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Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

Find the point on the parabola shown below that is closest to the point (4, 0). V y=x²

Calculus: Early Transcendentals
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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Find the point on the parabola shown below that is closest to the point (4, 0). y=x² (a) Express the square of the distance between the parabola and the point (4, 0) in terms of x only. Note: Minimizing the square of the distance can be used in this case to avoid working with square roots. S(x) = (b) Find the coordinates of the point on the parabola to two decimal places.
Transcribed Image Text:Find the point on the parabola shown below that is closest to the point (4, 0). y=x² (a) Express the square of the distance between the parabola and the point (4, 0) in terms of x only. Note: Minimizing the square of the distance can be used in this case to avoid working with square roots. S(x) = (b) Find the coordinates of the point on the parabola to two decimal places.
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