math 2b midterm #2

# math 2b midterm #2 - x 4 14 Find the derivative of the...

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1 . Compute ± 4 x dx 2 . Compute ± csc 2 (3 x ) dx 3 . Compute ± x - x x dx 4 . Compute ± e - 5 x dx 1

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5 . Find f ± ( x ) for the function f ( x )= ± cos x - 2 ² 1 - t 2 dt 6 . Compute y ± for the function y = e 2 x ln x 7 . Compute y ± for the function y = x ln x 2
8 . Let R be the region bounded by y = e x , 0 x 1 , and y =0 . Find the area of R . 9 . Let R be the region bounded by y = - 2 x , y = x 2 , and 0 x 1 . Find the area of R . 3

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10 . . Find the arc length of y =2 x 3 / 2 , 0 x 7 . 11 . Let R be the region bounded by y = x 2 and y =1 . Compute the volume of the solid formed by revolving R about the line y = - 1 . 4
12 . Let f ( x )= x 3 +2 x +1 . Assume f has an inverse and compute d dx f - 1 ( a ) , where a =1 . 13 . Find the derivative of the function y = cos(ln(cos

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Unformatted text preview: x 4 )) . 14 . Find the derivative of the function y = e tan x . 15 . Compute ± e cot x cos 2 x dx 5 16 . Compute ± e x √ 2+ e x dx 17 . Compute ± e 3 x-1 e x dx 18 . Compute ± (1+ln x ) 3 x dx 19 . Compute ± 1 x-x ln x dx 6 20 . Compute ± sec(1 /x ) x 2 dx 21 . Compute ± sin( √ x ) √ x dx 22 . Compute ± cos(ln x ) x dx 23 . Compute ± sec 2 x tan 2 xdx 7 24 . Compute ±-1 √ xe √ x dx 25 . Compute ± ( x + 1 /x ) 2 dx 8...
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## This note was uploaded on 07/14/2010 for the course MATH 2B taught by Professor Staff during the Summer '05 term at UC Irvine.

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math 2b midterm #2 - x 4 14 Find the derivative of the...

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