Quiz6Spr2010 - T n ( f , a , b ) = a + a 2 n 2 + a 4 n 4 +...

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Honors Calculus II Quiz 6 1. Solve the following differential equations using power series. (a) !! y + y = 0 y (0) = 0 ! y (0) = 1 (b) ! y = y + x 2 y (0) = 2 2. Let T n ( f , a , b ) be the Trapezoidal Rule to estimate the integral f ( x ) dx a b ! using n subdivisions. It has been shown that
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Unformatted text preview: T n ( f , a , b ) = a + a 2 n 2 + a 4 n 4 + ! (a) What is a ? (b) Suppose that T n and T 3 n have been computed. How can these be combined to give a better estimate of f ( x ) dx a b ! ?...
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This note was uploaded on 07/14/2011 for the course MAC 3473 taught by Professor Block during the Spring '08 term at University of Florida.

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