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
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:
We can simplify this a bit by distributing the y into the parenthesis:
Integrating gives us
from 2 to 3
Using the First Fundamental Theorem of Calculus:
![V=2\pi[\frac{135}{4}-\frac{40}{4}]](https://tex.z-dn.net/?f=V%3D2%5Cpi%5B%5Cfrac%7B135%7D%7B4%7D-%5Cfrac%7B40%7D%7B4%7D%5D)
which simplifies down to
Answer:
x=-y-3
Step-by-step explanation:
hope to get a brainliest thank u
Answer:
A is (20, -35)
B is (-15, 45)
Step-by-step explanation:
Hope this helps you out :)
Have a great day
-Kendra <3
The discriminant explains how many solutions the quadratic function has. It is found using this formula:
Using the formula, there are three rules. Let's say the discriminant=d:
d<0 - No solution ø
d=0 -ONLY 1 solution
d>0 -2 solutions
In the following graph, there are no solutions as the graph does not hit the x-axis at any point.
Thereafter, the discriminant MUST be less than zero. Let's view the options check which one agrees with our answer.
A - Discriminant is greater than 0, which means two solutions. This is WRONG.
B - Discriminant is less than 0, which means no solutions. CORRECT!C- Discriminant is equal to 0, which means one solution. WRONG!
Your answer is B.
Answer: m=4
Step-by-step explanation:
To find the slope, we use the formula 
. We can use the two points to find the slope. The points on the graph are (-2,1) and (-3,-3).
