Question $5$

$0/1$ pt

$10$

$95$

Details

The curves vec$(r{)}_1(t)=($:$-4t,t^3,3t^6$:$)$ and vec$(r{)}_2(t)=($:$sin(-4t),sin(4t),t-$:$)$ intersect at the origin.

Find the acute angle of intersection $($in radians$)$ on the domain $0\frac{}{2},$ to at least two decimal places.