Let W₁ be the solid half-cone bounded by z = √√√x² + y², z = 1 5 and the yz-plane with √x² + y², z = 3 and the xz-plane x ≤ 0, and let Let W₂ be the solid half-cone bounded by z = with y ≤ 0. For each of the following, decide (without calculating its value) whether the integral is positive, negative, or zero. (a) √w₂ √√x² + y² dV is negative (b) √w₂ √√x² + y² dV is positive (c) w₁ x dV is positive

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let W₁ be the solid half-cone bounded by z = √x² + y², z = 5 and the yz-plane with
√x² + y², z = 3 and the xz-plane
x ≤ 0, and let Let W₂ be the solid half-cone bounded by z =
with y ≤ 0.
For each of the following, decide (without calculating its value) whether the integral is positive, negative,
or zero.
(a) /w₂ √√x² + y² dV is
negative
(b) √w₂ √√x² + y² dV is positive
(c) w₁ x dV is positive
Transcribed Image Text:Let W₁ be the solid half-cone bounded by z = √x² + y², z = 5 and the yz-plane with √x² + y², z = 3 and the xz-plane x ≤ 0, and let Let W₂ be the solid half-cone bounded by z = with y ≤ 0. For each of the following, decide (without calculating its value) whether the integral is positive, negative, or zero. (a) /w₂ √√x² + y² dV is negative (b) √w₂ √√x² + y² dV is positive (c) w₁ x dV is positive
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