To find clusters from the groups of points associated with a density maxima, we need to specify a density threshold, t. the number of clusters depends on the threshold t for the point count of a "dense" cell. a density maxima becomes a cluster if it is equal to or above the threshold. two density clusters are merged if there is a path connecting the density maxima of each cluster where the points in the path have a density greater than or equal to the density threshold. how many clusters are there for t= 3 and t = 9?

Consider a power plant with water as the working fluid that operates on an ideal rankine cycle. it has a net power output of 45mw. superheated steam enters the turbine at 7mpa and 500°c (h=3411.4 kj/kg; s=6.8 kj/kg k) and is cooled in the condenser at a pressure of 10 kpa by running cooling water from a lake through the tubes of the condenser at a rate of 2000 kg/s. (a) show the cycle on a t-s diagram (a right schematic is fine - you do not need to calculate the temperatures at each point); (b)-determine the work done by the turbine and the pump in kj/kg; (c)-the mass flow rate of water used by the power plant; (d)-the thermal efficiency of the cycle; (e)-the temperature rise of the cooling water. assume the cooling water is incompressible with cp 4.18 kj/kg°c.