Question: 7. Consider the definite integral I = / f(x) dx where f(x) = sin(e-). (Make sure your calculator is set to radians, RAD.) (a) (3

7. Consider the definite integral I = / f(x) dx where

7. Consider the definite integral I = / f(x) dx where f(x) = sin(e-). (Make sure your calculator is set to radians, RAD.) (a) (3 points) Compute the approximation SN(f) given by Simpson's rule for N = 4 subinter- vals of equal size of the interval [0, 1]. (b) (3 points) Find a bound for the error |SN(f) - I| given the plot of the 4th derivative f(4) (x): O 0.0 0.2 0.4 0.6 0.8 10

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