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During the kinetic study of the reaction, \( 2 \mathrm{~A}+\mathrm{B} \rightarrow \mathrm{C}+\mathrm{D} \), following results were obtained:
\begin{tabular}{|c|c|c|c|}
\hline Run & {\( [\mathrm{A}]\left(\mathrm{mol} \mathrm{L}^{-1}\right) \)} & {\( [\mathrm{B}]\left(\mathrm{mol} \mathrm{L}^{-1}\right) \)} & Initial rate of formation of \( \mathrm{D}\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~min}^{-1}\right) \) \\
\hline I & \( 0.1 \) & \( 0.1 \) & \( 6.0 \times 10^{-3} \) \\
\hline II & \( 0.3 \) & \( 0.2 \) & \( 7.2 \times 10^{-2} \) \\
\hline III & \( 0.3 \) & \( 0.4 \) & \( 2.88 \times 10^{-1} \) \\
\hline IV & \( 0.4 \) & \( 0.1 \) & \( 2.40 \times 10^{-2} \) \\
\hline
\end{tabular}
Based on the above data which one of the following is correct?
(a) rate \( =k[\mathrm{~A}]^{2}[\mathrm{~B}] \)
(b) rate \( =k[\mathrm{~A}][\mathrm{B}] \)
(c) rate \( =k[\mathrm{~A}]^{2}[\mathrm{~B}]^{2} \)
(d) rate \( =k[\mathrm{~A}][\mathrm{B}]^{2} \)
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