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Chapter 6 Solutions
Operations Research : Applications and Algorithms
- Q3 A: Simplify the following Boolean functions, using Karnaugh maps: F (xy, z) Σ (0,1,4,5)arrow_forwardts) The phase plot for an ODE - f(N) is shown below. (a) Which of these could be a plat of solutions y vs z comresponding to this CDE? A. B. C. D. You can cilck the graphs above to enierge them. OA. A OB. B OC. C OD. D (D) One equilibrium solution af this ODE is y which is chogse and another equilbrium solution of this CDE is y - which is choase (C) For which of the following value(s) of the initial condtion y(0) does the solution g(z) converge as z 00? Select all that apply DA. 0) - 3 OB. 0) - 3.5 OC. p(0) - 2 OD. (0) - -1arrow_forwardQ3 Find the minimum sum-of-products expressions for each of the following functions (d denotes don't care terms). (a) f(A, B, C, D) = Σm(4,11,12,13,14) + Σm(5,6,7,8,9,10) (b) f(A, B, C, D) = Σm(3,11,12,13,14) + Σm(5,6,7,8,9,10) (c) f(A, B, C, D) = m(1,2,4,13,14) + Σm(5,6,7,8,9,10) (d) f(A, B, C, D) = Σm(4,15) + Σd (5,6,7,8,9,10)arrow_forward
- Q1 Find the minimum sum-of-products expression for each function (d denotes don't care terms specified in parentheses). (a) f(a,b,c,d) = Σm(0,2,3,4,7,8,14) (b) f(a,b,c,d) = Σm(1,2,4,15) + Σd(0,3,14)arrow_forwardQ2) Solve the quadratic equation: ax+bx+c for a=1, b=4, c=13 using -b±/b²-4ac X1, X2=X = 2aarrow_forwardIn a CFG: S→ 0A1C | DOD A CE B → 1C | 00 C-0 D→D010D E 10. Which variables are useless ? O A only OD only O A and D OB only O A and B OB and Darrow_forward
- If x=83. Represent the following Boolean functions in simplest possible form in both Sum of Product (SOP) and Product of Sum (PoS) formats, F (a,b,c,d) =π(1,2,3,5,13,14) d (w.x.v.z)=£(0,4,5,7,14) Note: Minimize the expressions by using K-Moparrow_forwardFrom the given, answer the following. 1. The ramp response of the the transfer function G(s) will yield how many terms when applying partial fraction expansion? 2. Which of the following is a valid denominator of any term in the partial fraction expansion? a. s3 b. s+1 c.s d. s+3arrow_forwardMethod 2: Minimise the follow Boolean expression using Karnaugh Maps Y = ABC + ABC + ABC + ABCarrow_forward
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