242test3key050 - M ath 242 Section 050: Test #3 NAME: „...

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

View Full Document Right Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon

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

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: M ath 242 Section 050: Test #3 NAME: „ _____ There are 6 questions on 6 pages. P ointy per page: 5, 5, 5, 0, 5, 6. The 7th page has some f ormulas you can refer to if needed. [5 points] Question 1. D etermine whether the i nfinite series is absolutely convergent, conditionally convergent, or divergent. - \.<l Tf J-t - "- I/O [5 points] Question 2. F ind t he interval of convergence of t he power ^ ' 3??, an = - as 9 < 5" -? or < [5 p ointy] Question 3. Find a power series r epresentation of the f unction l+4xl-x' Then use the f irst t hree terms of t hai, series (the constant term, the x t erm, ,, 9 r! 1 -004 and the x t erm to imd an a pproximation to ---. ; 0.999 /)lso l-'X 0(^0.001 ^ 1 +0.00^ ^ i± 0.005 +0.000005 L'°'ooi ~ [6 points] Question 4. Find the first t hree t erms of t he Taylor series for t he function /(*) = ( !+a:) 1 / 2 and use those first three terms to get an approximation for (1.08)1/2. o " ^ ' i -L+. 2. [5 points] Question 5. Find t he f irst t hree terms of the Taylor series for the function f ( x ) =e. x sin(-x). 11 3! 2\L 5. 7 35" 3 *_ -Y *3 (o - ^y^ 3 z — s [6 points] Question 6. Consider the p arametric curve x — t + \u t, y — t — ln /,, whore 0 < t < oo. F ind dy/dx jiiid d2y/dx2. F ind where the curve is increasing, decreasing, concave up, or concave down. Sketch the curve. / •t /)< ;f i<l d d -t-fl A\WMjS C$f\cd\fc uf> ...
View Full Document

Page1 / 6

242test3key050 - M ath 242 Section 050: Test #3 NAME: „...

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

View Full Document Right Arrow Icon
Ask a homework question - tutors are online