Using Lagrange multipliers, solve for the points on the ellipse (x2/4)+ y2 = 1 that are farthest from the point A(0, -3/2) You should consider the square of the distance from A to a point (x, y) on the given ellipse.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 51E
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Using Lagrange multipliers, solve for the points on the ellipse
(x2/4)+ y2 = 1 that are farthest from the point A(0, -3/2)

You should consider the square of the distance from A to a point (x, y) on the given ellipse.

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