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5
questions
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set up triple integral for volume
I was working on practice problems in the textbook and got stuck on this question. Any help would be greatly appreciated.
Set up two triple integrals with two different orders of integration that ...
- 21
0
votes
2
answers
965
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Gauss Law Surface Integral Problem
I have a problem such as:
Find the net charge contained in a solid hemisphere $x^2 + y^2 + z^2 \le 64$, where $z \ge 0$ if the electric field is $E=[5x, 5y, 5z]$
I know from my sources that this is ...
- 575
0
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2
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689
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Double Integral Application with Disks
I have to find the average value of a function $f(x, y) = x + y + x^2 + y^2$
over the disk $0 \le x^2 + y^2 \le 4$, and I am certain this is a double integral problem but I am unsure of the limits ...
- 575
1
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0
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58
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Prove that if $V=\text{constant}$ then the second part in the paratheses after the integral sign is equal to $0$
$$\frac{\mathrm d}{\mathrm dt^i} \underset{\large V(t)}{\iiint} \Psi \,\mathrm dV= \underset{\large V(t)}{\iiint} \left({\frac{\partial \Psi}{\partial t}+\nabla\cdot\Psi\mathbf v_i}\right)\, \mathrm ...
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Volume enclosed by two spheres (triple integral, cylindrical coordinates)
The question:
Find the volume of the solid enclosed by the sphere $x^2 + y^2 + z^2 -
6z = 0$ , and the hemisphere $x^2 + y^2 + z^2 = 49 , z ≥ 0$
I set up the triple integral
$\int_0^{2\pi}\...
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