62.48
This is because the 5 turns the 7 into an 8
Answer:
its 8
Step-by-step explanation:
Divide 400÷50
Answer:
=(x-2)/3(x+4)
Step-by-step explanation:
F(x)=x²-3x+2/3x²+9x-12
Using mid term break formula
=x²-2x-x+2/3(x²+3x-4)
=x(x-2)-1(x-2)/3(x²+4x-x-4)
=(x-2)(x-1)/3{x(x+4)-1(x+4)}
=(x-2)(x-1)/3(x-1)(x+4)
Cancelling (x-1)
We get
=(x-2)/3(x+4)
Hope it helps :)
Using the shell method, the volume is
![\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5Cpi%20%5Cint_0%5E1%20%282-x%29%20%5Ccdot%208x%5E3%20%5C%2C%20dx%20%3D%2016%5Cpi%20%5Cint_0%5E1%20%282x%5E3%20-%20x%5E4%29%20%5C%2C%20dx)
Each cylindrical shell has radius
(the horizontal distance from the axis of revolution to the curve
); has height
(the vertical distance between a point on the
-axis in
and the curve
).
Compute the integral.
![\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2016%20%5Cpi%20%5Cint_0%5E1%20%282x%5E3%20-%20x%5E4%29%20%5C%2C%20dx%20%3D%2016%5Cpi%20%5Cleft%28%5Cfrac%7Bx%5E4%7D2%20-%20%5Cfrac%7Bx%5E5%7D5%5Cright%29%20%5Cbigg%7C_%7Bx%3D0%7D%5E%7Bx%3D1%7D%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~~~~~~~~~~~%20%3D%2016%5Cpi%20%5Cleft%28%5Cfrac12%20-%20%5Cfrac15%5Cright%29%20%5C%5C%5C%5C%20~~~~~~~~~~~~~~~~~~~~~~~~~~~~%20%3D%20%5Cfrac%7B24%7D5%5Cpi%20%3D%20%5Cboxed%7B4.8%5Cpi%7D)
Suppose the three integers are x, x+2, and x+4
x+x+2+x+4=288
3x+6=288
3x=282
x=94
the three numbers are 94, 96, and 98