Solved: 1518 TrueFalse Determine whether the statement is true orfalse. Explain your
Chapter 15, Problem 17(choose chapter or problem)
Determine whether the statement is true or false. Explain your answer.
If \(F(x, y) = f(x, y)i + g(x, y)j\) along a smooth oriented curve \(C\) in the \(xy-plane\), then
\(\int_{C} F d r=\int_{C} f(x, y) d x+g(x, y) d y\)
Equation Transcription:
Text Transcription:
F(x, y) = f(x, y)i + g(x, y)j
C
xy-plane
integral_C F dr = integral_C f(x,y) dx + g(x,y) dy
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