Chapter 8.3, Problem 34P

To determine

(a)

To graph:

The contour plots of a function $f\left(x,y\right)$ if $f_x>0\text{ and }{f}_y>0$.

To determine

(b)

To graph:

The contour plots of a function $f\left(x,y\right)$ if $f_x>0\text{ and }{f}_y<0$.

To determine

(c)

To graph:

The contour plots of a function $f\left(x,y\right)$ if $f_x<0\text{ and }{f}_y>0$.

To determine

(d)

To graph:

The contour plots of a function $f\left(x,y\right)$ if $f_x<0\text{ and }{f}_y<0$.