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Solve the problem. Let f(x,y) = In (x² + y2). Which one of the following curves is a simple closed path in the domain of the function f? Hint: Think about when the vector field is defined for all values of (x,y) inside the region and also on the boundary. x2 12 The ellipse a² = 1 O The unit circle (x - 5)² + y² = 1 The unit circle x² + y² = 1 O The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)

Solve the problem. Let f(x,y) = In (x² + y2). Which one of the following curves is a simple closed path in the domain of the function f? Hint: Think about when the vector field is defined for all values of (x,y) inside the region and also on the boundary. x2 12 The ellipse a² = 1 O The unit circle (x - 5)² + y² = 1 The unit circle x² + y² = 1 O The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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QUESTION 2 Solve the problem. Let f(x,y) = In (x² + y2). Which one of the following curves is a simple closed path in the domain of the function f? Hint: Think about when the vector field is defined for all values of (x,y) inside the region and also on the boundary. The ellipse + 24 = 1 The unit circle (x - 5)² + y² = 1 The unit circle x² + y² = 1 The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)
Transcribed Image Text:QUESTION 2 Solve the problem. Let f(x,y) = In (x² + y2). Which one of the following curves is a simple closed path in the domain of the function f? Hint: Think about when the vector field is defined for all values of (x,y) inside the region and also on the boundary. The ellipse + 24 = 1 The unit circle (x - 5)² + y² = 1 The unit circle x² + y² = 1 The rectangle with vertices at (-3, 2), (3, 2), (3, -2), and (-3, -2)
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