Concept explainers
Compound surface and boundary Begin with the paraboloid z = x2 + y2, for 0 ≤ z ≤ 4, and slice it with the plane y = 0. Let S be the surface that remains for y ≥ 0 (including the planar surface in the xz–plane) (see figure). Let C be the semicircle and line segment that bound the cap of .S in the plane z = 4 with counterclockwise orientation. Let F = 〈2z + y, 2x + z, 2y + x〉.
a. Describe the direction of the
b. Evaluate
c. Evaluate
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Calculus: Early Transcendentals (2nd Edition)
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