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Chapter 14: Q. 6 (page 1095)
What are the outputs of a vector field in ?
The outputs of a vector field in is is a three-dimensional vector.
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Why do surface integrals of multivariate functions not include an n term, whereas surface integrals of vector fields do include this term?
Find the area of S is the portion of the plane with equation y−z =
that lies above the rectangle determined by 0 ≤ x ≤ 4 and 3 ≤ y ≤ 6.
S is the portion of the saddle surface determined by z = x2 − y2 that lies above and/or below the annulus in the xy-plane determined by the circles with radii
and centered at the origin.
Give a formula for a normal vector to the surface S determined by y = g(x,z), where g(x,z) is a function with continuous partial derivatives.
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