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Problem 56

$53-56$ (a) Use a graph to estimate the absolute…

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Problem 55

$53-56$
(a) Use a graph to estimate the absolute maximum and
minimum values of the function to two decimal places.
(b) Use calculus to find the exact maximum and minimum
values.
$$f(x)=x \sqrt{x-x^{2}}$$

Answer

A. SEE GRAPH
The absolute minimum value of $f(x)$ is $=0$
The absolute maximum value of $f(x)$ is $\approx 0.32$
B. abs max: $\frac{3 \sqrt{3}}{16} \quad$ abs min: 0



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