Assume that constructing a DFA from DFA(s) takes polynomial time. Also assume that TM T can decide ETM in polynomial time. Provide an analysis of the time complexity to show that TM F below that decides EQTM runs in polynomial time. F = On input (A, B), where A and B are DFAs:
1. Construct DFA C such that L(C) = (L(A) n L(B) U (L(A) N L(B)).
2. Run TM T that decides EDFA from Theorem 4.4 on input (C).
3. If T accepts, accept. If T rejects, reject.

Water at the rate of 1 kg/s is forced through a tube with a 2.5 cm inner diameter. the inlet water temperature is 15°c, and the outlet water temperature is 50°c. the tube wall temperature is 14°c higher than the local water temperature all along the length of the tube. what is the length of the tube?

A3-mm-thick panel of aluminum alloy (k 177 w/m-k, c 875 j/kg-k and ? = 2770 kg/m) is finished on both sides with an epoxy coating that must be cured at or above t,-150°c for at least 5 min. the production line for the curing operation involves two steps: (1) heating in a large oven with air at ts,0-175°c and a convection coefficient of h, 40 w/m2. k, and (2) cooling in a large chamber with air at 25°c and a con- vection coefficient of he 10 w/m2.k. the heating portion of the process is conducted over a time interval te which exceeds the ime required to reach 150°c by 5 min (h = r + 300 s). the coating has an emissivity of ? = 0.8, and the temperatures of the oven and chamber walls are 175 and 25°c, respectively. if the panel is placed in the oven at an initial temperature of 25°c and removed from the chamber at a safe-to-touch tempera ture of 37°c, what is the total elapsed time for the two-step curing operation?

How to increase the thermal officiency of an ideal simple rankino cycle? among these methods, which one is the best and why?