Answer:
i think 6,300
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's give this a go here. The volume formula for the shell method while rotating about a horizontal line is
![V=2\pi \int\limits^a_b {p(y)h(y)} \, dy](https://tex.z-dn.net/?f=V%3D2%5Cpi%20%5Cint%5Climits%5Ea_b%20%7Bp%28y%29h%28y%29%7D%20%5C%2C%20dy)
where p(y) is the distance from the axis of rotation (the x-axis) to the center of the solid. This is a positive distance and it is just y.
h(y) is the horizontal height of the function. Our function starts at x = 0 and ends at the function itself, so h(y) = 3 + y^2.
In the shell method when rotating about a horizontal line, we need to use x = y equations, and y-intervals. Setting up our integral then:
![V=2\pi \int\limits^3_2 {y(3+y^2)} \, dy](https://tex.z-dn.net/?f=V%3D2%5Cpi%20%5Cint%5Climits%5E3_2%20%7By%283%2By%5E2%29%7D%20%5C%2C%20dy)
We can simplify this a bit by distributing the y into the parenthesis:
![V=2\pi \int\limits^3_2 {3y+y^3} \, dy](https://tex.z-dn.net/?f=V%3D2%5Cpi%20%5Cint%5Climits%5E3_2%20%7B3y%2By%5E3%7D%20%5C%2C%20dy)
Integrating gives us
from 2 to 3
Using the First Fundamental Theorem of Calculus:
which simplifies down to
![V=\frac{95\pi}{2}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B95%5Cpi%7D%7B2%7D)
X + y = 17
x - y = 29
x = 17 - y
x - y = 29
x = 17 - y
17 - y - y = 29
x = 17 - y
17 - 2y = 29
x = 17 - y
- 2y = 29 - 17
x = 17 - y
-2y = 12
x = 17 - y
y = -6
x = 17 - (-6)
y = -6
x = 17 + 6
y = -6
x = 23
y = -6
Answer:
y= -x-9 because you have to find the negative reciprocal of the slope of the original line and then use the point slope formula y-y1=m(x-x1) to find the perpendicular line
Its depends on how many times you score during the game
in second game the number of points increases as a geometric sequence
with common ratio 2
so for example if you score ten times in first game you get 2000 points
if you score 10 times in Game 2 you score 2 * (2^10) - 1 = 2046 points
so playing 10 or more games is best with Game 2. Any less plays favours gane 1.