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Implement the following multiple output combinational logic circuit using a 4 line to
16-line decoder: F1= ∑m (0, 1, 4, 7, 12, 14, 15) F3= ∑m (2, 3, 7, 8, 10)
F2= ∑m (1, 3, 6, 9, 12) F4= ∑m (1, 3, 5)
Find y as a function of t if
y(0)=9,y′(0)=6.
LetH = {f : R → R | f(x) = ax + b; a, b ∈ R; a > 0}.H1 = {f : R → R | f(x) = ax; a ∈ R; a > 0}.H2 = {f : R → R | f(x) = x + b; b ∈ R}.(a) Prove that H1 and H2 are subgroups of H.(b) Determine whether each is a normal subgroup of H.
