( 784, #1 ) If f(x, y) = , find and interpret these numbers as slopes. Illustrate with sketches.

Solution:

The curve in the plane x = 1 intersects the parabola , and the slope of the tangent line at the point ( 1, 2, 8 ) is .

The curve in the plane y = 2 intersects the parabola , and the slope of the tangent line at the point ( 1, 2, 8 ) is .

Maple code

by: nl