Question

Given a circle C of radius 1 centered at (0, 0, 1) on the plane z = 1. (a) Find a parametrization for the circle C. (b) Evaluate the line integral of the vector field F~ (x, y, z) = h-y, x, z^2 i from (1, 0, 1) to (-1, 0, 1), along the circle C, oriented counterclockwise when viewed from above.

Name: given a circle c of radius 1 centered at 0 0 1 on the plane z 1 a find a parametrization to the circle c b evaluate the line integral of the vector field f x y z hy x z2 i from 1 0 1 to 1 0 81446
Uploaded: 2023-08-09T05:56:45-08:00
Duration: 2 min 10 s
Channel: Madhur L
Description: given a circle c of radius 1 centered at 0 0 1 on the plane z 1 a find a parametrization to the circle c b evaluate the line integral of the vector field f x y z hy x z2 i from 1 0 1 to 1 0 81446

          Given a circle C of radius 1 centered at (0, 0, 1) on the plane z = 1. (a) Find a parametrization for the circle C. (b) Evaluate the line integral of the vector field F~ (x, y, z) = h-y, x, z^2 i from (1, 0, 1) to (-1, 0, 1), along the circle C, oriented counterclockwise when viewed from above.

Added by Antonio S.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Solved by Expert Madhur L

08/09/2023

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Given a circle C of radius 1 centered at (0, 0, 1) on the plane z = 1. (a) Find a parametrization for the circle C. (b) Evaluate the line integral of the vector field F~ (x, y, z) = h-y, x, z^2 i from (1, 0, 1) to (-1, 0, 1), along the circle C, oriented counterclockwise when viewed from above.