Let f(x) = xe". (a) Apply the composite trapezoid rule with m = 6 to approximate comparing with the correct value. f(x) dr. Compute error by

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6. Let f(x)= xe".
(a) Apply the composite trapezoid rule with m = 6 to approximate
comparing with the correct value.
S
f(r) dr. Compute error by
6²
(b) Replace f(x) by its 4th order Taylor polynomial to approximate
by comparing with the correct value
(c) Make table of error of three-point centered-difference formula for f'(0) with h = 0.1, 0.01, 0.001
f(x) dx. Compute error
Transcribed Image Text:6. Let f(x)= xe". (a) Apply the composite trapezoid rule with m = 6 to approximate comparing with the correct value. S f(r) dr. Compute error by 6² (b) Replace f(x) by its 4th order Taylor polynomial to approximate by comparing with the correct value (c) Make table of error of three-point centered-difference formula for f'(0) with h = 0.1, 0.01, 0.001 f(x) dx. Compute error
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