The relationship between the voltage across a capacitor and the current through it is given by $q,$

If multiple answers are correct, select them all.

$v_C(t)=C_{-}{\displaystyle \underset{\phantom{}}{\overset{t}{}}}{i}_C()d$

$i_C(t)={?}_{-}{\displaystyle \underset{\phantom{}}{\overset{t}{}}}{v}_C()d\frac{}{C}$

$v_C(t)=Cd{i}_C\frac{t}{d}t$

$v_C(t)={?}_{-}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}t{i}_C()d\frac{}{C}$

$i_C(t)=C_{-}^t{v}_C(T)d$

None of the above