Using Genetic Algorithm to maximize the function f(x)=sinx and 0≤x≤π. Use 6 bit code to represent a solution and a population of 4 individuals. Initial population is given (100101, 001100, 111010, 101110) or the values of $x$ are given (0.587, 0.19, 0.921, 0.73). Show one crossover and mutation operation

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A: Program that is required :-

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A: Given : Value x can take = 1 to 10 Probability of taking any value = 1/10

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Q: Suppose that f(n) = ¡n³ +n+1 and g(n) = 100n³ + 1000n² 10 ○ f(n) = O(g(n)) and f(n) = N(g(n)) ○ f(n)…

A: Given pair of functions f(n) and g(n) f(n) = (1/10)n3 + n + 1 g(n) = 100n3 + 1000n2

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A: MATLAB Script in text % Clear the command window, workspace variables & close all open…

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A:

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A: Forward: f'(a) ≈cosh(a + h) - cosh(a) / h = 3.79865301 - 3.76219569 / 0.01 = 3.64573199 Backward:…

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A: Given:- h : {0, 1}* --> { a, b }*  h(e) = e h(0) = aa h(1) = b h(L) = {h(w) | w ∈ L }⊂= {a, b}*

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A: Given: Describe a program that implements Linear Regression with two dependent variables…

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A: syms x y = sinh (3*x) *cosh (5*x);  di = diff (y);  solution = subs (di,0.2)  double (solution)

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A: The matlab code for the given problem is as below: clc            n=0:99; %sampling range…

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A: If  а  running  time  is  Ω(f(n)),  then  fоr  lаrge  enоugh  n,  the  running  time  is  аt  leаst…

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A:

Q: Use a computer to plot formula 2.22 directly, as follows. Define  z = qA/q, so that (l-z) = qB/q.…

A: Answer:  This below graph indicates value of  N decrease with the peak  Value of N…

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A: So answer of both questions are given below

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A: The answer provided below has been developed in a clear step by step manner in below:

Q: Simplify the following Boolean functions. F(w, x, y, z) = xyz + x!yz + !w!x!y!z + w!x!y!z + !w!xy!z…

A: Explanation: F(w, x, y, z) = xyz + !w!x!y!z + w!x!y!z + !w!xy!z + w!xy!z

Q: is F in SOP in expression F(w,x ,y z) = Σ(2, 4, 6, 8, 10, 12): d(0, 1, 3, 5, 7, 9, 11, 13, 14, 15)…

A: Lets see the solution.

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A: Option 1 is the correct option.

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A:

Q: Simplify the following Boolean functions, using three-variable maps: 1.Fxy,z)- Σ (0, 2,4 ,5 ) 2.…

A: I have answered this question in step 2.

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A: We need to write a Matlab code for the given scenario.

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A:

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A: ANSWER:-

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A: ANS: DIJKSTRA ALGORITHM:  It is single source shortest path algorithm . According to the given…