Answer:
The average value of the function on the given interval 6.5.
Step-by-step explanation:
Consider the given function is
![f(x)=\dfrac{2x-1}{2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B2x-1%7D%7B2%7D)
We need to find the average value of the function on the given interval [1,13].
![f(x)=\dfrac{2x}{2}-\dfrac{1}{2}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cdfrac%7B2x%7D%7B2%7D-%5Cdfrac%7B1%7D%7B2%7D)
![f(x)=x-0.5](https://tex.z-dn.net/?f=f%28x%29%3Dx-0.5)
The average value of the function f(x) on [a,b] is
![Average=\dfrac{1}{b-a}\int\limits^b_a {f(x)} \, dx](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7Bb-a%7D%5Cint%5Climits%5Eb_a%20%7Bf%28x%29%7D%20%5C%2C%20dx)
Average value of the function on the given interval [1,13] is
![Average=\dfrac{1}{13-1}\int\limits^{13}_{1} {x-0.5} \, dx](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B13-1%7D%5Cint%5Climits%5E%7B13%7D_%7B1%7D%20%7Bx-0.5%7D%20%5C%2C%20dx)
![Average=\dfrac{1}{12}[\dfrac{x^2}{2}-0.5x]^{13}_{1}](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7Bx%5E2%7D%7B2%7D-0.5x%5D%5E%7B13%7D_%7B1%7D)
![Average=\dfrac{1}{12}[\dfrac{(13)^2}{2}-0.5(13)-(\dfrac{(1)^2}{2}-0.5(1))]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B%5Cdfrac%7B%2813%29%5E2%7D%7B2%7D-0.5%2813%29-%28%5Cdfrac%7B%281%29%5E2%7D%7B2%7D-0.5%281%29%29%5D)
![Average=\dfrac{1}{12}[78-0]](https://tex.z-dn.net/?f=Average%3D%5Cdfrac%7B1%7D%7B12%7D%5B78-0%5D)
![Average=6.5](https://tex.z-dn.net/?f=Average%3D6.5)
Therefore, the average value of the function on the given interval 6.5.
Answer:
Step-by-step explanation:
1.
-4, -2, 0, 4, 10
2.
-2.9, -2.83, -2.09, 2.07, 2.56
3.
-3, -1/10, 1/10, 1/2, 7/8
4.
-3, -2, -0.8, -1/10, 1/2, 0.8, 7
this image might help :))
Answer:
110 ft³ of water
Step-by-step explanation:
Use the prism volume formula, V = Bh, where B is the area of the base and h is the height.
Plug in the area of the base and height, and solve for V:
V = Bh
V = (22)(5)
V = 110
So, the volume is 110 ft³
There is 110 ft³ of water in the tank
Answer: $5.10
Step-by-step explanation: 12 3/4 divided by 0.40
Answer:
Option (b) second one is the correct answer