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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 11E
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#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.
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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