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Tagged with bounds-of-integration spherical-coordinates
4
questions
2
votes
2
answers
226
views
Volume bounded between sphere and three planes
I found a question in my homework that I have been trying to solve for days with minimal progress. We're given a sphere of form $x^2+y^2+z^2=9$ and three planes, $x=1,y=1,z=1$
The sphere in question:
...
- 33
2
votes
1
answer
115
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How to find the bounds of the volume integral $\int_\Omega (6xz + 2y +3z^2) \, \text{d} \tilde{x}$?
I'm studying on integrating over volumes and I don't know how to set the bounds in this exercise:
Let $\Omega := \left\{ (x,y,z) \in \mathbb{R}^3 \,\big| \,\frac{x^2}{4} + y^2 + \frac{z^2}{9} <1 \...
- 195
0
votes
2
answers
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Triple Integral Setting up bounds for region over a cone and sphere
I am calculating the triple integral:
$$
\iiint\limits_{D} (z^2 + z)\ dV
$$
Where D is $x^2+y^2+z^2≤4$ and $z^2≤x^2+y^2$
I understand that the first part D is the space inside or on the ...
0
votes
1
answer
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How to find bounds for $\phi$ in spherical coordinates with a cone
I have a sphere and a cone making up a region.
Sphere $x^{2}+y^{2}+z^{2}= a^{2}$
Cone $z=c \sqrt{x^{2}+y^{2}}$
Where $c$ and $a$ are positive constants.
I need to find the integral of $x^{2}+y^{2}...