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Mathematics, 09.04.2020 21:33 rainbowdashgirl68

Consider the paraboloid f(x, y) = 16 - x2/4 - y2/16 and the point P on the given level curve of f. Compute the slope of the line tangent to the level curve at P and verify that the tangent line is orthogonal to the gradient at that point.

f(x, y) = 0; P(0, 16)

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