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4. Consider the function f : R2 -> R defined by f(x, y) = x2ey. (a) Draw a picture of the level sets. (b) What
4. Consider the function f : R2 -> R defined by f(x, y) = x2ey. (a) Draw a picture of the level sets. (b) What is the slope of the level set at the point (2, 0)? What about the point (0, 0)? (c) Specify the direction that gives the quickest decrease in f from the point (2, 0). Express the answer as a vector with unit length.(d) What is the angle between this vector and the direction of the level set
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