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Calculate :/ F. ds, where F (x, y, z) = (-6x³ + 2yz)i + (-6y³ + sin¯¹ (3xz)) j+ (2z+cos (3x²y²)) k and Sis the outward-oriented surface of the solid E, which is the right hemisphere bounded by x² + y² + z² = 64 and the plane x = 0. Enter an exact answer.

Calculate :/ F. ds, where F (x, y, z) = (-6x³ + 2yz)i + (-6y³ + sin¯¹ (3xz)) j+ (2z+cos (3x²y²)) k and Sis the outward-oriented surface of the solid E, which is the right hemisphere bounded by x² + y² + z² = 64 and the plane x = 0. Enter an exact answer.

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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//₁ F. ds, where F(x, y, z) = (-6x³ + 2yz) i + (-6y³ + sin¹ (3xz)) j+ (2z+cos (3x²y²)) k and Sis S the outward-oriented surface of the solid E, which is the right hemisphere bounded by x² + y² + z² = 64 and the plane 2 x = 0. Calculate Enter an exact answer. Provide your answer below: JfF.dS=
Transcribed Image Text://₁ F. ds, where F(x, y, z) = (-6x³ + 2yz) i + (-6y³ + sin¹ (3xz)) j+ (2z+cos (3x²y²)) k and Sis S the outward-oriented surface of the solid E, which is the right hemisphere bounded by x² + y² + z² = 64 and the plane 2 x = 0. Calculate Enter an exact answer. Provide your answer below: JfF.dS=
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