Calculate the work done by the force field F=⟨y,−x⟩\mathbf{F} = \langle y, -x \rangleF=⟨y,−x⟩ along the path r(t)=⟨t,t2⟩\mathbf{r}(t) = \langle t, t^2 \rangler(t)=⟨t,t2⟩ for 0≤t≤10 \le t \le 10≤t≤1.
−1-1−1
111
000
1/21/21/2