Chapter 12.4, Problem 14TE

a.

To determine

To plot: The graphs of the functions $f\left(x\right)={\tan }^{2}x$ and $g\left(x\right)=5-\sqrt{1+\sqrt{x}}$.

b.

To determine

To find: The area of the region enclosed by the graphs of $f\left(x\right)={\tan }^{2}x$ and $g\left(x\right)=5-\sqrt{1+\sqrt{x}}$  and the vertical lines $x=0$ and $x=1$.