Answer: 5458
Step-by-step explanation: So the mean is the same thing as the average. To find the mean you add up all of the numbers, and then divide by 5 because there are five numbers. So the sum would be 27,290. Then that divided by 5 would be 5458.
![y' = \frac{dy}{dx}](https://tex.z-dn.net/?f=y%27%20%3D%20%5Cfrac%7Bdy%7D%7Bdx%7D%20)
seperable differential equations will have the form
![\frac{dy}{dx} = F(x) G(y)](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20F%28x%29%20G%28y%29)
what you do from here is isolate all the y terms on one side and all the X terms on the other
![\frac{dy}{G(y)} = F(x) dx](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7BG%28y%29%7D%20%3D%20F%28x%29%20dx)
just divided G(y) to both sides and multiply dx to both sides
then integrate both sides
![\int \frac{1}{G(y)} dy = \int F(x) dx ](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7B1%7D%7BG%28y%29%7D%20dy%20%3D%20%5Cint%20F%28x%29%20dx%0A%0A)
once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it
In your problem,
![G(y) = \sqrt{1-y^2} F(x) = 2x](https://tex.z-dn.net/?f=G%28y%29%20%3D%20%5Csqrt%7B1-y%5E2%7D%0A%0AF%28x%29%20%3D%202x)
so all you need to integrate is
I believe it's A but it's not exactly clear
T is more than -4. Remember that -4 is not included.