Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral: ∮ C 5 y d x + 2 x d y , where C is triangle with vertices ( − 1 , 0 ) , ( 1 , 0 ) and ( 0 , 1 )

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Answer 1

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Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

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A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if x=0 31-tan x +31-cot x if 0 < x < π/2 Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0. a= b= 3

Use the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = (x + 4x4) 5, a = -1 lim f(x) X--1 = lim x+4x X--1 lim X-1 4 x+4x 5 ))" 5 )) by the power law by the sum law lim (x) + lim X--1 4 4x X-1 -(0,00+( Find f(-1). f(-1)=243 lim (x) + -1 +4 35 4 ([ ) lim (x4) 5 x-1 Thus, by the definition of continuity, f is continuous at a = -1. by the multiple constant law by the direct substitution property

1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.

Answer 2

Question

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

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Answer 3

Question

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

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Answer 4

Question

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

Expert Solution & Answer

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Answer 5

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

Answer 6

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

Answer 7

Chapter 17.1, Problem 5E

To determine

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

Answer 8

Expert Solution & Answer

Answer 9

Expert Solution & Answer

Answer 10

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Answer 11

Ch. 17.1 - Prob. 1PQ Ch. 17.1 - Prob. 2PQ Ch. 17.1 - Prob. 3PQ Ch. 17.1 - Prob. 4PQ Ch. 17.1 - Prob. 5PQ Ch. 17.1 - Prob. 1E Ch. 17.1 - Prob. 2E Ch. 17.1 - Prob. 3E Ch. 17.1 - Prob. 4E Ch. 17.1 - Prob. 5E

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral: ∮ C 5 y d x + 2 x d y , where C is triangle with vertices ( − 1 , 0 ) , ( 1 , 0 ) and ( 0 , 1 )

Solution Summary: The author explains how to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of the interval.

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Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

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Chapter 17 Solutions

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral: ∮ C 5 y d x + 2 x d y , where C is triangle with vertices ( − 1 , 0 ) , ( 1 , 0 ) and ( 0 , 1 )

Solution Summary: The author explains how to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of the interval.

Concept explainers

Videos

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral: ∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)

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Chapter 17 Solutions

Use Green’s Theorem to evaluate the line integral and orient the curve counterclockwise unless otherwise indicated of given integral:

∮C5ydx+2xdy, where C is triangle with vertices (−1,0), (1,0) and (0,1)