Question

8. Use Green's theorem to evaluate the line integral $$I = \oint_C y^2 dx + 3xy^2 dy,$$ around the closed curve C consisting of the boundary of the triangle with vertices given in the following order (0,0) to (2,0) to (1,1) and back to (0,0). Answer:

Name: 8 use greens theorem to evaluate the line integral i ointc y2 dx 3xy2 dy around the closed curve c consisting of the boundary of the triangle with vertices given in the following order 00 t 45448
Uploaded: 2020-10-19T17:14:43-08:00
Duration: 52 s
Channel: Joseph Liao
Description: 8 use greens theorem to evaluate the line integral i ointc y2 dx 3xy2 dy around the closed curve c consisting of the boundary of the triangle with vertices given in the following order 00 t 45448

          8. Use Green's theorem to evaluate the line integral
$$I = \oint_C y^2 dx + 3xy^2 dy,$$
around the closed curve C consisting of the boundary of the triangle with vertices given in the following order (0,0) to (2,0) to (1,1) and back to (0,0).
Answer:

8 use greens theorem to evaluate the line integral i ointc y2 dx 3xy2 dy around the closed curve c consisting of the boundary of the triangle with vertices given in the following order 00 t 45448

Added by Kayla C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Joseph Liao

10/19/2020

Step 1

Green's Theorem states that for a positively oriented, piecewise smooth, simple closed curve C and a region D bounded by C, if P and Q have continuous partial derivatives on an open region containing D, then: $$\oint_C P \,dx + Q \,dy = \iint_D Show more…

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8. Use Green's theorem to evaluate the line integral $$I = \oint_C y^2 dx + 3xy^2 dy,$$ around the closed curve C consisting of the boundary of the triangle with vertices given in the following order (0,0) to (2,0) to (1,1) and back to (0,0). Answer: