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Consider the surface defined by z = f(x,y) = x+y^2+1. a）Sketch axes that cover the region...

Consider the surface defined by z = f(x,y) = x+y^2+1.

a）Sketch axes that cover the region -2<=x<=2 and -2<=y<=2.On the axes , draw and clearly label the contours for the eights z=0 ,z=1,and z=2.

b)evaluate the gradients of f(x,y) at the point (x,y) = (0.-1), and draw the gradient vector on the contour diagrqam .

c)compute the directional derivative at(x,y) = (0,-1) in the direction V =<2,1>.

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