Answered: verify stokes` theorem for a vector…

verify stokes` theorem for a vector function F = yi + zj + xk on the surface S (the paraboloid) z = f(x,y) = 1-(x^2 + y^2), z >=0.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

verify stokes` theorem for a vector function F = yi + zj + xk on the surface S (the paraboloid) z = f(x,y) = 1-(x^2 + y^2), z >=0.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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