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Let r(t)=<x(t),y(t)>, from a<=t<=b, be a smooth curve and F(x,y)=xi+yj. What is the work done by...

Let r(t)=<x(t),y(t)>, from a<=t<=b, be a smooth curve and F(x,y)=xi+yj. What is the work done by F on the curve equal to?

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

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

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

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

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