Function t(k) 1. If k=1 then   1.1 t ← 3   else     1.2 t ← t(k-1)+k If you call z←t(4) in a main program, what is the value of z ?

Q: Use the simplex algorithm to solve the following problem (Use tableaus) max z = x1 – 2x2 + x3 - s.t.…

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Q: 1. Use Eq. (3.10) or Algorithm 3.2 to construct interpolating polynomials of degree one, two, and…

A: We have to use Newton's divided difference to construct interpolating polynomial for the following…

Q: Consider the Fixed Point iteration algorithm defined by the formula xn+1 = 9(xn), where g(x) = x – a…

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Q: In the Secant Method of numerically finding a root of a function, the algorithm for iteration is: Xn…

A: Given :  The algorithm for iteration is given as ;                 xn+1 = xn -…

Q: 2. (a) Use Euclid's Algorithm to show that there are integers s and t such that 126s + 1031t = 1.…

A: The detailed solution is as follows below:

Q: Q9: The steps number of the bisection algorithm are needed to compute the root of a function f(x) to…

A: This is a trial and error method. Answer is option c 20.

Q: Consider the following fixed-point iteration algorithm ,41 From a graphical solution of z = g(z) you…

A: Given xi+1=gxi=xi+5xi+1

Q: Let g(r) = = (–2x³ + 4x² + 1). Show that the iterative scheme rn+1 = g(In) has a unique fixed point…

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Q: For this code answer the following ALGORITHM Mystery (n) S ← 0 for i ← 1 to n do S ← S + i*i Return…

A: Given the given algorithm is ALGORITHM Mystery (n)S←0for i←1 to n doS←S+i*iReturn S

Q: Which of the following is not an issue with the Newton-Raphson method? A Instead of converging to…

A: Newton Raphson method is method that is used to solve any Algebraic or transcendental equations. The…

Q: Consider the following function algorithm. Function t(k) 1. If k=1 then   1.1 t ← -2   else…

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Q: Solve the given LP Max model using Simplex Algorithm. Max z = 2x1 – X2 + X3 s.t. 3x1 + x2 + x3 < 60…

A: An LP max model is given We need to solve it using simplex algorithm. The answer is given below.

Q: (a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested…

A: a Given polynomial is p(x)=12x4+3x3−5x2+7x−8. We have to evaluate the given expression at x=-1. Let…

Q: Consider a function f: N → N that represents the amount of work done by some algorithm as follow:…

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Q: 1. Use the Simplex algorithm to solve the following LP models: а. max z = 2x1 – x2 + x3 s.t. 3x1 +…

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Q: Find the generating function for the following recursion relation with initial conditions ao=0 and…

A: Let, the generating function be  fx=a0+a1x+a2x2+a3x3+a4x4+a5x5+a6x6+... Given,  a0=0a1=3…

Q: Q1:Write an Algorithm and draw a flowchart to evaluate the following equation: X = VY + 5 When Y >…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Consider the following function algorithm. Function abs(x) 1. If x≥0 then   1.1 abs ← x   else…

A: First we need to understand the actual meaning of this algorithm.

Q: {x0.5,x-1/3}

A: I am attaching image so that you understand each and every step.

Q: Determine the output of the following algorithm: X = 0 for i = 1 to 21 for j = 1 to i %3D X := X+1…

A: To determine the output of the given algorithm

Q: Neville’s Algorithm is used to approximate f (0) using f (−2), f (−1), f (1), and f (2). Suppose f…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 1. What is the recursive function that will represent this situation? a. m (t) = m (t- 1) +0. 03, m…

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Q: Suppose X~N(μ=1,σ=3). Find a number k such that P(X>k)=0.742. Round you answer to 3 decimal places.…

A: Suppose X~N μ=1, σ=3. To find a number k such that PX&gt;k=0.742.

Q: QUESTION 7 What is the dominant operation in this algorithm? 1. Input the number of values n 2.…

A: According to given, Step 1- taking the input for 'n' Step 2- taking input for list of numbers…

Q: use the mrp branch and bound algorithm presented following Solve Hhe MIR problem interactively to…

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Q: 6. T(n) = 4T (4) +n² base case: n = 1

A: Solution

Q: Apply the general form of unconstrained optimization algorithm for the function f(x1, x2) = 2x3 –…

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Q: Use the Fibonacci algorithm to find the minimum of 1 2(x- 1) log r- (x – 1)2 f(r) = I+1 which is…

A: From the given information. The function for which the minimum has to be calculated is as follows.

Q: Suppose that the function f(x)= qx<+4x-6 satisfies the necessary conditions of Rolle's theorem in…

A: The given function is f(x)=qx2+4x-6 ....................................... (1)  Satisfied the…

Q: Refer to the Pseudocode for Bisection Method. Suppose we want to use this algorithm to find a root…

A: Given equation is fx=x+1x−3.   According to the note in the first line of the question, the question…

Q: Q1:Writean Algorithm and draw a flowchart to evaluate the following equation: X = VY +5 When Y >…

A: The given equation is as follows -  X = Y + 5  When Y &gt; 100000 X = eY  When Y ≤ 100000

Q: Find the Wronskian for the set of functions {e5x, e-5x}

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Q: 9. 10. Neville's Algorithm is used to approximate ƒ(0) using ƒ(−2), ƒ(−1), ƒ(1), and ƒ(2). Suppose…

A: Please see the attachment

Q: 1. The conventional algorithm for evaluating a polynomial a„x“ + an-1x" at x = c can be expressed in…

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Q: 5. Consider the following function: f(x1, x2) = -(x1 – 2)? – x1 – x3. %3D (a) Use the steepest…

A: Given that  fx1,x2=-x1-22-x1-x22 Solution of part (a): We want to maximize f by steepest descent…

Q: 4. a) Suppose that for some specific problem, heuristic function h is admissible. Is h? admissible?…

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Q: Question 6 The algorithm must be applicable for all problems of the desired form not just for a…

A: All algorithm must be applicable for all problems of the desired from not just for a particular set…

Q: Consider the roots (zeros) of f(x) = a³ – 4x + 1. 7+ 6 5 3 -4 -3 -2 -1 3 -1 -2 - -3 - -4 -5- We will…

A: Given, f(x)=13x3-4x+1f'(x)=x2-4by newton's method xn+1=xn-f(xn)f'(xn)x0=initial guess

Q: For the algorithm below, obtain the number of operations in terms of the problem size. max := d for…

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Q: Consider the Fixed Point iteration algorithm defined by the formula za+1 = 9(In), where g(z) = I- a+…

A: According to the given information,

Q: What is the run-time complexity of the of the recursively defined Closed form function T(n)=3T(n-1)…

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Q: 5. T(n)= 3T (%) +2n base case: n = 1

A: Solution:

Q: 5. In a computation with Euler's method, the following results are obtain- ed with various step…

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Q: The following graph represents the growth functions of two different algorithms. Use the graph to…

A: For algorithm B: F(x)=5x-14 Which is a linear relation with x. For algorithm A: G(x)=x2 Which is…

Q: Apply the general form of unconstrained optimization algorithm for the function f(x1, x2) = 2x3 –…

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Q: (1) Consider the Fixed Point iteration algorithm defined by the formula In+1 = 9(xn), where g(x) = x…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Apply the general form of unconstrained optimization algorithm for the function f(x1, x2) = 2x - 2x1…

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Q: 8. Find a closed form representation for the function defined recursively by f(1) = 10 and…

A: Definition: Here is the master's theorem for recurrence relation is follows, Tn=aTnb+cnk, T1=c1…