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Unformatted text preview: (b) (2 points) Determine the interval of convergence of the power series. (c) (4 points) Obtain an explicit formula for the function f ( x ) . (d) (2 points) Find the sum of the number series f & 1 5 = 1 X n =1 n 5 n : 6. (10 points) Find the Taylor polynomial of degree 4 of f ( x ) = cos 2 x at a = & 4 . 7. (10 points) Find the length of the curve y = ln (cos x ) ; x & 3 : 8. (10 points) The curve y = 1 & x 2 ; x 1 is rotated about the yaxis. Find the area of the resulting surface. 2 9. (10 points) Solve the initial value problem: dy dx = 3 x 2 e y ; y (0) = 1 10. (10 points) Solve the initial value problem: x dy dx + ( x & 2) y = 3 x 3 e & x ; y (1) = 0 3...
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 Fall '11
 c
 Calculus

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