242test3key014

# 242test3key014 - Math 242 Section 014 Test#3 N AME Please...

This preview shows pages 1–6. Sign up to view the full content.

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

View Full Document

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

View Full Document

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: Math 242 Section 014: Test #3 N AME: ' Please circle your lab/discussion: 060 (12:00) 061 (11:00) 062 (2:30) There are 6 questions on 6 pages. Points per page: 5, 5, 5, C, 5, 6. The 7th page has some f ormulas you eari refer to if n eeded. [5 p oints] Question 1. D etermine w hether the infinite series is absolutely convergent, conditionally convergent, or divergent. /? +2. boes 'it / ' [5 pointy] Question 2. Find the interval of convergence of t he power seres oo X—^ 1)^ i < - y-2 <3 , 1 -> Z € or [5 p oints] Question 3. Find a power series r epresentation of t he f unction 1 + 2.7; 1 - x- ' Then use the first t hree terms of t hat series ( the constant t erm, the x term. , ? , *, • ^O - . and, the x t erm) t o h ud a n approximation t o 02 1 l 0.999 x fl /.S0 X - / f ^a f -y -f -X 1 + IK + i -0-001 0.0(93 +0.000003 = 1.003003 [6 points] Question 4. Find the first t hree terms of the Taylor series for the function and use those f irst t hree terms to get an approximation for ( 1.04) 1 / 2 . 60 = 1 X -f- 0.02 - 0.0002. ' i.om [5 points] Question 5. Find the first three terms of the Taylor series for t he function f ( x ) = c~x sin.x. -2L f *! _:*! + . . . |> -^ -?' * 3! >™ ^ 3) - l_^ - 5! . V- - - '7! 3! 3. 5 . i-x 1' I-'X z~ * 'Y A ^ L /v A 3 A/3 — ^/v3 — X -if" ^^ 3 O^ - /X - [6 p oints] Question 6. Consider the p arametric curve :/; — t + lnt, y ~ t — hit, where 0 < t < oo. F ind dy/dx and d2y/dx'2. Find w here the curve is increasing, decreasing, concave up. or concave down. Sketch t he c urve. i + 1 - J=1 -b <L <! dt -t +1 ,,i 1 up ...
View Full Document

## This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

### Page1 / 6

242test3key014 - Math 242 Section 014 Test#3 N AME Please...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online