Reading Covariance from a Joint MGF

Suppose \[ M_{X,Y}(s,t)=\exp\!\bigl(2s-t+2s^2+3st+\tfrac52 t^2\bigr). \] Compute $E[X]$, $E[Y]$, $\mathrm{Var}(X)$, $\mathrm{Var}(Y)$, and $\mathrm{Cov}(X,Y)$.