Find the minimum distance between a point on the ellipse x 2 + 2y2 = 1 and a point on
Chapter 4, Problem 34(choose chapter or problem)
Find the minimum distance between a point on the ellipse x 2 + 2y2 = 1 and a point on the line x + y = 4. (Hint: Consider a point (x, y) on the ellipse and a point (u, v) on the line. Minimize the square of the distance between them as a function of four variables. This problem is difficult to solve without a computer.)
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