2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that are furthest away from the point (3, 0). First she draws the diagram shown and then thinks she needs to optimize the distance formula between the fixed point and the general point (x, y). Then Mikayla will use the equation of the ellipse as the constraint to write a function in terms of one variable. Finally she will use calculus to solve the problem. (x,y) (3,0) Follow Mikayla's plan to solve the problem! Points on the ellipse that are furthest from (3, 0): places if necessary. You may round to three decimal

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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Mikayla is a calculus student and needs to find the points on the ellipse +
81 1296
x² y²
away from the point (3, 0). First she draws the diagram shown and then thinks she needs to optimize the
distance formula between the fixed point and the general point (x, y). Then Mikayla will use the equation of
the ellipse as the constraint to write a function in terms of one variable. Finally she will use calculus to solve
the problem.
(x,y)
(3,0)
Follow Mikayla's plan to solve the problem!
Points on the ellipse that are furthest from (3, 0):
places if necessary.
=
1 that are furthest
You may round to three decimal
Transcribed Image Text:Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 x² y² away from the point (3, 0). First she draws the diagram shown and then thinks she needs to optimize the distance formula between the fixed point and the general point (x, y). Then Mikayla will use the equation of the ellipse as the constraint to write a function in terms of one variable. Finally she will use calculus to solve the problem. (x,y) (3,0) Follow Mikayla's plan to solve the problem! Points on the ellipse that are furthest from (3, 0): places if necessary. = 1 that are furthest You may round to three decimal
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