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Math151OldSols4

# Math151OldSols4 - QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH...

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QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH 151 – SPRING 2003 – KUNIYUKI PART 1: GRADED OUT OF 80 POINTS; SCORE CUT IN HALF (80 40) PART 2: 60 POINTS TOTAL ON PARTS 1 AND 2: 100 POINTS (PART 1) 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. f x ( ) First four nonzero terms of the Maclaurin series Summation notation form for the Maclaurin series Interval of convergence, I , for the Maclaurin series 1 1 - x 1 2 3 + + + + x x x ... x n n = Â 0 - ( ) 1 1 , sin x x x x x - + - + 3 5 7 3 5 7 ! ! ! ... - + ( ) ( ) + = Â 1 2 1 2 1 0 n n n x n ! -• ( ) , cos x 1 2 4 6 2 4 6 - + - + x x x ! ! ! ... - ( ) ( ) = Â 1 2 2 0 n n n x n ! -• ( ) , tan - 1 x x x x x - + - + 3 5 7 3 5 7 ... - + ( ) + = Â 1 2 1 2 1 0 n n n x n - [ ] 1 1 , ln 1 + ( ) x x x x x - + - + 2 3 4 2 3 4 ... - + ( ) + = Â 1 1 1 0 n n n x n , or - ( ) - = Â 1 1 1 n n n x n - ( ] 1 1 , e x 1 2 3 2 3 + + + + x x x ! ! ... x n n n ! = Â 0 -• ( ) , sinh x x x x x + + + + 3 5 7 3 5 7 ! ! ! ... x n n n 2 1 0 2 1 + = + ( ) Â ! -• ( ) , cosh x 1 2 4 6 2 4 6 + + + + x x x ! ! ! ... x n n n 2 0 2 ( ) = Â !

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Math151OldSols4 - QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH...

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