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Amber is a calculus student and needs to find the points on the ellipse 2 y + 64/ 576 = 1 that are furthest
Amber is a calculus student and needs to find the points on the ellipse 2 y + 64/ 576 = 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 Amber 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) d (3,0) Follow Amber's plan to solve the problem! Points on the ellipse that are furthest from (3,0): You may round to three decimal places if necessary.
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