7. If the line integral of [ (8x + y + 6y²e²)dx + (ax + bye² + 3y¹) dy along the curve given by (tk)i + sin(tk/2)j from t = 0 to t = 1 produces the same value for any choice of k, then the sum of parameter a + b must be (a) 14. (b) 22. (c) 13. (d) 7. (e) 9.
7. If the line integral of [ (8x + y + 6y²e²)dx + (ax + bye² + 3y¹) dy along the curve given by (tk)i + sin(tk/2)j from t = 0 to t = 1 produces the same value for any choice of k, then the sum of parameter a + b must be (a) 14. (b) 22. (c) 13. (d) 7. (e) 9.
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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Transcribed Image Text:7.
If the line integral of
[ (8x+y+6y²e²)dx + (ax + bye* + 3y¹)dy
along the curve given by (tk)i + sin(tk/2)j from t = 0 to t = 1 produces the same
value for any choice of k, then the sum of parameter a + b must be
(a) 14.
(b) 22.
(c) 13.
(d) 7.
(e) 9.
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