y? +x = 2, 2r + 3y +3: 6, = 0, y=0, 2=0 TOke the surfaes and obtam valmes fo X, Y and z qnd compore to The XZ projection of the solid is compound by two regions R1 and R2 , those regions are determined by the points (x,2): A) R :0
y? +x = 2, 2r + 3y +3: 6, = 0, y=0, 2=0 TOke the surfaes and obtam valmes fo X, Y and z qnd compore to The XZ projection of the solid is compound by two regions R1 and R2 , those regions are determined by the points (x,2): A) R :0
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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Question
Transcribed Image Text:Consider the solid in the first octant, limited by the surfaces
y² + x=2, 2x+3y +3z=6₁ x = 0, y = 0, z=0
The XZ projection of the solid is compound by two regions R1
and R2, those regions are determined by the points (x,z):
Take the
surfaces and
obtain values Por
X, Y and Z and
compare to
y R₂:0≤x≤2A2-3-√√2-x≤x≤2-
R₂:0≤x≤2 A √2-x≤²≤2-²/3
y R₂:0≤x≤2^2- +√2-x≤z≤2-²
A) R₁ :0≤x≤2A0≤ ≤2-2-√√2-x
B) R₁ :0≤x≤ 2 A 0 ≤ ≤ √√2-x y
C) R₁ :0≤x≤2/0≤2≤2-2+√2-x
D) R₁:0≤x≤ 2 A 0≤ ≤-√2-x y R₂:0≤x≤2A-√2-x≤x≤2-²/3
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