Originally Posted by
fearless901 1. Consider the part of the surface f(x; y) = x^2y-xy^3 + 8 over the
rectangle D = {(x, y) : 0 <=x <=2 , -1 <=y <=2}.
(a) Plot the surface over D. Using a 30 by 30 grid.
(b) Construct a contour plot of that part of the surface with 30 con-
tours.
(c) Plot the surface together with its tangent plane at the point where
x = 0.8 and y = 0.5. Choose a vantage point from which you
can see that the plane is tangent to the surface (include the point
of Tangency as part of your plot).
2. (a) Use the integration commands in the symbolic tool-kit to find the
volume of the solid region between the xy-plane and the surface
drawn in Question 1.
(b) Use the numerical integration command dblquad to find the vol-
ume of the solid region between the xy-plane and the surface
drawn in Question 1.
i have no idea any can help me plz