Let (a) Compute the exact values And (b) Compute approximations to (1.25) and (1.26) using the composite trapezoidal rule (1.16) with n D 2. Compute the relative error. (c) Graph f and g on the...


Let


(a) Compute the exact values





And





(b) Compute approximations to (1.25) and (1.26) using the composite trapezoidal rule (1.16) with n D 2. Compute the relative error.



(c) Graph f and g on the interval Œ0; 1=2 and draw the two linear interpolants as in Fig. 1.3. Use these graphs to explain why the error of the approximation of (1.26) is larger than the error of the approximation of (1.25).




Nov 19, 2021
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