2. Consider the function f(x,y) = z = sin 2 (y) + y 2 (x-1) 2 .(CANNOT...
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2. Consider the function f(x,y) = z = sin2(y) + y2(x-1)2.(CANNOT NOT USE A CALCULATOR OR COMPUTER TO GRAPH THIS FUNCTION. Instead, graph by hand approximate sections of the graph for y = 0, 1, 2 and for x = 0, 1, 2. Next evaluate the f(1/2, 1). Finally, use your solutions to answer the question: Suppose that a ball was placed on the graph of f(x,y) at the point where x =1/2 and y =. Where do you think the ball would end up, supposing that it rolls downhill when ever it is on a hill?
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