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

(a) Find a vector parametric equation for the parabola y = x^2 from the origin to the point (4,16) using t as a parameter.
r(t)=?

(b) Find the line integral of vec{F} along the parabola y = x^2 from the origin to (4,16).

Question

Suppose vec{F}(x,y) = -y sin(x){i} + cos(x) {j}.

(a) Find a vector parametric equation for the parabola y = x^2 from the origin to the point (4,16) using t as a parameter.
r(t)=?

(b) Find the line integral of vec{F} along the parabola y = x^2 from the origin to (4,16).

experimentx · Answer

the parametric equation of parabola is x = t, y = t^2
to find the line integration, 
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