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Unformatted text preview: x should you use?) 3. (25 points) a) Using the Taylor series cos x = 1x 2 2! + x 4 4!x 6 6! + ... , nd the rst three nonzero terms of the Taylor series of cos(3 x )1 x . b) Given that e x = 1+ x + x 2 2! + x 3 3! + ... , nd the rst three nonzero terms of an innite series converging to Z 1 e 2 x1 x dx 4. (25 points) a) Evaluate Z R Z e 2 yx dydx where R is the region bounded by x = 0 ,x = 1 ,y = 0 , and y = 2. b) Evaluate Z 1 ( Z y 2 y x + xydx ) dy...
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 Spring '08
 BIGHAM
 Mole

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