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Chapter 14: Q 15. (page 1154)
Evaluate the line integral of the given function over the specified curve.
whereand C is the line segment fromto.
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, where Sis the surface given by for and.
Give a formula for a normal vector to the surface S determined by x = f(y, z), where f(y, z) is a function with continuous partial derivatives.
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.
Integrate the given function over the accompanying surface in Exercises 27–34.
, where Sis the portion of the plane with equation whose preimage in the xz plane is the region bounded by the coordinate axes and the lines with equations z = 4 and x = z.
Integrate the given function over the accompanying surface in Exercises 27–34.
, where S is the portion of the cone that lies within the sphere of radius 4 and centered at the origin.
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