Answer:
17/24
Step-by-step explanation:
2 5/6 = ![\frac{17}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B6%7D)
*
= ![\frac{17}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B24%7D)
Answer:
or StartFraction 2 (1 minus e) Over pi EndFraction
Step-by-step explanation:
The average rate of function f(x) over the interval [a,b] is given by:-
![\dfrac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
Given : ![f(x)=e^{\sin x}](https://tex.z-dn.net/?f=f%28x%29%3De%5E%7B%5Csin%20x%7D)
The average rate of change over
will be:
![\dfrac{f(\pi)-f(\dfrac{\pi}{2})}{\pi-\dfrac{\pi}{2}}=\dfrac{e^{\sin \pi}-e^{\sin \dfrac{\pi}{2}}}{\dfrac{\pi}{2}}\\\\=\dfrac{e^0-e^1}{ \dfrac{\pi}{2}}\\\\=2(\dfrac{1-e}{\pi})](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28%5Cpi%29-f%28%5Cdfrac%7B%5Cpi%7D%7B2%7D%29%7D%7B%5Cpi-%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%3D%5Cdfrac%7Be%5E%7B%5Csin%20%5Cpi%7D-e%5E%7B%5Csin%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%7D%7B%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7Be%5E0-e%5E1%7D%7B%20%5Cdfrac%7B%5Cpi%7D%7B2%7D%7D%5C%5C%5C%5C%3D2%28%5Cdfrac%7B1-e%7D%7B%5Cpi%7D%29)
Hence, the average rate of change over
is
.
7 squares on the left 2x circles on the right 3 squares underneath the circles
The volume formula is Bh or base times height, The base is a triangle. 23.2*12/2= 139.2 Then multiply by height of 24 to get 3340.8 cubic inches