Week2_Suggested Probs - i.e one with an error of...

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Mech 2 Math Suggested Problems Week #2 Brian Wetton September 28, 2010 1. Experimental Measurements determine that a function f ( x ) satisfies f (0) = 0, f (1 / 4) = 1, f (1 / 2) = 3, f (3 / 4) = 6 and f (1) = 8. (a) Estimate 1 0 f ( x ) dx using the Trapezoidal rule. (b) Estimate f (1 / 4), f (1 / 2), and f (3 / 4) using centred difference approximations to the second derivative. (c) Use the information in (b) above to give a rough estimate of the error in the calculation you made in (a). 2. Given the values f ( a ), f ( a + h ), f ( a + 3 h ) find a second order formula
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Unformatted text preview: ( i.e. one with an error of approximately Ch 2 ) for f ( a ). 3. Do the following questions in the text (Differential Equations: an in-troduction to modern methods & applications by Brannan and Boyce) Section 1.1: 3, 5, 7, 11, 15, 23, 31 Section 1.2: 1, 3, 5, 7, 15, 21 Section 1.3: 1, 13, 19 Note that solutions to these problems are in the student solutions man-ual for the text. 1...
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