(a) Define the line integral of a vector field F along a smooth curve C given by...
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(a) Define the line integral of a vector field F along a smooth curve C given by a vector function r(t).
(b) If F is a force field, what does this line integral represent?
(c) If F = (P, Q, R), what is the connection between the line integral of F and the line integrals of the component functions P, Q, and R?
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