For the following sets of functions, design a system
i. using a rom
ii. using a pla with the number of product terms shown
iii. using a pal

a. f(a, b,c, d) = σm(1,2,6,7,8,9,12,13)
g(a, b,c, d) = σm(1,8,9,10,11,13,15)
h(a, b,c, d) = σm(1,6,7,8,11,12,14,15)

b. w(a, b, c) = σm(0, 1, 4)
x(a, b, c)= σm(0, 3, 4, 7)
y(a, b, c) = σm(l, 2, 6)
z(a, b, c)= σ(2, 3, 6, 7)

c. f(a, b, c, d)= σm(5, 6, 7, 8, 11,13, 14,15)
g(a, b, c, d)= σm(0, 1, 5, 6, 8, 9, 11,13, 14)

d. f(a, b, c)= σm(1, 2, 6, 7, 8, 9, 12, 13)
g(a, b, c, d)= σm(l, 8, 9, 10, 11, 13, 15)
h(a, b, c, d) =σm(6, 7, 8,11, 12,14, 15)

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?