Took care and taught children during the summer of 2017
Exercises 13-22 are mixed-some require integration by parts, while others can be integrated by using techniques discussed in the chapter on Integration$$\int x^{2} e^{8 x} d x$$
How are the absolute maximum and minimum similar to and different from the local extrema?
Can the average rate of change of a function be constant?
For the following exercises, find the average rate of change of each function on the interval specified for real numbers $b$ or $h$ in simplest form.
$$f(x)=4 x^{2}-7 \text { on }[1, b]$$
$$p(x)=3 x+4 \text { on }[2,2+h]$$
$$f(x)=2 x^{2}+1 \text { on }[x, x+h]$$
