Let g be the function f: R³ → R, and let C denote the region f(x, y, z) = 2 625 x+y - - (x + y), C = {(x, y, z) = R³|-(5-z) ≤ x ≤ (5-z), (5-z) ≤ y ≤ (5-z), 0≤z ≤ 5}. (a) Sketch the region C.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Can you please help me sketch the reigon in part a, thank you

Let
9
be the function
f: R³ → R,
and let C denote the region
2
625
x+y
f(x, y, z) eu (x+y),
-
C= {(x, y, z) e R³ | −(5 – z) ≤x≤ (5 - z), – (5-z) ≤ y ≤ (5 - z), 0 ≤ z ≤ 5}.
(a) Sketch the region C.
(b) Compute the triple integral
Sff fav.
C
Transcribed Image Text:Let 9 be the function f: R³ → R, and let C denote the region 2 625 x+y f(x, y, z) eu (x+y), - C= {(x, y, z) e R³ | −(5 – z) ≤x≤ (5 - z), – (5-z) ≤ y ≤ (5 - z), 0 ≤ z ≤ 5}. (a) Sketch the region C. (b) Compute the triple integral Sff fav. C
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