Solved: 6869. Level curves Let f 1x, y2 = 8 - 2x2 - y2.

Chapter 12, Problem 68

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6869. Level curves Let f 1x, y2 = 8 - 2x2 - y2. For the following level curves f 1x, y2 = C and points 1a, b2, compute the slope of the line tangent to the level curve at 1a, b2 and verify that the tangent line is orthogonal to the gradient at that point. f 1x, y2 = 5; 1a, b2 = 11, 12

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