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A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are given by z = y and z = −y for 0≤ ≤ 2 and the ends by x = 0 and x 6, where x, y, and z are in meters. The trough contains a sludge whose density at the point (x, y, z) is 8 = e − 3x kg/m³. - (a) Express the total mass of sludge in the trough in terms of triple integrals. Mass of sludge = Choose one (b) Find the mass M. NOTE: Enter the exact answer, or round to three decimal places. M = =

A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are given by z = y and z = −y for 0≤ ≤ 2 and the ends by x = 0 and x 6, where x, y, and z are in meters. The trough contains a sludge whose density at the point (x, y, z) is 8 = e − 3x kg/m³. - (a) Express the total mass of sludge in the trough in terms of triple integrals. Mass of sludge = Choose one (b) Find the mass M. NOTE: Enter the exact answer, or round to three decimal places. M = =

Advanced Engineering Mathematics
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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A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are given by z = y and z = −y for 0≤ ≤ 2 and the ends by x = 0 and x 6, where x, y, and z are in meters. The trough contains a sludge whose density at the point (x, y, z) is 8 = e − 3x kg/m³. - (a) Express the total mass of sludge in the trough in terms of triple integrals. Mass of sludge = Choose one (b) Find the mass M. NOTE: Enter the exact answer, or round to three decimal places. M = =
Transcribed Image Text:A trough with triangular cross-section lies along the x-axis for 0 ≤ x ≤ 6. The slanted sides are given by z = y and z = −y for 0≤ ≤ 2 and the ends by x = 0 and x 6, where x, y, and z are in meters. The trough contains a sludge whose density at the point (x, y, z) is 8 = e − 3x kg/m³. - (a) Express the total mass of sludge in the trough in terms of triple integrals. Mass of sludge = Choose one (b) Find the mass M. NOTE: Enter the exact answer, or round to three decimal places. M = =
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