Consider the piped network given in the figure below. The total heads at

reservoir A and and $\{$:$H_B),$ the head losses $(\{$:$h1,h2,$dotsh$6)$ and flows $(Q1,Q2,$dotsQ$6)$ along each

pipe, and the demands at each node $(d1,d2,$dotsd$4)$ are known. For the given node and pipe labels and

flow directions, select which of the following statements are NOT true:

a$.d1+d2+d3+d4=Q1+Q4$

b$.Q1+Q2-Q3=h1$

c$.H_A-h1=H_z-h4-h5-h6+h3$

d$.h2+h3=h5+h6$

Write down two different equations to compute the head at node $2$ and

the sum of Q$1+$Q$4$ as a function of the known parameters, i$.$e$.,H_A,H_s,h1$dots,$Q1$dots,$d1$dots and

considering the direction of flows and labeling of the pipes$/$nodes given in the figure above.

a$)$

b

c$)$