Answer:
About the x axis
About the y axis
About the line y=8
About the line x=2
Step-by-step explanation:
For this case we have the following functions:
About the x axis
Our zone of interest is on the figure attached, we see that the limit son x are from 0 to 2 and on y from 0 to 8.
We can find the area like this:
And we can find the volume with this formula:
About the y axis
For this case we need to find the function in terms of x like this:
but on this case we are just interested on the + part as we can see on the second figure attached.
We can find the area like this:
And we can find the volume with this formula:
About the line y=8
The figure 3 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
About the line x=2
The figure 4 attached show the radius. We can find the area like this:
And we can find the volume with this formula:
The value of r is -24
Step-by-step explanation:
Given points are:
(1,r) and (5,-4)
Let the points be:
(x1,y1) = (1,r)
(x2,y2) = (5,-4)
m = 5
The slope is given by:
Hence,
The value of r is -24
Keywords: Slope, coordinates
Learn more about slope at:
#LearnwithBrainly
Answer: 6
explanation:
set up proportions
(4+2)/9 = 4/x
6/9 = 4/x
simplify
2/3 = 4/x
cross multiply
2x = 12
divide
x = 6
Answer:
1/16
Step-by-step explanation:
Find the common denominator between 3/4, 1/8, and 1/16. 3/4 and 1/8 denominator can be 16. Then we have to make their denominator the same so multiply 3/4 with 4/4 and multiply 1/8 with 2/2:
3/4 + 1/8 + 1/16 = 12/16 + 2/16 + 1/16 = 15/16
now canola oil is the only thing left to find so that means:
16/16 - 15/16 = 1/16
Answer:
P(t)=25000(1.12)^t
Step-by-step explanation:
If we start with the initial population size, 25,000 people, and keep multiplying by 1.12 this function gives us the population of Madison t years from now: P(t)=25000(1.12)^t