Question

Display the values of the function in two​ ways: ​(a) by sketching the surface zequals=f (x comma y )f(x,y) and ​(b) by drawing an assortment of level curves in the​ function's domain. Label each level curve with its function value.

Answer 1

(1) f(x,y) = 1-|x|-|y|

(a) 3d figure attached

(b) 2d figure attached

(2) f(x,y) = 6-2x-3y

(a) 3d figure attached

(b) 2d figure attached

Explanation:

The Function is not given in the question. Lets solve this for 2 common function for the internet. Hopefully it can solves the given problem

(1) f(x,y) = 1-|x|-|y|

(2) f(x,y) = 6-2x-3y

All the figures are labelled to avoid confusion. (a) part of both functions have 3D sketches. (b) part of both functions have 2d sketches