$-----$ JUST NEED THE SOLUTION $------$

Consider the sketch below. The lake is $10$ metres deep, followed by a clayey formation $20$ metres thick with an hydraulic conductivity $($coefficient of permeability$)$ of $5{10}^{-9}\frac{m}{s}.$ The clay is underlain by a horizontal sand "aquifer" $5m$ thick for which the permeability is $7{10}^{-6}\frac{m}{s}.$ Assume the water level in the sand aquifer is the same as the water level in the lake.

a$)$ What is the vertical hydraulic gradient between the lake bed and the top of the aquifer. How much flow moves between the lake and the aquifer? In what direction?

b$)$ If the water level in the aquifer $($i$.$e$.$ the elevation of the triangle symbol on the standpipe$)$ were lower by $5$ metres of elevation, how much flow of water would there be between the lake and the aquifer? In which direction is the flow moving?

c$)$ If the water level in the standpipe is $6$ metres higher than the elevation of the water level of the lake, how much flow would there be and in what direction?

d$)$ Imagine that you have two piezometers in the lake bottom and they are $400$ metres apart in the horizontal direction. To the north, the piezometer water level is $1m$ below the water surface of the lake and to the south, the piezometer reads $5m$ below the lake. How much water $($per unit width of aquifer$)$ moves horizontally through the aquifer and in what direction does it move?