Math 170 Assignment 2 Due Thursday, February 3, 2021, 11:59 PM 3 Note: Solve all problems using the functions defined in

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Math 170 Assignment 2 Due Thursday February 3 2021 11 59 Pm 3 Note Solve All Problems Using The Functions Defined In 1 (71.93 KiB) Viewed 12 times

Math 170 Assignment 2 Due Thursday, February 3, 2021, 11:59 PM 3 Note: Solve all problems using the functions defined in the Mathematica notebook 01.27.2022.nb. The first four problems refer to the function f(x) defined in Problem 1. 1. Let f(x) = 22" – 210 Find the critical point of f using e = 10-10, and use it to compute the maximum value of f(x) over the interval [0, 1]. 2. Find the smallest interval value M satisfying IF"(x) < M for all x in the interval [0,1]. 3. Find the number of rectangles n so that the integral of f(x) over the interval (0, 1) can be approximated by the Midpoint Rule with an error no greater than 10-10 4. Using the Midpoint Rule with n rectangles, where n is the value obtained in Problem 3, find the approximate area under the curve y = f(x) over the interval (0,1). 5. Find the coefficients of the parabola y ar? +bx+c that passes through the points (1, 10), (2, 20), (3, -5). =