Calculate Sc (4(x²-y)i + 8(y² + x)}) · dr if: (a) C' is the circle (x − 8)² + (y – 5)² = 1 oriented counterclockwise. Sc (4(x² −y)i +8(y² + x)}).dr = - (b) C' is the circle (x − a)² + (y − b)² = R² in the xy- plane oriented counterclockwise. Sc (4(x² − y)i +8(y² + x)j) · dr = ¯ -

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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Calculate ſc (4(x² − y)i + 8(y² + x)j) · dr it:
(a) C is the circle (x − 8)² + (y – 5)² = 1 oriented
counterclockwise.
Sc (4(x² − y)i +8(y² + x)}) · dr =
(b) C is the circle (x − a)² + (y − b)² = R² in the xy-
plane oriented counterclockwise.
Sc (4(x² − y)i +8(y² + x)}) · dř = ¯
Transcribed Image Text:Calculate ſc (4(x² − y)i + 8(y² + x)j) · dr it: (a) C is the circle (x − 8)² + (y – 5)² = 1 oriented counterclockwise. Sc (4(x² − y)i +8(y² + x)}) · dr = (b) C is the circle (x − a)² + (y − b)² = R² in the xy- plane oriented counterclockwise. Sc (4(x² − y)i +8(y² + x)}) · dř = ¯
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