Suppose Σ is the portion of the plane z = 16 - 2x - y inside the cylinder x² + y² = 4. The surface Σ is submerged in an electric field such that at any point the electric charge density is f(x, y, z) = xz + y². Find the total amount of electric charge on the surface and assign the result to q6.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
Problem 11ECP
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Suppose Σ is the portion of the plane z = 16 - 2x - y inside the cylinder x² + y² = 4. The surface Σ is submerged in an electric field such that at any point
the electric charge density is f(x, y, z) = xz + y². Find the total amount of electric charge on the surface and assign the result to q6.
Transcribed Image Text:Suppose Σ is the portion of the plane z = 16 - 2x - y inside the cylinder x² + y² = 4. The surface Σ is submerged in an electric field such that at any point the electric charge density is f(x, y, z) = xz + y². Find the total amount of electric charge on the surface and assign the result to q6.
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