practice3 - -x 9 ) dx ; Z 1 (1-x ) 9 dx ; Z cos(ln x ) x dx...

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Math141 - Practice Exam 3 1. Evaluate the limit. lim x 0 e 4 x - 1 - 4 x x 2 ; lim x 0 + x 2 ln x ; lim x ( π/ 2) - (tan x ) cos x . 2. Find f . f 00 ( x ) = 1 - 6 x + 48 x 2 , f (0) = 1 , f 0 (0) = 2. 3. A right circular cylinder is inscribed in a sphere of radius r . Find the largest possible surface area of such a cylinder. 4. Evaluate the integral. Z 9 1 u - 2 u 2 u du ; Z 1 0 (1
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Unformatted text preview: -x 9 ) dx ; Z 1 (1-x ) 9 dx ; Z cos(ln x ) x dx ; Z 1 e x 1 + e 2 x dx ; Z x + 2 x 2 + 4 x dx. 5. Find the derivative of the function. F ( x ) = Z x t 2 1 + t 2 dt ; g ( x ) = Z x 4 cos( t 2 ) dt. y = Z x x e t t dt. 1...
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This note was uploaded on 06/02/2011 for the course MATH 141 taught by Professor Diestel during the Spring '08 term at South Carolina.

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