Math151Quiz4Sols

# Math151Quiz4Sols - QUIZ 4(SECTIONS 11.6-11.8 SOLUTIONS MATH...

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QUIZ 4 (SECTIONS 11.6-11.8) SOLUTIONS MATH 151 – SPRING 2004 – KUNIYUKI PART 1: GRADED OUT OF 80 POINTS; SCORE CUT IN HALF (80 à 40) PART 2: 65 POINTS TOTAL ON PARTS 1 AND 2: 105 POINTS, BUT 100 POINTS = 100% (PART 1) No notes, books, or calculators! Fill in the table below. You may use the back for [ungraded] scratch work. Simplify where appropriate, but you do not have to compute factorials. fx () First four nonzero terms of the Maclaurin series Summation notation form for the Maclaurin series Interval of convergence, I , for the Maclaurin series sin x x xxx -+-+ 357 !!! ... - + + = Â 1 21 0 n n n x n ! -• • , cos x 1 246 ... - = Â 1 2 2 0 n n n x n ! -• • , sinh x x ++++ ... x n n n 0 + = + Â ! -• • , cosh x 1 ... x n n n 2 0 2 = Â ! -• • , tan - 1 x x ... - + + = Â 1 0 n n n x n - [] 11 , e x 1 23 + +++ x xx !! ... x n n n ! = Â 0 -• • , ln 1 + x x - +-+ 234 ... - + + = Â 1 1 1 0 n n n x n , or - - = Â 1 1 1 n n n x n - ( ] , 1 1 - x 1 + xx x ... x n n = Â 0 - ,

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(PART 2) Show all work, simplify as appropriate, and use “good form and procedure” (as in class).
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## This note was uploaded on 09/08/2011 for the course MATH 151 taught by Professor Bray during the Spring '07 term at Mesa CC.

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Math151Quiz4Sols - QUIZ 4(SECTIONS 11.6-11.8 SOLUTIONS MATH...

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