To choose: The appropriate option for the statement “Let F ( x , y , z ) = P i + Q j + R k have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C . By Stokes theorem, ∫ C F ⋅ d r = ”.

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Answer 1

Question

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

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Answer 2

Question

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

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Answer 3

Question

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

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Answer 4

Question

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

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Answer 5

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

Answer 6

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

Answer 7

Chapter 16.8, Problem 1PT

To determine

To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 16.1 - For F(x,y)=(x+y)i+(2x4y)j, which vector, a, b, c,...Ch. 16.1 - Prob. 2PT Ch. 16.1 - Prob. 3PT Ch. 16.1 - True or False: F(x,y)=2yi+2xj is conservative.Ch. 16.2 - A definite integral for C(x+y)ds, where C is the...Ch. 16.2 - True or False: The curve at the right appears to...Ch. 16.2 - A definite integral for CFdr, where F(x,y)=x2i+y2j...Ch. 16.2 - Prob. 4PT Ch. 16.2 - Prob. 5PT Ch. 16.3 - Prob. 1PT

To choose: The appropriate option for the statement “Let F ( x , y , z ) = P i + Q j + R k have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C . By Stokes theorem, ∫ C F ⋅ d r = ”.

Solution Summary: The author explains the Stokes theorem: Let S be smooth, connected, positively oriented surface bounded by a simple closed curve C.

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To choose: The appropriate option for the statement “Let F(x,y,z)=Pi+Qj+Rk have continuous first partial derivatives and S be a smooth, simple, connected and positively oriented surface bounded by a simple closed curve C. By Stokes theorem, ∫CF⋅dr=”.

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Chapter 16 Solutions