 4 = = y y dt dy . a. t e 2 4 b. t e 4 2 c. t e 2 4-d. t e 4 2-e. None of these. 8. ( 29 ( 29 = ∫ dx x x cosh sinh (Be careful!) a. C e e x x +--2 2 8 1 8 1 b. C e e x x + +-2 2 8 1 8 1 c. C e e x x + +-2 2 4 1 4 1 d. C e e x x +--2 2 4 1 4 1 e. None of these. 9. The function ( 29 ( 29 3 2 sinh + + = x x x f is invertible. Give ( 29 1 '(3) f-. a. 1/ 4 b. 1/3 c. 1/ 2 d. 1 e. None of these. 10. The function ( 29 ( 29 3 2 sinh + + = x x x f is invertible. Give the y-intercept for the tangent line to the graph of 1 ( ) f x-at 3 x = . a. 1/ 4 b. 1/3 c. 1/ 2 d. 1 e. None of these....
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