Rewrite each of the following triple integrals in the indicated order. 12—Зт—6у 4 (a) dz dy dx in the order dy dx dz -3 9–x² r6-x-y (b) dz dy dx in the order dz dx dy
Rewrite each of the following triple integrals in the indicated order. 12—Зт—6у 4 (a) dz dy dx in the order dy dx dz -3 9–x² r6-x-y (b) dz dy dx in the order dz dx dy
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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![Rewrite each of the following triple integrals in the indicated order.
(a) Reorder the integral \[
\int_{0}^{4} \int_{0}^{\frac{4-x}{2}} \int_{0}^{\frac{12-3x-6y}{4}} dz \, dy \, dx
\]
to the order \(dy \, dx \, dz\).
(b) Reorder the integral \[
\int_{0}^{3} \int_{0}^{\sqrt{9-x^2}} \int_{0}^{6-x-y} dz \, dy \, dx
\]
to the order \(dz \, dx \, dy\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0fd531f0-250f-490d-993a-3449a32c15bc%2F60e73d04-6578-42df-a9f0-434699e8ed53%2Fno86vmh_processed.png&w=3840&q=75)
Transcribed Image Text:Rewrite each of the following triple integrals in the indicated order.
(a) Reorder the integral \[
\int_{0}^{4} \int_{0}^{\frac{4-x}{2}} \int_{0}^{\frac{12-3x-6y}{4}} dz \, dy \, dx
\]
to the order \(dy \, dx \, dz\).
(b) Reorder the integral \[
\int_{0}^{3} \int_{0}^{\sqrt{9-x^2}} \int_{0}^{6-x-y} dz \, dy \, dx
\]
to the order \(dz \, dx \, dy\).
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