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)
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
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 70E
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