3b) Set up (but do not evaluate) a triple integral that would integrate the function f (x, y, z) = 2z over the tetrahedral region in Space bounded by the planes x 0, y 0, z 0 and x +y+z 5. Draw two sketches, one showing the three-dimensional limits of integration, and one showing the two-dimensional limits of integration.
3b) Set up (but do not evaluate) a triple integral that would integrate the function f (x, y, z) = 2z over the tetrahedral region in Space bounded by the planes x 0, y 0, z 0 and x +y+z 5. Draw two sketches, one showing the three-dimensional limits of integration, and one showing the two-dimensional limits of integration.
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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Solve 3b please
Transcribed Image Text:3a) Evaluate the double integral ff cos(x²) dxdy exactly, where
R:y sxs 1,0 sys2. Draw a picture of the region of integration,
and indicate on your pieture what direction you are integrating.
3b) Set up (but do not evaluate) a triple integral that would integrate the
function f(x, y, z) = 2z over the tetrahedral region in Space bounded by
the planes x 0, y 0, z 0 and x + y+z 5. Draw two sketches,
one showing the three-dimensional limits of integration, and one
showing the two-dimensional limits of integration.
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