The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each measure x inches. If x is changing, Solve, a. Find the average rate of change of the area with respect to x as x changes from 10 inches to 10.1 inches and from 10 inches to 10.01 inches. b. Find the instantaneous rate of change of the area with respect to x at the moment when x = 10 inches.
The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each measure x inches. If x is changing, Solve, a. Find the average rate of change of the area with respect to x as x changes from 10 inches to 10.1 inches and from 10 inches to 10.01 inches. b. Find the instantaneous rate of change of the area with respect to x at the moment when x = 10 inches.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
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The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each measure x inches. If x is changing, Solve, a. Find the average rate of change of the area with respect to x as x changes from 10 inches to 10.1 inches and from 10 inches to 10.01 inches. b. Find the instantaneous rate of change of the area with respect to x at the moment when x = 10 inches.
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