3. Consider the following function f(x, y), defined for y> 0. f(x, y) = x y...

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3. Consider the following function f(x, y), defined for y> 0. f(x, y) = x² √y (a) (2 points) Find (z,y) and (x,y). (b) (2 points) Find f(2,4), (2,4), and of (2,4). (c) (2 points) Let T be the tangent plane to graph of f(x, y) at the point (2, 4, f(2,4)). Determine if the point (1,4, 0) is in the tangent plane T. 3. Consider the following function f(x, y), defined for y> 0. f(x, y) = x² √y (a) (2 points) Find (z,y) and (x,y). (b) (2 points) Find f(2,4), (2,4), and of (2,4). (c) (2 points) Let T be the tangent plane to graph of f(x, y) at the point (2, 4, f(2,4)). Determine if the point (1,4, 0) is in the tangent plane T.

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