$(20pt)$ Problem $4.$ Given the following set up$,$ where the reservoir levels are maintained at a constant elevation:

a$)(4$ points$)$ Calculate the total head at $A.$

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b$)(5$ points$)$ Calculate the reservoir elevation $Y$ if the hydraulic gradient is $0\mathrm{.}5$

c$)(6$ points$)$ What is the pressure head at $C?$

d$)(5$ points$)$ If the hydraulic conductivity of the soil is $0\mathrm{.}006c\frac{m}{s},$ how much water flows through the