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) Calculate (8(x² - y)i + 8(y² + x)j³) · dř if: (a) C is the circle (x − 4)² + (y − 8)² = 25 oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = - (b) C is the circle (x − a)² + (y - b)² = R² in the xy-plane oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = .

) Calculate (8(x² - y)i + 8(y² + x)j³) · dř if: (a) C is the circle (x − 4)² + (y − 8)² = 25 oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = - (b) C is the circle (x − a)² + (y - b)² = R² in the xy-plane oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j') · dř = .

Advanced Engineering Mathematics
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 (8(x² - y)i + 8(y² + x)ƒ³) · dř if: (a) C is the circle (x − 4)² + (y - 8)² = 25 oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j ) · dr = - . (b) C is the circle (x − a)² + (y - b)² = R² in the xy-plane oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j) · dr = -
Transcribed Image Text:) Calculate (8(x² - y)i + 8(y² + x)ƒ³) · dř if: (a) C is the circle (x − 4)² + (y - 8)² = 25 oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j ) · dr = - . (b) C is the circle (x − a)² + (y - b)² = R² in the xy-plane oriented counterclockwise. - Sc (8(x² − y)i + 8(y² + x)j) · dr = -
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