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Plot the heatmap of following function at 2 planes : x = 3 and z = 1. f(x,y,z) = (x^2)(y^3)z for -5 < x,y,z <


Plot the heatmap of following function at 2 planes : x = 3 and z = 1. 

f(x,y,z) = (x^2)(y^3)z for -5 < x,y,z < 5 

Also, plot the direction (3D) at which the function changes the most. (unit vectors directions)

f(x.y,z) = x'y'z for -5 < x.y,z < 5 Also plot the direction (3D) at which the function changes the most. (unit vectors directions)

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