Question

5. Use Stokes' Theorem to evaluate the line integral ∫C y3 dx + 1 dy + (x + z2) dz, where C is the triangle with vertices (2, 0, 0), (0, 2, 0), and (0, 0, 2), oriented counterclockwise as viewed from above. Then verify Stokes' Theorem by evaluating the line integral directly.

Name: 5 use stokes theorem to evaluate the line integral c y3 dx 1 dy x z2 dz where c is the triangle with vertices 2 0 0 0 2 0 and 0 0 2 oriented counterclockwise as viewed from above then verify 10239
Uploaded: 2023-06-12T07:34:00-08:00
Duration: 2 min 40 s
Channel: Supreeta N
Description: 5 use stokes theorem to evaluate the line integral c y3 dx 1 dy x z2 dz where c is the triangle with vertices 2 0 0 0 2 0 and 0 0 2 oriented counterclockwise as viewed from above then verify 10239

          5.  Use Stokes' Theorem to evaluate the line integral ∫C y3
dx + 1 dy + (x + z2) dz,
where C is the triangle with vertices (2, 0, 0), (0, 2, 0), and
(0, 0, 2), oriented counterclockwise as viewed from above. Then
verify Stokes' Theorem by evaluating the line integral
directly.

Added by Ramon W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

06/12/2023

Step 1

Step 1: Parametrize the curve C The curve C consists of three line segments, which we can parametrize as follows: Show more…

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5. Use Stokes' Theorem to evaluate the line integral ∫C y3 dx + 1 dy + (x + z2) dz, where C is the triangle with vertices (2, 0, 0), (0, 2, 0), and (0, 0, 2), oriented counterclockwise as viewed from above. Then verify Stokes' Theorem by evaluating the line integral directly.