Answer:
So, the volume V is

Step-by-step explanation:
We have that:

We have the formula:

We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is

We use software to draw the graph.
Answer:
Step-by-step explanation:
Function (1) has been given as,
y = 0.5 + 3x
Table for the points on this function,
x 0 1 2 3 4
y 0.5 3.5 6.5 9.5 12.5


There is a common difference of 3 each successive term of y from the previous term.
Therefore, starting point of the function is (0, 0.5)
There is a linear growth of 3 with the increase in the value of x.
Function (2),
y = 3(0.5)ˣ
x 0 1 2 3 4
y 3 1.5 0.75 0.375 0.1875
Starting point of the function will be (0, 3)
There is a common ratio of 0.5 in each successive term to the previous term.


Function (2) increases exponentially with a common ratio of (0.5) with the increase in x.
Answer:
14
Step-by-step explanation:
f(-2)=3*(-2)-2/-2-2=-8/-4=2
f(-1)=3*(-1)-2/-1-2=-5/-3=5/3
f(0)=3*0-2/0-2=-2/-2=1
2+1+5/3=6+3+5=14
2 out of 6 times or 1 out of 3 times. It is most likely to land on a 2 than the other numbers.