Chapter 8, Problem 7CRQ

To determine

To fill: “A function $f\left(x,y\right)$ has a relative maximum at $\left(a,b\right)$ if $f\left(x,y\right)$ ______ $f\left(a,b\right)$ for all points $\left(x,y\right)$ that are sufficiently close to ______. The absolute maximum value of $f\left(x,y\right)$ is the number $f\left(a,b\right)$ such that $f\left(x,y\right)$ _______ $f\left(a,b\right)$ for all $\left(x,y\right)$ in the _____ of f”.