Jz-oJy 0 J₂0 The region bounded by z = 10 - x² - y², y = x², x = y², and z = 0. The region bounded by 2 = r² + y² and 2 = z=10-²-2².

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 7E
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Just part D and E. 

F. For the following get the system of three inequalities describing the region then set up an iterated
integral for f f fw f(x, y, z)dV.
a) The region W bounded by the bowl z = z²+y² and the plane z = 4. (Ans: f2²__
b) The region W bounded by z = √² + y² and z = x² + y².
/z²+y²
+ f(x, y, z)dz)dy)da)
(Ans:
c) The region bounded by the planes z = 0, y = 0, z = 0, x+y=4 and z = x + y + 1
(Ans:
1-7² √₂-7² +3².
x+1/rx+y+1
(+3+¹ f(x, y, z)dz)dy)dx)
Jz=0
d) The region bounded by z = 10- x² - y², y = x², x = y², and z = 0.
e) The region bounded by z = z² + y² and z = 10 - 1² - 2y².
(₁²
=1²+y² f(x, y, z
Transcribed Image Text:F. For the following get the system of three inequalities describing the region then set up an iterated integral for f f fw f(x, y, z)dV. a) The region W bounded by the bowl z = z²+y² and the plane z = 4. (Ans: f2²__ b) The region W bounded by z = √² + y² and z = x² + y². /z²+y² + f(x, y, z)dz)dy)da) (Ans: c) The region bounded by the planes z = 0, y = 0, z = 0, x+y=4 and z = x + y + 1 (Ans: 1-7² √₂-7² +3². x+1/rx+y+1 (+3+¹ f(x, y, z)dz)dy)dx) Jz=0 d) The region bounded by z = 10- x² - y², y = x², x = y², and z = 0. e) The region bounded by z = z² + y² and z = 10 - 1² - 2y². (₁² =1²+y² f(x, y, z
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