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6. Consider the solid cylinder E: x² + y² ≤ 1 and 1 ≤Z≤3 and let S₁ = JE be its outward oriented surface. In addition, let F(x, y, z) = (x2 + y² + z4+12, yz + sin ¹0 (x +23), In (x² + y² + 997). Compute the Slux integral SSS₁ F.ds (Sketch the cylinder as well)

6. Consider the solid cylinder E: x² + y² ≤ 1 and 1 ≤Z≤3 and let S₁ = JE be its outward oriented surface. In addition, let F(x, y, z) = (x2 + y² + z4+12, yz + sin ¹0 (x +23), In (x² + y² + 997). Compute the Slux integral SSS₁ F.ds (Sketch the cylinder as well)

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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6. Consider the solid cylinder E:x² + y² ≤ 1 and 1 ≤ Z ≤3 and let S₁₂ = dE be its outward oriented surface. In addition, let F(x, y, z) = (x2 + √√√²+ z 4 +12, yz + sin ¹0 (x +2²), In (x² + y² +992). Compute the Slux integral SS₂ F•ds (Sketch the cylinder, as well) S1
Transcribed Image Text:6. Consider the solid cylinder E:x² + y² ≤ 1 and 1 ≤ Z ≤3 and let S₁₂ = dE be its outward oriented surface. In addition, let F(x, y, z) = (x2 + √√√²+ z 4 +12, yz + sin ¹0 (x +2²), In (x² + y² +992). Compute the Slux integral SS₂ F•ds (Sketch the cylinder, as well) S1
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