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Let ² = (62 +6x4) ² + (2y +62 + 6sin (y+)) j +(6x+by+ 2e²") E. (a) Find curl 7. (b) What does your answer to part(a) tell you about SF.dr where C is the circle (x-25)² + (Y-5) 21 in the xy-plane, = oriented clockwise? Sc ²². dr = If c is any closed curve, what can you say about fF.dr ? Sc7².dr² = (d) Now let C be the half circle. (x-25)2 + (y-5)2 = 1 in the xy-plane with y75, traversed from (26,5) to (24,5). Find S.dr by using your result from (c) and considening C plus the line segment connecting the end points of C. SP.d²=

Let ² = (62 +6x4) ² + (2y +62 + 6sin (y+)) j +(6x+by+ 2e²") E. (a) Find curl 7. (b) What does your answer to part(a) tell you about SF.dr where C is the circle (x-25)² + (Y-5) 21 in the xy-plane, = oriented clockwise? Sc ²². dr = If c is any closed curve, what can you say about fF.dr ? Sc7².dr² = (d) Now let C be the half circle. (x-25)2 + (y-5)2 = 1 in the xy-plane with y75, traversed from (26,5) to (24,5). Find S.dr by using your result from (c) and considening C plus the line segment connecting the end points of C. SP.d²=

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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4 (ау Let 7² = (62 +6x² ) ² + (2y +62 +6sin (y)) j + (6x + by + 2e²²²) R. Find curl 7. (a) (b) What does your answer to part(a) tell you about SF. dr where C is the circle (x-25)² + (y-5) 21 in the xy-plane, oriented clockwise? Sc F. dr= (c) If C is any closed curve, what can you about ( F. dir? say Sch.dr= (d) Now let C be the half circle (x-25) ² + (y-5)² =1 in the xy-plane 2 with y75, traversed from (26,5) to (24₁5). Find ScF.dr by using your result from (c) and considening C plus the end points segment connecting the √c P.dp= =
Transcribed Image Text:4 (ау Let 7² = (62 +6x² ) ² + (2y +62 +6sin (y)) j + (6x + by + 2e²²²) R. Find curl 7. (a) (b) What does your answer to part(a) tell you about SF. dr where C is the circle (x-25)² + (y-5) 21 in the xy-plane, oriented clockwise? Sc F. dr= (c) If C is any closed curve, what can you about ( F. dir? say Sch.dr= (d) Now let C be the half circle (x-25) ² + (y-5)² =1 in the xy-plane 2 with y75, traversed from (26,5) to (24₁5). Find ScF.dr by using your result from (c) and considening C plus the end points segment connecting the √c P.dp= =
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