hw4-sol - Assignment 4 Section 14.1 Problem 2: first using...

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Unformatted text preview: Assignment 4 Section 14.1 Problem 2: first using ? = 0.1 and ? = 0.1 , we have the estimates: ? 1,3 1.1,3 1,3 0.1 = 0.0470 0.0519 0.1 = 0.0493 And ? 1,3 1,3.1 1,3 0.1 = 0.0153 0.0519 0.1 = 0.3660 Now, using ? = 0.01 and ? = 0.01 , we have the estimates: ? 1,3 1.01,3 1,3 0.01 = 0.0514 0.0519 0.01 = 0.0501 And ? 1,3 1,3.01 1,3 0.01 = 0.0483 0.0519 0.01 = 0.3629 Problem 16: From the contour diagram, approximate the values of at nearby ?-values are 3,5 =10, 6.3,5 =8, 0.4,5 =12. Difference quotient approximations are ? 3,5 6.3,5 3,5 6.3 5 = 0.61 ? 3,5 0.4,5 3,5 0.4 3 = 0.77 Another reasonable approximation is obtained by averaging the two difference quotients: ?...
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This note was uploaded on 03/21/2010 for the course AMS 261 taught by Professor Fortmann during the Fall '08 term at SUNY Stony Brook.

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hw4-sol - Assignment 4 Section 14.1 Problem 2: first using...

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