Respuesta :
Hi there!
The angular velocity is equivalent to:
[tex]\omega(t) = \theta'(t) = \frac{d\theta}{dt}[/tex]
Take the derivative using the power rule:
[tex]w(t) = \frac{d\theta}{dt} = \boxed{6t + 2}[/tex]
The angular acceleration is equivalent to:
[tex]\alpha(t) = \frac{d\omega}{dt}[/tex]
Differentiate once again:
[tex]\boxed{\alpha(t) = 6}[/tex]