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- Use Simpson's 3/8 rule to compute the approximated solution where f (x) = 1/Cosx + 4 defined at the interval (1,4.5) and n = 7A rectangle is to be inscribed under the arch of the curve y = 4 cos (0.5x) from x = -π to x = π. What are the dimensions of the rectangle with largest area, and what is the largest area?Compute the value of the integral ∫1.40.2(sin2x−loge2x+e2x)dx∫0.21.4(sin2x−loge2x+e2x)dx using Trapezoidal rule with h=0.1h=0.1 Simpson's three-eighth rule with h=0.1h=0.1 Select one or more: a. IT=4.05098IT=4.05098 b. IT=8.04095IT=8.04095 c. IT=8.05006IT=8.05006 d. IS38=7.51470IS38=7.51470 e. IS38=7.31750IS38=7.31750 f. IT=8.00866IT=8.00866 g. IS38=7.05317IS38=7.05317 h. IS38=7.98370