We look to calculate the point on the ellipse 4x^2+ y^2 = 4 that is farthest from the point (1,0). a) Represent the previous problem in a diagram b) If it must be solved using optimization of functions (maximum and minimum), what is the function that allows to find the farthest point? c) Is there more than one point that meets the condition of being the farthest from (1,0)? Discuss your answer

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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We look to calculate the point on the ellipse 4x^2+ y^2 = 4 that is farthest from the point (1,0).

a) Represent the previous problem in a diagram

b) If it must be solved using optimization of functions (maximum and minimum), what is the function that allows to find the farthest point?

c) Is there more than one point that meets the condition of being the farthest from (1,0)? Discuss your answer

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