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Chapter 14: Q. 7 (page 1119)
Give a smooth parametrization of the upper half of the unit sphere in terms of x and y.
a
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Find the masses of the lamina:
The lamina occupies the region of the hyperbolic saddle with equation that lies above and/or below the disk of radius 2 about the origin in the XY-plane where the density is uniform.
If the velocity of a flow of a gas at a point (x, y, z) is represented by F and the gas is expanding at that point, what does this imply about the divergence of F at the point?
Suppose that an electric field is given by
Compute the flux of the field through the unit cube .
Consider the vector field . Find a vector field with the property that, for all points in role="math" localid="1650383268941" .
In what way is Stokes鈥� Theorem a generalization of the Fundamental Theorem of Line Integrals?
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