# Math Help - [SOLVED] Calculus - interval

1. ## [SOLVED] Calculus - interval

h(t) = sin t, [3pi/4,4pi/3]

plz help me solve this, try to give me an explanation on every step plz. i checked but i can't find anything on this in the book. i am basically having problem with this because of the sin.

2. Average rate of change of h(t) beween to points a and b can be found as follows

$\frac{h(b)-h(a)}{b-a}$

$\frac{h(\frac{4\pi}{3})-h(\frac{3\pi}{4})}{\frac{4\pi}{3}-\frac{3\pi}{4}}$

$\frac{\sin(\frac{4\pi}{3})-\sin(\frac{3\pi}{4})}{\frac{4\pi}{3}-\frac{3\pi}{4}}$

Can you take it from here?

3. i got to there also but i dont know how to solve the sin part. how does the square root come in.

4. got it thanks alot.