(a) Give the product $X$ expected when methylenecyclobutane undergoes acid-catalyzed hydration.
(b) The rate-limiting step is protonation of the double bond; use $\mathrm{H}_{3} \mathrm{O}^{+}$ as the acid catalyst. Draw the structure of the reactive intermediate formed in the rate-limiting step.
(c) Draw the transition state for the rate-limiting step.
(d) What is the rate-limiting step for dehydration of $X$ (the reverse of the reaction shown above)?