Webwork 3 - solutions

# Webwork 3 - solutions - Samadhi Gunasekera Senarath Dias...

This preview shows pages 1–2. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

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

Unformatted text preview: Samadhi Gunasekera Senarath Dias Widhanaral Assignment 3 MATH262, Fall 2009 due 10/18/2009 at 11:59pm EDT. You may attempt each problem a maximum of 7 times. 1. (1 pt) The function f ( x ) = 3 ( 1- 9 x ) 2 is represented as a power series f ( x ) = ∞ ∑ n = c n x n . Find the first few coefficients in the power series. c = c 1 = c 2 = c 3 = c 4 = Find the radius of convergence R of the series. R = . Correct Answers: • 3 • 54 • 729 • 8748 • 98415 • 0.111111111111111 2. (1 pt) The function f ( x ) = 9 x arctan ( 7 x ) is represented as a power series f ( x ) = ∞ ∑ n = c n x n . Find the first few coefficients in the power series. c = c 1 = c 2 = c 3 = c 4 = Find the radius of convergence R of the series. R = . Correct Answers: • • • 63 • •-1029 • 0.142857142857143 3. (1 pt) Compute the 9th derivative of f ( x ) = cos ( 4 x 2 )- 1 x 3 at x = 0. f ( 9 ) ( ) = Hint: Use the MacLaurin series for f ( x ) ....
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

Webwork 3 - solutions - Samadhi Gunasekera Senarath Dias...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online