Part A. Determine if the given set is simply-connected: the region inside the polygonal line joining the points in the following order (5, 5), (1,4), (1,2), (3,3), (5,0). Part B. Given F = -C(x(1+ y² )i + x²j), where C is a constant and the domain U = R² of F is simply-connected. Determine whether F is conservative. Part C. Do not evaluate the iterated integral. Express the iterated integral as an equivalent integral with the order of integration reversed. T14 x²ydxdy arctan(y)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter3: Functions And Graphs
Section3.3: Lines
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Part A. Determine if the given set is simply-connected: the region inside the polygonal line joining the points in the following order
(5, 5), (1,4), (1,2), (3, 3), (5,0).
Part B. Given F = -C(x(1+ y² )i+ x²j), where C is a constant and the domain U = R² of F is simply-connected. Determine
whether F is conservative.
Part C. Do not evaluate the iterated integral. Express the iterated integral as an equivalent integral with the order of integration
reversed.
T14
arctan(y)
Transcribed Image Text:Part A. Determine if the given set is simply-connected: the region inside the polygonal line joining the points in the following order (5, 5), (1,4), (1,2), (3, 3), (5,0). Part B. Given F = -C(x(1+ y² )i+ x²j), where C is a constant and the domain U = R² of F is simply-connected. Determine whether F is conservative. Part C. Do not evaluate the iterated integral. Express the iterated integral as an equivalent integral with the order of integration reversed. T14 arctan(y)
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