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-y Consider the vector field F = (y²¹, ²²), and the curve defined by 1% + 2 + 2 = 2 and z = c. Calculate the work done by the force F to move a particle along the curve C: i) Calculate without using Stokes’ Theorem. ii) Calculate using Stokes' Theorem.

-y Consider the vector field F = (y²¹, ²²), and the curve defined by 1% + 2 + 2 = 2 and z = c. Calculate the work done by the force F to move a particle along the curve C: i) Calculate without using Stokes’ Theorem. ii) Calculate using Stokes' Theorem.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 30E
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Consider the vector field F = (²,²²), and the curve defined by x²+y²› z² ++ = 2 and z = c . Calculate the work done by the force F to move a C² particle along the curve C: % i) Calculate without using Stokes' Theorem. ii) Calculate using Stokes' Theorem.
Transcribed Image Text:Consider the vector field F = (²,²²), and the curve defined by x²+y²› z² ++ = 2 and z = c . Calculate the work done by the force F to move a C² particle along the curve C: % i) Calculate without using Stokes' Theorem. ii) Calculate using Stokes' Theorem.
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