$7\mathrm{.}13$ A $5000m^2(0,5ha)$ watershed with a runoff coefficient of $0,5$ and a time of concentration of $22$min is located in the Montr$$al region. Using the rational equation and Mitci's equations, and considering a return period of five years, calculate, in $\frac{m^3}{s},$ the following flows:

a$)$ the normal maximum runoff at this watershed's discharge;

b$)$ the flow $10$min after rainfall begins;

c$)$ the flow $30$min after rainfall begins;

d$)$ the flow $45$min after rainfall begins;

e$)$ the maximum flow, considering a $10$min rainfall $($from the onset of the rainfall, the precipitation front falls on the watershed's discharge$)$;

f$)$ the flow $4$min after the $10$min rainfall begins;

g$)$ the flow $12$min after the $10$min rainfall begins;

h$)$ the maximum flow, considering a $40$min rainfall;

i$)$ the flow $20$min after the $40$min rainfall begins;

j$)$ the flow $42$min after the $40$min rainfall begins.