the value of $[(3x + 4y) dx + (2x + 3y2) dy] around the circle x² + y² = 4. Find the line integral (FdR along the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use stokes theorem to solve number 4.
+ zk,
(a) along the line segment joining (1,0,0) and (1,0,4).
(b) along the helix x= cos 2mt, y sin 2rt, z
41.
4. Find the value of $ [(3x + 4y) dx + (2x + 3y²) dy] around the circle x² + y² = 4.
5. Find the line integral f F dR along the line segment from (1,0,2) to (3,4,1), where
F- 2xy + (x²+z)j + yk.
6. Find the integral & FdR around the circumference of the circle ² - 2 + ² = ²
Transcribed Image Text:+ zk, (a) along the line segment joining (1,0,0) and (1,0,4). (b) along the helix x= cos 2mt, y sin 2rt, z 41. 4. Find the value of $ [(3x + 4y) dx + (2x + 3y²) dy] around the circle x² + y² = 4. 5. Find the line integral f F dR along the line segment from (1,0,2) to (3,4,1), where F- 2xy + (x²+z)j + yk. 6. Find the integral & FdR around the circumference of the circle ² - 2 + ² = ²
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