Answer to Question #49128 in Calculus for Bob

Question

Let f(x,y) = 100 + 10 x + 25y - x^(2) - 5y^(2)

a. Describe the cross sections of the surface z = f(x,y) produced by cutting it with the planes y = 0, y = 1, y = 2, and y = 3.

b. Describe the cross sections of the surface in the planes x = 0, x = 1, x = 2, and x = 3.

c. Describe the surface z = f(x,y)