?(a) Graph the functions $f(x)=1 / x^{1.1}$ and $g(x)=1 / x^{0.9}$ in both the

Chapter 7, Problem 4

(choose chapter or problem)

(a) Graph the functions $f(x)=1 / x^{1.1}$ and $g(x)=1 / x^{0.9}$ in both the viewing rectangles [0,10] by [0,1] and [0,100] by [0,1].

(b) Find the areas under the graphs of $f$ and $g$ from $x=1$ to $x=t$ and evaluate for $t=10,100,10^{4}, 10^{6}, 10^{10}$, and $10^{20}$.

Equation Transcription:

$f(x)\ \ =\ \ 1/{x}^{1.1}$

$g(x)\ \ =\ \ 1/{x}^{0.9}$

$f$

$g$

$x\ \ =\ \ 1$

$x\ \ =\ \ t$

$t\ \ =\ \ 10,\ 100,\ 1{0}^{4},\ 1{0}^{6},\ 1{0}^{10}$

$1{0}^{20}$

$x$ ⩾ 1

Text Transcription:

f(x)=1 / x^{1.1}

g(x)=1 / x^{0.9}

x = 1

x = t

t = 10,100,10^{4}, 10^{6}, 10^{10}

10^{20}

x geqslant 1

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?(a) Graph the functions \(f(x)=1 / x^{1.1}\) and \(g(x)=1 / x^{0.9}\) in both the