find the integrate(v . dr) of the following case: v = (2xy, x² +2yz, 1+ y²), C is the circle x² + y² = 1, z = 1.

To evaluate the line integral ∫Cv⋅dr, where v=(2xy,x2+2yz,1+y2) and C is the circle x2+y2=1 in the…

Answered: v = (2xy, x² +2yz, 1+ y²), C is the…

Math

Algebra

v = (2xy, x² +2yz, 1+ y²), C is the circle x² + y² = 1, z = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 29E

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Question

find the integrate(v . dr) of the following case:

v = (2xy, x² +2yz, 1+ y²), C is the circle x² + y² = 1, z = 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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