Consider the following recursive code. // search from a[0] to a[j] for x. if you find it return true; else return false. // bool rec_search(vector & a, int j, int x) { assert(j< =a.); if (j==0) { return (x==a[0]); } if (a[j] == x) return true; return rec_search(a, j-1,x); } give the appropriate recurrence relation for the function rec_search.

Water in a partially filled large tank is to be supplied to the roof top, which is 8 m above the water level in the tank, through a 2.2-cm-internal-diameter pipe by maintaining a constant air pressure of 300 kpa (gage) in the tank. if the head loss in the piping is 2 m of water, determine the discharge rate of the supply of water to the roof top in liters per second.