Consider the following tank with valve (resistance R) q(t) h(t) R 90(1) (a) Derive a transfer function model between h and q; when q = h/R (b) Derive a transfer function model between h and q; when qo = h (C) Use the transfer function models in (a) to determine the response h(t) to a step change in q of magnitude M at t = 0. Find the transfer function of output liquid to the input liquid.