Suppose \vec{f}(x, y) = -y \sin(x) \vec{i} + \cos(x) \vec{j}.

(a) find a vector parametric equation for the parabola y = x^2 from the origin to the point \left(3,9\right) using t as a parameter.
\vec{r}(t) =

(b) find the line integral of \vec{f} along the parabola y = x^2 from the origin to \left(3,9\right).
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