Question

Integrals volume question. Please help!

Answer 1

where

Answer 2

Here:

Answer 3

This is some of the work I did on it:

y = |x^5| = 8

R = 2^(3/5)

V = 192

A = 1/2 ab^2, h = ab (a>1)

Answer 4

alright

Answer 5

The work I put up there is correct?

Answer 6

Could you help me with this? No one else seems to be able to!

Answer 7

from your equations above: b = 2 y^1/5
since if you solve for x, x = y^1/5

Area = 1/2*(2y^1/5)*(2ay^1/5) = 2ay^2/5
integrate over y from 0 to 8
\[V = 2a \int\limits_{0}^{8}y^{2/5} dy = 192\]

Answer 8

wait i guess i did something wrong, im getting a=7.3 which apparently is wrong

Answer 9

I went: A = 1/2 a(y^(1/5))^2 = 1/2 ay^(2/5)

Answer 10

this looks similar to what we did last time :)

Answer 11

y = |x^5|