- #1
togo
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Homework Statement
Find the volume generated by revolving the regions bounded by the given curves about the x-axis. Use indicated method in each case.
Question 11: y = x^3, y = 8, x = 0
Question 15: x = 4y - y^2 - 3, x = 0
Homework Equations
for question 11: Shells
for Question 15: Shells
Shells:
2pi int xy dy
The Attempt at a Solution
Question 11:
2pi x(x^3) dy
x^4
1/5x^5 = 1/5(4^5)
= 204.8
*2pi = pi409.6
The answer should be 768/7 pi
Question 15:
I guess the goal here is isolate Y. So far:
y(4y - y^2 - 3) = 4y^2 - y^3 - 3y
4(1/3y^3) - 1/4(y^4) - 3(1/2y^2)
Went back and decided Y needs to be isolated but not confident on if that should be done or how so posted it here.
Thanks