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Quandaries & Queries
Q & Q
 Topic: max-min problem
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 A calculus optimization problem 2015-05-14 From Ali:Given an elliptical piece of cardboard defined by (x^2)/4 + (y^2)/4 = 1. How much of the cardboard is wasted after the largest rectangle (that can be inscribed inside the ellipse) is cut out?Answered by Robert Dawson. A max-min problem 2009-03-24 From Jay:Determine the area of the largest rectangle that can be inscribed between the x-axis and the curve defined by y = 26 - x^2.Answered by Harley Weston. A max-min problem 2005-12-16 From Julie:A car travels west at 24 km/h. at the instant it passes a tree, a horse and buggy heading north at 7 km/h is 25 km south of the tree. Calculate the positions of the vessels when there is a minimum distance between them.Answered by Penny Nom. Mrs. Faria lives on an island 2005-12-15 From Julie:Mrs. Faria lives on an island 1 km from the mainland. She paddles her canoe at 3 km/h and jogs at 5 km/h. the nearest drug store is 3 km along the shore from the point on the shore closest to the island. Where should she land to reach the drug store in minimum time?Answered by Penny Nom.

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