b
\(\frac{d \omega}{d t}=6 t^{2}-2 t\)

\(\int \limits_{10}^{m} d \omega=2 t^{5}-t^{2}\)

\(\omega=10+2 t^{5}-t^{2}\)

\(\frac{d \theta}{d t}=10+2 t^{5}-t^{2}\)

\(\int \limits_{4}^{\theta} d \theta=10+2 t^{3}-t^{2}\)

\(\int \limits_{4}^{\theta} d \theta=10 t+\frac{t^{4}}{2}-\frac{t^{3}}{3}\)

\(\theta=4+10 t+\frac{t^{4}}{2}-\frac{t^{5}}{3}\)