Let R be the region in the xy plane between the graphs of y=e^x and y=e^-x from x=0 to x=2.
a. Find the volume of the solid generated when R is revolved about the x axis.

Question

Let R be the region in the xy plane between the graphs of y=e^x and y=e^-x from x=0 to x=2.
a. Find the volume of the solid generated when R is revolved about the x axis.

amistre64 · Answer

lol.... your teacher really needs a new problem to hand out ....

amistre64 · Answer

http://openstudy.com/users/amistre64#/updates/4f4ab2fee4b00c3c5d3385c0

amistre64 · Answer

if you still have questions from that, feel free to ask

anonymous · Answer

regina were never gunna get help

amistre64 · Answer

read the material that has already been presented a thousand times on this same quesiton and if you still have questions; then be specific please

anonymous · Answer

what is a washer and shell?

amistre64 · Answer

a washer represents that shape of the area that this thing resemebles; |dw:1330382298488:dw|
when its spun about the axis

amistre64 · Answer

a shell is the type of object you get when you spin it in another fashion; it creates a "can" or "cylindar"

amistre64 · Answer

|dw:1330382370334:dw|
the shell

amistre64 · Answer

each method of spinning has its pros and cons

amistre64 · Answer

|dw:1330382453377:dw|

the washer method is prolly easiest on this for alot of people

you take the area of a circle generated by the spin:  pi R^2

and subtract out the part you dont want: -pi r^2

since our upper and lower functions are what determines our radiuses ...

$$\int pi [f(x)]^2dx-\int pi [g(x)]^2dx$$
or
$$pi \int [f(x)]^2- [g(x)]^2dx$$

are your basic interpretation for your volumes of revolution