Consider the reaction: $2A+BC+D.$ The following data was obtained for

the initial rate of formation of $C$ at various initial concentrations of A and $B.$

$($a$)$ What is the rate law for the reaction?

$($b$)$ What is the value of the rate constant?

$($c$)$ What is the rate at which $C$ is formed if $[A]=0\mathrm{.}027mo\frac{l}{L}$ and $[B]=0\mathrm{.}023mo\frac{l}{L}?$