solve it step by step with proper solution

Part 1: Part 2: Part 3: (a) Find the approximations 710 and Mip Use Midpoint Rule with n Given that for = 4 and the given data to (x) = -32#2cos(Bix) estimate the value of the , find the lowest integral possible upper bound of (x) on [4,7] (Round your answers to six N decimal places.) Hint: Consider the range of cos(BIX). MID= 2 N m 5 6 .O 5 0 (b) Estimate the errors in the IF'(x)IsI approximations of part (a). 0 3 3 (Round your answers to six O decimal places) (c) How large do we have to choose " so that the approximations 7, and M, to the integral in part (a) are accurate to within 0.60019 for T for Me