(9.1) Suppose that the plane region D, its boundary curve C, and the functions P and Q sat- isfy the hypothesis of Green's Theorem. Considering the vector field F = Pi+Qj, prove the vector form of Green's Theorem O F.n ds div F(z, y) dA where n(t) is the outward unit normal vector to C.

(9.1) Suppose that the plane region D, its boundary curve C, and the functions P and Q sat- isfy the hypothesis of Green's Theorem. Considering the vector field F = Pi+Qj, prove the vector form of Green's Theorem O F.n ds div F(z, y) dA where n(t) is the outward unit normal vector to C.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

(9.1) Suppose that the plane region D, its boundary curve C, and the functions P and Q sat-
isfy the hypothesis of Green's Theorem. Considering the vector field F = Pi + Qj, prove the vector
form of Green's Theorem
= // div F(x, 9) dA
F.n ds
where n(t) is the outward unit normal vector to C.

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