Integrate F = -(ysinz)i + (xsinz)j + (xycosz)k around thecircle cut from the sphere x2 + y 2 + z 2 = 5 and by the plane z = -1, clockwise asviewed from above

Question

Integrate F = -(ysinz)i + (xsinz)j + (xycosz)k around thecircle cut from the sphere x2 + y 2 + z 2 = 5 and by the plane z = -1, clockwise asviewed from above
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Solution 1

To solve this problem, we will use the Stokes' Theorem which states that the line integral of a vector field around a simple closed curve C is equal to the surface integral of the curl of the vector field over the surface bounded by C.

First, we need to calculate the curl of F. The curl of a vector Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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