{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

152pretestII

# 152pretestII - S x of e x 2 S x = 4(E Write down a closed...

This preview shows page 1. Sign up to view the full content.

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
This is the end of the preview. Sign up to access the rest of the document.

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. Brieﬂy explain your reasoning. R = , interval of convergence = [ , ] [4]...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online