In this lesson, we will learn how to use the divergence theorem to find the flux of a vector field over a surface by transforming the surface integral to a triple integral.

Q1:

Which of the following is true about the divergence theorem?

Q2:

Use the divergence theorem to find the outward flux of Fijk=π¦+π₯βπ§ across the boundary of the region π·: the solid cylinder π₯+π¦β€4ο¨ο¨ between the plane π§=0 and the paraboloid π§=π₯+π¦ο¨ο¨.

Q3:

Find the flux of the vector field Fijk(π₯,π¦,π§)=π§+π¦+π₯ over the sphere π₯+π¦+π§=1ο¨ο¨ο¨.

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