(1 point) Express the integral II f(z, y, 2) dV as an iterated integral in the three different ways below, where E is the solid bounded by the surfaces y = 36 – 9r² – 42? and y = 0 I. (a, y, 2) dV = " [ (1,4, 2) dy dz dz where a1 =0 Σ Σ Σ bz = Σ Σ II f(z, y, 2) dV = LIT f(z, y, 2) dz dy dz where a1 = az = Σ Σ by Σ by Σ II f(x, y, z) dV TIT f(7, y, 2) dz dz dy where a1 = az = a3 Σ Σ by Σ || || I| || || || || || M M M M M M M M M M M M M M MM M M
(1 point) Express the integral II f(z, y, 2) dV as an iterated integral in the three different ways below, where E is the solid bounded by the surfaces y = 36 – 9r² – 42? and y = 0 I. (a, y, 2) dV = " [ (1,4, 2) dy dz dz where a1 =0 Σ Σ Σ bz = Σ Σ II f(z, y, 2) dV = LIT f(z, y, 2) dz dy dz where a1 = az = Σ Σ by Σ by Σ II f(x, y, z) dV TIT f(7, y, 2) dz dz dy where a1 = az = a3 Σ Σ by Σ || || I| || || || || || M M M M M M M M M M M M M M MM M M
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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Transcribed Image Text:(1 point) Express the integral
II f(z, y, 2) dV as an iterated integral in the three different ways below, where E is the solid bounded by the surfaces y = 36 – 9r² – 42? and y = 0
I. (a, y, 2) dV = " [ (1,4, 2) dy dz dz
where
a1 =0
Σ
Σ
Σ
bz =
Σ
Σ
II f(z, y, 2) dV =
LIT f(z, y, 2) dz dy dz
where
a1 =
az =
Σ
Σ
by
Σ
by
Σ
II f(x, y, z) dV
TIT f(7, y, 2) dz dz dy
where
a1 =
az =
a3
Σ
Σ
by
Σ
||
||
I| || || ||
|| ||
M M M
M M M
M M M M M M
M M MM M M
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