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Test: Gauss Divergence Theorem - Question 1

Gauss theorem uses which of the following operations?

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Test: Gauss Divergence Theorem - Question 2

Evaluate the surface integral ∫∫ (3x i + 2y j). dS, where S is the sphere given by x^{2} + y^{2} + z^{2}= 9.

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Test: Gauss Divergence Theorem - Question 4

The divergence theorem for a surface consisting of a sphere is computed in which coordinate system?

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Test: Gauss Divergence Theorem - Question 5

Find the Gauss value for a position vector in Cartesian system from the origin to one unit in three dimensions.

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Test: Gauss Divergence Theorem - Question 6

The divergence theorem value for the function x^{2} + y^{2} + z^{2} at a distance of one unit from the origin is

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Test: Gauss Divergence Theorem - Question 7

If a function is described by F = (3x + z, y^{2} − sin x^{2}z, xz + ye^{x5}), then the divergence theorem value in the region 0<x<1, 0<y<3 and 0<z<2 will be

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Test: Gauss Divergence Theorem - Question 8

Find the divergence theorem value for the function given by (e^{z}, sin x, y^{2})

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Test: Gauss Divergence Theorem - Question 9

For a function given by F = 4x i + 7y j +z k, the divergence theorem evaluates to which of the values given, if the surface considered is a cone of radius 1/2π m and height 4π^{2} m.

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Test: Gauss Divergence Theorem - Question 10

Divergence theorem computes to zero for a solenoidal function. State True/False.

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