//₁ F. ds, where F(x, y, z) = (-6x³ + 2yz) i + (-6y³ + sin¹ (3xz)) j+ (2z+cos (3x²y²)) k and SisSthe outward-oriented surface of the solid E, which is the right hemisphere bounded by x² + y² + z² = 64 and the plane2x = 0.CalculateEnter an exact answer.Provide your answer below:JfF.dS=

Given F(x,y,z)=-6x3+2yzi^+-6y3+sin-13xzj^+2z+cos3x2y2k^ and S is the outward-oriented surface of the…

Answered: Calculate :/ F. ds, where F (x, y, z) =…

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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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.