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Unformatted text preview: Extra Credit- Calculus III Name: Due, May 30, 11 AM. Just 4 of the following problems will be graded and they will be chosen on May 30. Each graded problem will count 25 points no matter what the test says. Problems #6 & # 8 now must be done. Remember this is a HW, so you can work together. Please do most of your work on these pages. This means you should first work out a rough draft and then fill in these pages with the important points. Problems such as # 1 -# 4 (& # 5- # 8) could be back on the final, which is 2 weeks from today. 1. Find the Taylor series for f ( x ) = cos( x ) expanded around a = π. (a) Recall Taylor’s formula for f ( x ) expanded around x = a ☛ (Important Term Form) f ( x ) = f ( a ) 0! + f (1) ( a ) 1! ( x − a ) + f (2) ( a ) 2! ( x − a ) 2 + f (3) ( a ) 3! ( x − a ) 3 + ··· ☛ (Summation Form) f ( x ) = ∞ summationdisplay k =0 f ( k ) ( a ) k ! ( x − a ) k ....
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- Spring '08
- Calculus, #, 2W, 2 weeks, 6W, Extra Credit- Calculus