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Differential Equations: Computing and Modeling (5th Edition), Edwards, Penney & Calvis
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- 5. For function f(x) = 6 – x² on R, find: a) f(-5) b) f(3 – h) – f(8)arrow_forward2 Simplify the following Boolean function, using four variables K-map. F(A, B, C, D) = E(2, 3, 6, 7, 12, 13, 14)arrow_forwardComputer Science f(x)= Sin(x) – x 3 + C Where C = Max [0.15, (69/100)] x20, (x is in radian). Apply the false position method three iterations to find the root of the function (Decide the starting values of Xl and Xu yourself)arrow_forward
- b. Simplify the Boolean function F(A,B,C,D)= N (0,1,2,5,6,8,11,13,14) expressed using K-map as follows: (3 Marks) Your solution should contain: Truth table, K-map and simplified expression.arrow_forward1. Consider the following functions of n. (1) (2) (3) (4) (5) (6) (7) (8) (9) fi(n) = n, if n = 2.k for k = 0, 1, 2,... = n², otherwise. f2(n) = n, if n = 3.k for k= 0, 1, 2,... = n², otherwise. f3(n) = log n. Answer the following questions and prove your answ Yes or No. Yes or No. Yes or No. Yes or No. Yes or No. Yes or No. Yes or No. Yes or No. Yes or No. fi(n) = 2(f₂(n)), f2(n) = Q(fi(n)), fi(n) = 0 (f₂(n)), f₂(n) = 0 (fi(n)), fi(n) = O(n), f₂(n) = O(n²), f3(n) = O(√n), f3(n) = O(fi(n)), 22n = 0(2¹), swer for each one.arrow_forwardI need the answer as soon as possiblearrow_forward
- 2. Consider the Karnaugh map of a Boolean function k(w, x, y, z) shown at right. I (a) Use the Karnaugh map to find the DNF for k(w, x, y, z). (b) Use the Karnaugh map algorithm to find the minimal expression for k(w, x, y, z). x y z h(x, y, z) 0 0 1111OOOO: 0 0 0 0 нноонно 10 1 1 LOLOLOL 3. Use a don't care Karnaugh map to find a minimal representation for a Boolean expression h(x,y,z) agreeing with the incomplete I/O table below: 1 0 0 0 1 OLO 0 0 NE IN xy yz 1 IN WX yz 1 ÿz 1 wx wx wox xy xy fy 1 1 1 1arrow_forwardDraw the graph of the function f(x)=⌊x/2⌋ from R to R.arrow_forwardSimplify the Boolean function F (w, x, y, z)=Σ(0, 1, 3, 8, 9, 10, 11, 12, 13, 14, 15).arrow_forward
- 4. Use K-Map to simplify the following Boolean equations, draw circuit diagrams after simplification: (a) Y= ABC+ ABC (b) Y= ABC+ AB (c) Y= ABCD + ABCD + (A+ B+C+D) 5 Grov cnde is e code in which consecuttuevoluationa differ in ona verioble onlu Thearrow_forwardfind F(f(x),g(x),h(z)) if f(x,y,z)=yexyz,f(x)=x2,g(y)=y+1 and h(z)=z2arrow_forwardPlease use four variables K-map on a separate sheet of paperarrow_forward
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