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Chapter 9: Problem 26
The revenue \(R\) for a company selling \(x\) units is \(R=900 x-0.1 x^{2}\) Use differentials to approximate the change in revenue if sales increase from \(x=3000\) to \(x=3100\) units.
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Use a graphing utility to graph the function. Choose a window that allows all relative extrema and points of inflection to be identified on the graph. \(y=x^{4 / 3}\)
Let \(x=1\) and \(\Delta x=0.01\). Find \(\Delta y\). \(f(x)=\frac{x}{x^{2}+1}\)
Sketch the graph of the function. Choose a scale that allows all relative extrema and points of inflection to be identified on the graph. \(y=\frac{x+2}{x}\)
Use a graphing utility to graph the function. Choose a window that allows all relative extrema and points of inflection to be identified on the graph. \(y=3 x^{2 / 3}-x^{2}\)
Sketch the graph of the function. Choose a scale that allows all relative extrema and points of inflection to be identified on the graph. \(y=\left\\{\begin{array}{r}x^{2}+4, x<0 \\ 4-x, x \geq 0\end{array}\right.\)
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