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# EMCF08key - 29 x x x f x 2 1 cosh = at = x a 2 1-b 29 2 2...

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EMCF08 – 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 EMCF08 . 1. Give the slope of the tangent line to the graph of ( ( ( 1 log 3 2 arctan 3 2 + + + = - x x x f x at 0 = x . a. ( 29 ( 29 3 ln 1 3 ln 2 1 + - b. ( 29 ( 29 3 ln 1 3 ln 2 2 + - c. ( 29 ( 29 3 ln 1 3 ln 2 + - d. ( 29 ( 29 3 ln 1 3 ln 1 + - e. None of these. 2. Give the slope of the tangent line to the graph of ( ( ( ( 1 2 ln 2 arcsin 3 cosh + - + = x x x x f at 0 = x . 1 5 - 3. = + dx x 2 2 9 1 3 2 arctan 2 3 1 3 2 arctan 6 1 3 2 arctan 2 1 3 2 arctan 2 1

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4. = - 4 1 2 x x 1 2 4 1 5. = - dx e e x x 2 4 a. ( C e x + arcsin b. ( C e x + arcsin 2 1 c. C e x + 2 1 arcsin 2 1 d. C e x + 2 1 arcsin e. None of these. 6. Give the slope of the normal line to the graph of
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Unformatted text preview: ( 29 x x x f x 2 1 cosh-+ = at = x . a. 2 / 1-b. ( 29 2 2 ln 1-c. ( 29 2 ln 2 1-d. 2 / 1 e. None of these. 7. Give a value of k so that ( 29 ( 29 5 1 , 3 , = = = y y ky dt dy . a. ( 29 ( 29 3 ln 5 ln-b. ( 29 5 ln 3 c. ( 29 3 ln 5-d. ( 29 5 / 3 ln e. None of these. 8. ( 29 = + ∫ dx x x 1 2 1 arctan a. 8 π b. 32 2 c. 16 2 d. 8 2 e. None of these. 9. The function ( 29 ( 29 ( 29 3 2 sinh 2 arctan + + = 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 ( 29 3 2 sinh 2 arctan + + = 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. 4 / 1-b. 1-c. 3 / 1-d. 2 / 1 e. None of these....
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EMCF08key - 29 x x x f x 2 1 cosh = at = x a 2 1-b 29 2 2...

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