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1. Consider the function f(:n,y) = (a: 1)2 + 3(3) 2)2 + 5. (a) Sketch a graph of this function or use a tool like

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1. Consider the function f(:n,y) = (a: 1)2 + 3(3) 2)2 + 5. (a) Sketch a graph of this function or use a tool like GeoGebra3D to make a graph. Using your graph, what would you guess is the equation of the tangent plane at the point where m = 1 and y = 2? Why? (b) Use derivatives to compute the equation of the tangent plane described in part (a) and compare to your guess in (a)

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