The answer to the questions of volumes are given as follows
a) 
b) 
c)
d)
Generally, the questions are mathematically solved below

a) x-axis
if $y=4, x=16, x=0$
Using disk method




b) line y=4
if x=0, y=0 ;

Using shell method


![v=2 \pi\left[\frac{4 y^{3}}{3}-\frac{y^{4}}{4}\right]_{0}^{4} \\](https://tex.z-dn.net/?f=v%3D2%20%5Cpi%5Cleft%5B%5Cfrac%7B4%20y%5E%7B3%7D%7D%7B3%7D-%5Cfrac%7By%5E%7B4%7D%7D%7B4%7D%5Cright%5D_%7B0%7D%5E%7B4%7D%20%5C%5C)
![v=\frac{2 \pi}{12}[1024-768] \\](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B2%20%5Cpi%7D%7B12%7D%5B1024-768%5D%20%5C%5C)


c) y-axis
0 ≤ y ≤ 4
x=y^2
Using disk method
volume



d) line x=-1
y=√x, y=4, x=0
0 ≤ x ≤ 6
Using shell method
volume is


![V=2 \pi\left[\frac{x^{3 / 2}}{3 / 2}+\frac{x^{5 / 2}}{5 / 2}\right]_{0}^{16} \\](https://tex.z-dn.net/?f=V%3D2%20%5Cpi%5Cleft%5B%5Cfrac%7Bx%5E%7B3%20%2F%202%7D%7D%7B3%20%2F%202%7D%2B%5Cfrac%7Bx%5E%7B5%20%2F%202%7D%7D%7B5%20%2F%202%7D%5Cright%5D_%7B0%7D%5E%7B16%7D%20%5C%5C)
![V=2 \pi\left[2 / 3 \cdot\left(4^{2}\right)^{3 / 2}+2 / 5\left(4^{2}\right)^{5 / 2}\right] \\](https://tex.z-dn.net/?f=V%3D2%20%5Cpi%5Cleft%5B2%20%2F%203%20%5Ccdot%5Cleft%284%5E%7B2%7D%5Cright%29%5E%7B3%20%2F%202%7D%2B2%20%2F%205%5Cleft%284%5E%7B2%7D%5Cright%29%5E%7B5%20%2F%202%7D%5Cright%5D%20%5C%5C)





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Evaluate 2x − 2 for x = 0, x = 1, and x = 2. Question 1 options: A) −1, 0, 2 B) −1, 1, 2 C) 0, 1, 2 D) 1, 2, 4
mixas84 [53]
The value of x in 2^x - 2 when x = 0, x = 1 and x = 2 are -1, 0 and 2 respectively. option A
<h3>Algebra</h3>
2^x - 2
when x = 0
2^x - 2
= 2^0 - 2
= 1 - 2
= -1
when x = 1
2^x - 2
=2^1 - 2
= 2 - 2
= 0
when x = 2
2^x - 2
= 2^2 - 2
= 4 - 2
= 2
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Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.

100x=112
x=11.2