1![Classroom Voting Questions: Multivariable Calculus 18.4 Path-Dependent Vector Fields and Green’s Theorem 1. What will guarantee that F~ (x, y) = yˆi + g(x, y)ˆj is not a gradient vector field? (a) g(x, y) is a functi Classroom Voting Questions: Multivariable Calculus 18.4 Path-Dependent Vector Fields and Green’s Theorem 1. What will guarantee that F~ (x, y) = yˆi + g(x, y)ˆj is not a gradient vector field? (a) g(x, y) is a functi](https://www.pdfsearch.io/img/bcfe31a9eb614984da51114132335f02.jpg) | Add to Reading ListSource URL: mathquest.carroll.eduLanguage: English - Date: 2016-05-26 12:40:54
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2![Classroom Voting Questions: Multivariable Calculus 19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1. The flux of the vector field F~ = 4ˆ ρ through a sphere of radius 2 centered on the origin is: Classroom Voting Questions: Multivariable Calculus 19.2 Flux Integrals For Graphs, Cylinders, and Spheres 1. The flux of the vector field F~ = 4ˆ ρ through a sphere of radius 2 centered on the origin is:](https://www.pdfsearch.io/img/3b08375f5ec63c5aa209df959c419975.jpg) | Add to Reading ListSource URL: mathquest.carroll.eduLanguage: English - Date: 2016-05-26 12:40:54
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3![Classroom Voting Questions: Multivariable Calculus 20.1 The Divergence of a Vector Field 1. Moving from the picture on the left to the picture on the right, what are the signs of ∇ · F~ ? Classroom Voting Questions: Multivariable Calculus 20.1 The Divergence of a Vector Field 1. Moving from the picture on the left to the picture on the right, what are the signs of ∇ · F~ ?](https://www.pdfsearch.io/img/5dbe04927fe8298e7dcce5377a4cd0e3.jpg) | Add to Reading ListSource URL: mathquest.carroll.eduLanguage: English - Date: 2016-05-26 12:40:54
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4![Classroom Voting Questions: Multivariable Calculus 18.3 Gradient Fields and Path-Independent Fields 1. The vector field shown is the gradient vector field of f (x, y). Which of the following are equal to f (1, 1)? Classroom Voting Questions: Multivariable Calculus 18.3 Gradient Fields and Path-Independent Fields 1. The vector field shown is the gradient vector field of f (x, y). Which of the following are equal to f (1, 1)?](https://www.pdfsearch.io/img/92fce6582a1e9762c01c2e08b8c063e2.jpg) | Add to Reading ListSource URL: mathquest.carroll.eduLanguage: English - Date: 2016-05-26 12:40:54
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5![Classroom Voting Questions: Multivariable Calculus 20.2 The Divergence Theorem 1. Given a small cube resting on the xy plane with corners at (0, 0, 0), (a, 0, 0), (a, a, 0), and (0, a, 0), which vector field will produce Classroom Voting Questions: Multivariable Calculus 20.2 The Divergence Theorem 1. Given a small cube resting on the xy plane with corners at (0, 0, 0), (a, 0, 0), (a, a, 0), and (0, a, 0), which vector field will produce](https://www.pdfsearch.io/img/dd012d506fec16b5a95a0d175d1cfe61.jpg) | Add to Reading ListSource URL: mathquest.carroll.eduLanguage: English - Date: 2016-05-26 12:40:54
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6![Vector Calculus 20E, Spring 2012, Lecture B, Midterm 2 Fifty minutes, four problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl Vector Calculus 20E, Spring 2012, Lecture B, Midterm 2 Fifty minutes, four problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl](https://www.pdfsearch.io/img/44682671d73a22003cef25fd2bdaf598.jpg) | Add to Reading ListSource URL: www.math.ucsd.edu- Date: 2017-12-04 14:42:36
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7![E3 - Vector Calculus 20E.pdf E3 - Vector Calculus 20E.pdf](https://www.pdfsearch.io/img/24226a7d79a82d09557291d761d0528b.jpg) | Add to Reading ListSource URL: www.math.ucsd.edu- Date: 2017-12-04 14:46:59
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8![Vector Calculus 20E, Spring 2012, Lecture B, Final exam Three hours, eight problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl Vector Calculus 20E, Spring 2012, Lecture B, Final exam Three hours, eight problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl](https://www.pdfsearch.io/img/210facaf27b18d1282374d59fc395abb.jpg) | Add to Reading ListSource URL: www.math.ucsd.edu- Date: 2017-11-13 14:42:55
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9![Vector Calculus 20E, Spring 2012, Lecture B, Midterm 1 Fifty minutes, four problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl Vector Calculus 20E, Spring 2012, Lecture B, Midterm 1 Fifty minutes, four problems. No calculators allowed. Please start each problem on a new page. You will get full credit only if you show all your work clearly. Simpl](https://www.pdfsearch.io/img/00c01462a083da4316289d9ff9f19c53.jpg) | Add to Reading ListSource URL: www.math.ucsd.edu- Date: 2017-11-13 14:27:37
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10![Using Differentials to Bridge the Vector Calculus Gap Tevian Dray and Corinne A. Manogue Tevian Dray () received his B.S. from MIT in 1976, his Ph.D. from Berkeley in 1981, spent Using Differentials to Bridge the Vector Calculus Gap Tevian Dray and Corinne A. Manogue Tevian Dray () received his B.S. from MIT in 1976, his Ph.D. from Berkeley in 1981, spent](https://www.pdfsearch.io/img/e6bea8efdb7d1f45e148851abb55943c.jpg) | Add to Reading ListSource URL: math.oregonstate.edu- Date: 2003-10-01 12:21:39
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