Approximate the arc length of the graph of the function over the interval [0, 8] in three ways. (Round your answers to three decimal places.) f(x)=x² (a) Use the Distance Formula to find the distance between the endpoints of the arc. (b) Use the Distance Formula to find the lengths of the four line segments connecting the points on the arc when x = 0, x= 2, x = 4, x = 6, and x = 8. Find the sum of the four lengths. (c) Use the integration capabilities of a graphing utility to approximate the integral yielding the indicated arc length.

Approximate the arc length of the graph of the function over the interval [0, 8] in three ways. (Round your answers to three decimal places.) f(x)=x² (a) Use the Distance Formula to find the distance between the endpoints of the arc. (b) Use the Distance Formula to find the lengths of the four line segments connecting the points on the arc when x = 0, x= 2, x = 4, x = 6, and x = 8. Find the sum of the four lengths. (c) Use the integration capabilities of a graphing utility to approximate the integral yielding the indicated arc length.

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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