4. A right circular cylinder solid has boundaries z = 10, z = 20, and x² + y² = 16. (a) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using rectangular coordinates with dV = dz dy dx. Ly Ly Sio xyz dzdy dx (don't mind this) I don't know if it is right (b) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using rectangular coordinates with dV = dx dy dz. the solid E using polar (c) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using polar coordinates with dV = r dz dr do. (d) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using polar coordinates with dV = r dr do dz.
4. A right circular cylinder solid has boundaries z = 10, z = 20, and x² + y² = 16. (a) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using rectangular coordinates with dV = dz dy dx. Ly Ly Sio xyz dzdy dx (don't mind this) I don't know if it is right (b) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using rectangular coordinates with dV = dx dy dz. the solid E using polar (c) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using polar coordinates with dV = r dz dr do. (d) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid using polar coordinates with dV = r dr do dz.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:#4. A right circular cylinder solid has boundaries z = 10, z = 20, and x² + y² = 16.
(a) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid
using rectangular coordinates with dv = dz dy dx.
²0
Jy Jay J10 xyz dzdydx
(don't mind this)
I don't know if
it is right
(b) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid
using rectangular coordinates with dV = dx dy dz.
lume of the solid E using
(c) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid
using polar coordinates with dV = r dz dr de.
(d) Set up a triple integral to evaluate the function f(x, y, z) = xyz over this solid
using polar coordinates with dV = r dr do dz.
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