Chapter 7.8, Problem 4E

Part (a):

To determine

To Graph: the area under the curve $f\left(x\right)=\frac{1}{x^{1.1}}$ and $g\left(x\right)=\frac{1}{x^{0.9}}$.

Part (b):

To determine

To find: the areas under the graphs of function $f$ and $g$ between $x=1$ and $x=t$.

To evaluate: the value of the area of the graphs for $t=10,100,{10}^4{\text{,10}}^6{\text{,10}}^{10}\text{and}{\text{10}}^{20}$.

Part (c):

To determine

To find: the total area under curve $f\left(x\right)=\frac{1}{x^{1.1}}$ and $g\left(x\right)=\frac{1}{x^{0.9}}$ for $x\ge 1$, if it exist.