5. Use the divergence theorem to evaluate ffs Finds, when F = y²xi + x²yj + z²k, and when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and by the planes z= 0 and z= = 2.
5. Use the divergence theorem to evaluate ffs Finds, when F = y²xi + x²yj + z²k, and when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and by the planes z= 0 and z= = 2.
5. Use the divergence theorem to evaluate ffs Finds, when F = y²xi + x²yj + z²k, and when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and by the planes z= 0 and z= = 2.
Please show steps and how you found the bounds of each integral
Transcribed Image Text:5. Use the divergence theorem to evaluate ffs F-n dS, when F = y²xi + x²yj + z²k, and
when S is the complete surface of the region bounded by the cylinder x² + y² = 4 and
by the planes z = 0 and z = 2.
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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