# I need help withe equation

**Question description**

section 4.1

1.Between 0°C and 30°C, the volume *V* ( in cubic centimeters) of 1 kg of water at a temperature *T* is given approximately by the formula

^{2}− 0.0000679T

^{3}

Find the temperature at which water has its maximum density. (Round your answer to four decimal places.)

2.If *a* and *b* are positive numbers, find the maximum value of *f*(*x*) = *x*^{a}(8−*x*)^{b} on the interval

0 ≤ x ≤ 8.

3.Sketch the graph of*f*by hand and use your sketch to find the absolute and local maximum and minimum values of

*f*. (Use the graphs and transformations of Sections 1.2 and 1.3. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

^{2},0 < x < 6

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