Consider the function

(a) Find a set of parametric equations of the normal line and an equation of the tangent plane to the surface at the point (1, 1, 1).

(b) Repeat part (a) for the point (-1,2,-4/5).

(c) Use a computer algebra system to graph the surface, the
normal lines, and the tangent planes found in parts (a) and (b).

Transcribed Image Text:

f(x, y) 4xy (x² + 1)(y² + 1)