Calculate the flow in the field F along the path C. F = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 Hint: use the parametric equation: x = 4 cost and y = 4sint and t is between 0 and Pi, since it is only the upper part of the circle. a) (16pi-1)/4 b) - 8π c) 16π d) 8π
Calculate the flow in the field F along the path C. F = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 Hint: use the parametric equation: x = 4 cost and y = 4sint and t is between 0 and Pi, since it is only the upper part of the circle. a) (16pi-1)/4 b) - 8π c) 16π d) 8π
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 flow in the field F along the path C.
F = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 Hint: use the
parametric equation: x = 4 cost and y = 4sint and t is between 0 and Pi, since it is only the upper part of the circle.
F = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 Hint: use the
parametric equation: x = 4 cost and y = 4sint and t is between 0 and Pi, since it is only the upper part of the circle.
| a) |
(16pi-1)/4
|
|
| b) |
- 8π
|
|
| c) |
16π
|
|
| d) |
8π
|
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