= Evaluate the line integral of the vector field F(x, y) = (8xy, 3y2) along the curve C given by y joining (0, 0) and (1,5). [ F(x, y) ∙ dr(t) . Does the value of the integral above depend on the path joining the points (0, 0) and (0, 5)? Yes = Unable to determine No 5x

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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=
Evaluate the line integral of the vector field F(x, y) = (8xy, 3y²) along the curve C given by y
joining (0, 0) and (1,5).
[ F(x, y) · dr(t) =
Does the value of the integral above depend on the path joining the points (0, 0) and (0, 5)?
Yes
O Unable to determine
No
5x²
Transcribed Image Text:= Evaluate the line integral of the vector field F(x, y) = (8xy, 3y²) along the curve C given by y joining (0, 0) and (1,5). [ F(x, y) · dr(t) = Does the value of the integral above depend on the path joining the points (0, 0) and (0, 5)? Yes O Unable to determine No 5x²
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