M21exam1W99

# M21exam1W99 - Instructor 1(6 Name Let f x = e(a x 1 The...

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Instructor __________________ Name __________________ 1. Let fx e x (29 = + 1 . The function (29 is one-to-one. (6) (a) Find - 1 . - 1 ___________________________ (b) State the domain and range of and - 1 . : Domain ____________ Range ____________ - 1 : Domain ____________ Range ____________ 2. Suppose g is the inverse function of f and f 45 , f 57 f 35 f 4 2 3 f 74 . Find the value of g 5 . g 5 ___________________________ 3. Solve the following equation. (7) log ln 2 1 x = x = ___________________________

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Instructor __________________ Name __________________ 4. Find the derivatives of the following functions. (7) (a) ye x = + 3 1 (b) yx e x = (7) (c) = (29 - sin tan 12
Instructor __________________ Name __________________ 5. Evaluate the following integrals. (7) (a) 0 1 2 - xe dx x (b) + e e dx x x 1 (c) - x x dx 2 6 1 (d) - + tan 1 2 1 x x dx

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Instructor __________________
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M21exam1W99 - Instructor 1(6 Name Let f x = e(a x 1 The...

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