Question: Using CalcPlot3D, plot the surface z=7xyex2+y2.For each of the points (0.5,0.5),(0,0),(1,1),(1,-1) :(a) Using CalcPlot3D, find the gradient at each point (0.5,0.5),(0,0),(1,1),(1,-1).(b) Explain the change in

Using CalcPlot3D, plot the surface z=7xyex2+y2.For each of the points (0.5,0.5),(0,0),(1,1),(1,-1) :(a) Using CalcPlot3D, find the gradient at each point (0.5,0.5),(0,0),(1,1),(1,-1).(b) Explain the change in the direction and magnitude of the gradient between these points.(c) Using CalcPlot3d, find the directional derivative ofz=7xyex2+y2at each of thesepoints in the direction ofuatan angle of=4.

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