2. Evaluate F.ndS for the given F and o. (a F(x, y, z) = i+j+ k, o: the part of the surface of the cone z = x² + y² from z = 0 to z = 1. (b F(x, y, z) = yz j+z² k, o: the surface of y2 + z2 = 1, z > 0 from x = 0 to x = 1.

2. Evaluate F.ndS for the given F and o. (a F(x, y, z) = i+j+ k, o: the part of the surface of the cone z = x² + y² from z = 0 to z = 1. (b F(x, y, z) = yz j+z² k, o: the surface of y2 + z2 = 1, z > 0 from x = 0 to x = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 33E

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Question

line integral

2. Evaluate
F.ndS for the given F and o.
(a
F(x, y, z) = i +j+ k,
o : the part of the surface of the cone z =
x² + y² from z = 0 to z = 1.
(b
F(x, y, z) = yz j+z² k,
o: the surface of y2 + z2 = 1, z > 0 from x = 0 to x = 1.

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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