Triple Integral: Volume Between Y=1-X & Y=Z^2-1

killersanta
Messages
63
Reaction score
0

Homework Statement


Volume between Y=1-X and Y = Z^2 -1

The Attempt at a Solution



http://img254.imageshack.us/img254/1743/42932830.jpg

Uploaded with ImageShack.us

Sorry, not a good drawer.

0 < y < 1
0< x < SqRoot: 1-y

-1 < y < 0
0 < Z < Sqroot: 1 + y

I'm not even sure if this is right, we just started the triple integrals. Please Help.
 
Last edited by a moderator:
Physics news on Phys.org
The problem is that the plane y= 1- x and the parbolic cylinder [math]y= z^2- 1[/math] are not boundaries for a bounded region.
 
So there is not enough information?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

The volume of a "spherical cap" using triple integrals
Replies
9
Views
1K
Triple Integral To Find Volume Between Cylinder And Sphere
Replies
2
Views
2K
Volume integral of x^2 + (y-2)^2 +z^2 = 4 where x , y , z > 0
Replies
21
Views
3K
Volume between a region (above x-axis and below parabola) and a surface
Replies
4
Views
2K
Proof given ##x < y < z## and a twice differentiable function
Replies
8
Views
1K
Triple Integral of y^2z^2 over a Paraboloid: Polar Coordinates Method
Replies
6
Views
2K
Calculus ## G(y, z)=z\frac{\partial}{\partial z}F(y, z)-F(y, z) ##?
Replies
6
Views
2K
Find the constrained maxima and minima of ##f(x,y,z)=x+y^2+2z##
Replies
2
Views
1K
Volume of Static Solid Using Cross-Sectional Area (Integration)
Replies
2
Views
969
Cylindrical Coordinates Triple Integral -- stuck in one place
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top