Question

Find the average rate of change of the function over the given interval or intervals. G(t)= 2 + cos t.
Interval [0, pi]

Answer 1

2/pi

Answer 2

that is correct. need the steps?

Answer 3

find value at 0
and then at pi
then divide their difference by length of interval

Answer 4

oh whoops maybe it isn't lets check. average rate is
\[\frac{G(\pi)-G(0)}{\pi-0}\]
\[=\frac{2+\cos(\pi)-(2+\cos(0))}{\pi}\]
\[=\frac{2-1-(2+1)}{\pi}\]
\[=\frac{-2}{\pi}\]

Answer 5

Thank you so much! I actually just solved it too and got -2/pi. Was just making sure it was right.