Question

Find the exact volume

Answer 1

Greetings

Answer 2

The answer to your question is, "Yes."

Answer 3

R is bounded above by y=x^2+1 and below by the x axis
and by the lines x=1 and 4
Region R is revolved around the y axis

Answer 4

Alright, washer method I take it?

Answer 5

The answer wld be yes

Answer 6

\[2\pi\int_{1}^{4}(x^2+1)xdx\]I think...

Answer 7

Turing's got it.

Answer 8

why is it 2 times @turing?

Answer 9

shell method

Answer 10

Because 2piR is the circumference hence the length of the rectangular slice

Answer 11

each shell is area 2pirh=2xf(x)

Answer 12

oh is it called "shell" method? my bad

Answer 13

gotta digest this one

Answer 14

it'll help to try to draw a picture, but it's hard on this site...

Answer 15

Yeah, I wish I had an electronic writing pad or something. Maybe that'll be my next computer.

Answer 16

ummm R u sure u use the shell method? Dont we use the washer method?

Answer 17

The washer method would be ugly. We could do it though, I think, if we inverted the equation.

Answer 18

here's our function f
if we try to use washer we would have to change it in terms of y and do 'washer method' from .,... yeah what badref said