1. Let f(x) = 22" – x10. 10-10, and use it to compute the Find the critical point of f using e = maximum value of f(x) over the interval [0, 1]. 2. Find the smallest interval value M satisfying |f"(x)| < M for all r in the interval (0, 1]. 3. Find the number of rectangles n so that the integral of f(r) 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]. %3D
1. Let f(x) = 22" – x10. 10-10, and use it to compute the Find the critical point of f using e = maximum value of f(x) over the interval [0, 1]. 2. Find the smallest interval value M satisfying |f"(x)| < M for all r in the interval (0, 1]. 3. Find the number of rectangles n so that the integral of f(r) 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]. %3D
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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