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Questions and Answers
What is the gradient of the scalar function $f(x, y, z) = 3x^2 + 2yz$?
What does the divergence of the vector field $F = (3x^2, 2y, z^2)$ evaluate to?
What is the curl of the vector field $G = (xy, 2z, x^2)$?
What is the formula for the gradient of a scalar function?
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How is the divergence of a vector function defined?
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State the formula for the curl of a vector function.
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What is the Gauss Divergence Theorem and how is it applied?
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How are line integrals, surface integrals, and volume integrals related in vector calculus?
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