For the reaction $2$A $->3$P

$($a$)$ Given that the reaction is of $4/3$ order derive the integrated form of the rate equation. $([$At$]$ as a function of time$).$

$($b$)$ Derive the expression for the half$-$life $($t$1/2)$ in terms of k $($rate constant$)$ and A$0($the initial concentration of A$).$

$($c$)$ Define the axis $($x and y$)$ for the graph that shows a linear dependence of observed changes. What is represented by the slope of the line in such a graph? Must be specific, not general, give a mathematical expression.

$($d$)$ Derive an expression for t$1/3.$