Develop a general$-$purpose spreadsheet or computer program to compute the normal depth in a channel of any cross$-$section given the flow rate, Manning's n$,$ and the bottom slope. You should create a function or cell of your spreadsheet that will compute the cross$-$sectional area and the hydraulic radius as a function of the flow depth. It is assumed that the user will need to edit these functions $/$ cells to apply the program to different cross$-$sections. Test your program for a $5$ m wide rectangular channel that is carrying $5$ m$3/$s with a Manning's n of $00\mathrm{.}013$ at a bottom slope of $0\mathrm{.}001.$