Plot a graph for the following polynomials each with x=-100 to +100 with a change in x as 0.2 a) f(x) = x{x-2) (x-1)(x+1) b) f(x) =-(x-2) (x-1)(x+1) a f(x) = -x{x-1)(x+1)(x-2) d) f(x) = (1-x}{x+1) (x-2) Write c++ code that will output all the values of f(x) given values of x. Do it for a, b, c and d above
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- Simplify the following Boolean expressions, using four-variable maps: (a) A'B'C'D' + AC'D' + B'CD' + A'BCD + BC'D (b) x'z + w'xy' + w(x'y + xy') (c) A'B'C'D + AB'D + A'BC' + ABCD + AB'CMatlab Write a program to plot the relation of the following functions y1=sin(x),y2=sin(4x),y3=cos(6x),y4=sin(5x)cos(3x) ,that shows these graphs with interval [0,4π],and increasing π /50 for each step .Simplify the following Boolean expressions, using four-variable K-maps: x′z+w′xy′+w(x′y+xy′)
- Simplify the following Boolean expressions, using four-variable K-maps: AB′C+B′C′D′+BCD+ACD′+A′B′C+A′BC′DSimplify the following Boolean function , using three- variable maps: a) F(x,y,z) = Σ (0,2,6,7) b) F(A,B,C ) = Σ (0,2,3,4,6) c) F(a,b,c) = Σ (0,1,2,3,7) d) F(x,y,z) = Σ (3,5,6,7)Please explain all steps: What Boolean equation is represented by the following K-Maps: a) ~y~z ~yz yz y~z ~x 1 1 1 x 1 1 1 1 b) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 wx 1 w~x 1 1 c) ~y~z ~yz yz y~z ~w~x 1 1 1 1 ~wx 1 1 wx 1 1 1 1 w~x 1 1 d) ~y~z ~yz yz y~z ~w~x 1 1 ~wx 1 1 1 wx 1 1 w~x 1 1 1
- Simplify the following Boolean functions, using three-variable k-maps: a. F (x,y,z) = Σ(2,3,4,5) b. F (x,y,z) = Σ(0,2,4,6) c. F (x,y,z) = Σ(1,2,3,6,7) d. F (x,y,z) = Σ(1,2,3,5,6,7) e. F (x,y,z) = Σ(3,4,5,6,7)4. Simplify the following Boolean expressions, using four-variable K-maps: (a) A′B′C′D′+AC′D′+B′CD′+A′BCD+BC′D (b) w′z+xz+x′y+wx′zConsider a language with only three letters, x, y, and z. Now suppose that you intercept a very long message in this language and discover the average frequencies for x, y, and z to be 0.6, 0.3, and 0.1, respectively. Based on your observations, what is the index of coincidence for this language
- Simplify Boolean function using K map. Variables are marked in a,b,c,d order 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 0 Question 37 options: ac’ + ad + bd + a’c ac’ + bd’ + a’c ac’ + bd + a’c None of above c’a + b’c’ + abusing matlab 1. Plot the following functions on the same graph for x values from −2π to 2π,selecting spacing to create a smooth plot:y1 = sin(x)y2 = sin(2x)y3 = sin(3x).Adjust the plot so that• Line 1 is red and dashed.• Line 2 is blue and solid.• Line 3 is green and dotted.Simplify Boolean function f=Ʃ(0,1,3) using K map. f=Ʃ(0,1,3) = _________ Question 68 options: f = x’y f = x + y’ f = x’ + y f = x’y’ + x’y + xy f = x y ‘