Answer:
y = 4x - 3
Step-by-step explanation:
I graphed all of them and this was the only equation that had a slope of 4 and passes through point (2,5)
Answer:
i don't know its ans thank you
Well , in 3 hours , the amount of the tank that will be filled with pipe A = 8,000 x 3 = 24,000 L
Pipe could empty that 24,000 L in 3 hours.
So the capacity is around 6 - 8 L . .. . we need additional information to find out for sure
hope this helps
Change the order of integration.
![\displaystyle \int_0^1 \int_{2y}^2 \cos(x^2) \, dx \, dy = \int_0^2 \int_0^{x/2} \cos(x^2) \, dy \, dx \\\\ ~~~~~~~~ = \int_0^2 \cos(x^2) y \bigg|_{y=0}^{y=x/2} \, dx \\\\ ~~~~~~~~ = \frac12 \int_0^2 x \cos(x^2) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cint_0%5E1%20%5Cint_%7B2y%7D%5E2%20%5Ccos%28x%5E2%29%20%5C%2C%20dx%20%5C%2C%20dy%20%3D%20%5Cint_0%5E2%20%5Cint_0%5E%7Bx%2F2%7D%20%5Ccos%28x%5E2%29%20%5C%2C%20dy%20%5C%2C%20dx%20%5C%5C%5C%5C%20~~~~~~~~%20%3D%20%5Cint_0%5E2%20%5Ccos%28x%5E2%29%20y%20%5Cbigg%7C_%7By%3D0%7D%5E%7By%3Dx%2F2%7D%20%5C%2C%20dx%20%5C%5C%5C%5C%20~~~~~~~~%20%3D%20%5Cfrac12%20%5Cint_0%5E2%20x%20%5Ccos%28x%5E2%29%20%5C%2C%20dx)
Substitute
and
.
![\displaystyle \frac12 \int_0^2 x \cos(x^2) \, dx = \frac14 \int_0^4 \cos(u) \, du = \frac14 \sin(u) \bigg|_{u=0}^{u=4} = \boxed{\frac{\sin(4)}4}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac12%20%5Cint_0%5E2%20x%20%5Ccos%28x%5E2%29%20%5C%2C%20dx%20%3D%20%5Cfrac14%20%5Cint_0%5E4%20%5Ccos%28u%29%20%5C%2C%20du%20%3D%20%5Cfrac14%20%5Csin%28u%29%20%5Cbigg%7C_%7Bu%3D0%7D%5E%7Bu%3D4%7D%20%3D%20%5Cboxed%7B%5Cfrac%7B%5Csin%284%29%7D4%7D)
Answer:
m∠ADB = 59°
Step-by-step explanation:
I've provided my work which also includes how I check my answers by using the information given! Hope this helps!!! If you have any questions, I can try to help.