Answer:
1/2
Step-by-step explanation:
See the steps below:)
Answer:
first bring x value together
Step-by-step explanation:
like 2x and 3x together and then take 5/3 to RHS and solve
10,000x5=50,000
100x4=400
3x1=3
Total = 50,403
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:

We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):

Evaluate. Simplify:

Hence:

Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)
15 is equal to 15, 24 is greater than 15 and so is 32, so c, d, and e are correct