Question

INSTANTANEOUS RATE OF CHANGE PROBLEM

Answer 1

deatils?

Answer 2

\[\int\limits_{0}^{x^2}sint dt\]

Answer 3

Left f(x) = see above. At how many points in the closed interval o to root pi does the instantaneous rate of change of f equal the average rate of change of f on that interval?

Answer 4

That is an integration problem. Instantaneous rate of change is usually derivatives.

Answer 5

-cost+C

Answer 6

I understand the integration part but how do you compare the rates of change?

Answer 7

Derivatives and Antiderivates are inverses. Recall integration is an antiderivate except it has an interval (in this case 0 to x^2) . Those numbers are also limits.
Example addition and subtraction are inverses because one undoes the other.