how do i find the average rate of change over the interval h(t)= sint ; [2pi/3 , 11pi/6]
Average rate of change =
[h(b) - h(a)] / [b - a] where b = 11pi/6 and a = 2pi/3
[sin(11pi/ 6) - sin (2pi/3)] / [ 11pi/ 6 - 2pi/ 3] =
[ -1/2 - sqrt(3)/2] / [ 11pi/6 - 4pi/6] =
[ -1 - sqrt(3)] /[ 2(7pi/6) ] =
- [ 1 + sqrt(3)] / [7pi / 3] =
-3[1 + sqrt(3)] / [7pi] =
about -0.3727