Question: Let f(x, y) = 8 - 2x 2 - y 2 . For the following level curves f(x, y) = C and points (a, b),

Let f(x, y) = 8 - 2x² - y². For the following level curves f(x, y) = C and points (a, b), compute the slope of the line tangent to the level curve at (a, b) and verify that the tangent line is orthogonal to the gradient at that point.

f(x, y) = 5; (a, b) = (1, 1)

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