Rewrite each of the following triple integrals in the indicated order. 4-x 12-За-6у (a) / dz dy dx in the order dy dx dz r6-x-y (b) [. dz dy dx in the order dz dx dy

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Rewrite each of the following triple integrals in the indicated order.

(a) \(\int_{0}^{4} \int_{0}^{\frac{4-x}{2}} \int_{0}^{\frac{12-3x-6y}{4}} dz \, dy \, dx\) in the order \(dy \, dx \, dz\).

(b) \(\int_{0}^{3} \int_{0}^{\sqrt{9-x^2}} \int_{0}^{6-x-y} dz \, dy \, dx\) in the order \(dz \, dx \, dy\).
Transcribed Image Text:Rewrite each of the following triple integrals in the indicated order. (a) \(\int_{0}^{4} \int_{0}^{\frac{4-x}{2}} \int_{0}^{\frac{12-3x-6y}{4}} dz \, dy \, dx\) in the order \(dy \, dx \, dz\). (b) \(\int_{0}^{3} \int_{0}^{\sqrt{9-x^2}} \int_{0}^{6-x-y} dz \, dy \, dx\) in the order \(dz \, dx \, dy\).
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