operating conditions are q=10ft/min,q=5ft/2min,h=4ft. The tank is 6ft in diameter, and the density of each stream is 60lb/ft3. Part a: What is the transfer function relating H(s) to Q1(s) ? Part b: Given this input: q!(t)=5S(t)5S(t12), derive an expression for h(t). NOTE: do not yet consider the input shown in the right half of the figure, that's for part (d). Part c: Based on the expression you derived in part b, what is the new steadystate value of the liquid level, h"? Part d: Repeat part b and part c for the input shown to the right in the figure below. Keep in mind that this input is not yet in deviation variable form