Answer:
The integral of the volume is:

The result is: 
Step-by-step explanation:
Given
Curve: 
About line
--- Missing information
Required
Set up an integral for the volume

Make x^2 the subject

Square both sides

Factor out 4

Split



Split

Rotate about x = 2 implies that:

So:



Using washer method along the y-axis i.e. integral from 0 to 1.
We have:

Substitute values for r1 and r2

Evaluate the squares

Remove brackets and collect like terms


Rewrite as:


Using the calculator:

So:




Take:


--- approximated
16-6=10
2.5x=10
Divide by 2.5
X=4
So Corey can make 4 batches of cookies
Answer:
The wide of the walkway is 5ft.
Step-by-step explanation:
In first place you have a rectangular garden of 30ft by 40 ft as shown in Figure 1 (Added file).
So, the area of this rectangle is:

Area=1200ft
Now, the new garden has a walkway of uniform width around it, and the area of the new rectangle is one-half the area of the old garden

In order to be a walkway of uniform width it's necessary to substract of each side the same amount, for this case will be 5 ft, as shown in the Figure 2. Now the new rectangule is 20ft by 30ft.

Which is exactly one-half the area of the old garden.
This means the width of the walkway is 5ft.
Answer:
80 degrees Fahrenheit is equal to 26.67 degrees Celsius.