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let r(t) = < x(t), y(t)>, a<t<b, be a smooth curve and F(x,y) = xi+yj, the...

let r(t) = < x(t), y(t)>, a<t<b, be a smooth curve and F(x,y) = xi+yj, the work done by F on the curve equals

a) 1/2(x(b)^2+y(b)^2-x(a)^2-x(a)^2)

b) x(b)^2+y(b)^2-x(a)^2-x(a)^2

c) x(b)y(b)-x(a)y(a)

d)1/2(x(b)y(b)-x(a)y(a))

honestly, l don't remember clearly of the option. can you derive from the question to give answers.

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