152pretestII

152pretestII - S ( x ) of e x 2 . S ( x ) = + . . . [ 4 ]...

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MATH 152 FALL 2009 CALCULUS II FOR THE MATHEMATICAL AND PHYSICAL SCIENCES PRETEST II ON DECEMBER 9, 2009 Name: , Total score: [ 20 ] (A) Write down the 7th Maclaurin polynomial T 7 of sin ( x ) . T 7 ( x ) = [ 4 ] (B) Using the 7th Maclaurin polynomial above, write down an approximation to sin ( 1 ) . sin ( 1 ) [ 2 ] (C) Estimate the error between your approximation and the exact value of sin ( 1 ) . K = | T 7 ( 1 ) - sin ( 1 ) | ≤ [4] (D) Compute the first four terms of the Maclaurin series
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Unformatted text preview: S ( x ) of e x 2 . S ( x ) = + . . . [ 4 ] (E) Write down a closed formula for S ( x ) . S ( x ) = n = [ 2 ] (F) Determine the radius of convergence of S ( x ) , and write down the interval of con-vergence of the series. Briey explain your reasoning. R = , interval of convergence = [ , ] [4]...
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This note was uploaded on 02/29/2012 for the course MATH 152 taught by Professor Sc during the Fall '08 term at Rutgers.

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