Calculate the circulation of the field F around the closed curve C. F = xy 2 i + x 2y j; curve C is the counterclockwise path around C 1 ∪ C 2 : C 1: r(t) 9costi+9sintj 0 ≤ t ≤ π C 2: r(t) = t i , -9 ≤ t ≤ 9 a) 9 b) 162 c) 0 d) 81
Calculate the circulation of the field F around the closed curve C. F = xy 2 i + x 2y j; curve C is the counterclockwise path around C 1 ∪ C 2 : C 1: r(t) 9costi+9sintj 0 ≤ t ≤ π C 2: r(t) = t i , -9 ≤ t ≤ 9 a) 9 b) 162 c) 0 d) 81
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate the circulation of the field F around the closed curve C.
F = xy 2 i + x 2y j; curve C is the counterclockwise path around C 1 ∪ C 2 : C 1: r(t) 9costi+9sintj 0 ≤ t ≤ π
C 2: r(t) = t i , -9 ≤ t ≤ 9
F = xy 2 i + x 2y j; curve C is the counterclockwise path around C 1 ∪ C 2 : C 1: r(t) 9costi+9sintj 0 ≤ t ≤ π
C 2: r(t) = t i , -9 ≤ t ≤ 9
a) |
9
|
|
b) |
162
|
|
c) |
0
|
|
d) |
81
|
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