3.1-6 Prove that the running time of an algorithm is O(g(n)) if and only if its worst-case running time is O(g(n)) and its best-case running time is 2(g(n)).
Q: Which of the following is the algorithm of Newton's Method for finding x3 = N when N is a real…
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Q: 4 1 (c) Consider this multistep method: w₁+1 = wi - wi-1 + hf(ti, wi). What can you say about its…
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Q: 3 Use the simplex algorithm to solve the following problem: max z 2x, – x2 + x3 s.t. 3x1 + x2 + X3 <…
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Q: Question 2. By employing the Adams Fourth-Order Predictor-Corrector algorithm with the step size…
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Q: 7 11 10 12 4 9. 2 3 Question 5 when you apply the greedy algorithm to color the tree when each new…
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Q: 2 Consider the following IP: min z = 6x1 + 8x2 s.t. 3x1 + x2 2 4 X1 + 2x2 > 4 X1, X2 2 0; x1, X2…
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Q: 4 Use the simplex algorithm to find the optimal solution to the following LP: min z = -3x1 + 8x2 4x1…
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Q: 1. Using the Baby-step Giant-step Algorithm in the group (a) Z, find log, 5, (b) Z7, find log, 11.
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Q: 6. Show that the generating function for the number of self-conjugate partitions of n is Z(1- x²)(1…
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Q: DI 12.6-3. Use the BIP branch-and-bound algorithm presented in Sec. 12.6 to solve the following…
A: please see the next step for solution
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Q: Ex 3.4.2 Use the Extended Euclidean Algorithm to compute [u]¯1 in U, a) u = 5, n = 13, b) u = 13, n…
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Q: 4. Consider the following LP: max z = 6x1 + x2 st. X1 + x2 < 5 2x, + x2 5 6 X1,x2 20 (a) Solve this…
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Q: The branch-and-bound algorithm starts by: solving two LP problems in which X1 is set at 0 and 1…
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- Which of the following is the algorithm of Newton's Method for finding x3 = N when N is a real number? a.) xn+1 = 1/2 (xn + N/xn) b.) xn+1 = 1/3 (2xn - N/x2n) c.) xn+1 = (xn + N/xn) d.) xn+1 = 1/2 (xn+N/x2n) e.) xn+1 = 1/3 (2xn - N/x2n)Use the linear finite difference algorithm to approximate the solution to the following problems.We want to find the number of ways in which 3r balls can be selected from 2r red ballsand 2r blue balls. Find the generating function corresponding to the above problem in closed form.
- By employing the Adams Fourth-Order Predictor-Corrector algorithm with the step size h=0.2, find the numerical solution of the following problem at t = 0.4; y^ prime =t^ 2 -2e^ -2t; y(0) = 1 , The true solution of this problem is 0 <= t <= 1 , y(t) = (t ^ 3)/3 + e ^ (- 2t) * C * o * m * p * c numerical result with the actual solution at this point. the obtainedAn account on server A is more expensive than an account on server B. However, server A is faster. To see if it’soptimal to go with the faster but more expensive server, a manager needs to know how much faster it is. A certaincomputer algorithm is executed 30 times on server A and 20 times on server B with the following results:T-Value = -3.12 P-Value = 0.002 DF = 48Is server A really faster? How strong is the evidence? Formulate the suitable hypothesis and alternative and conclude at5% level of significance.Use the Runge-Kutta Fehlberg Algorithm to approximate the solution to the following initial-value problems. This is a numerical analysis problem
- Suppose a company manufactures different electronic components for a computer. Component A requires 2hours of fabrication and 1hour of assembly; Component B requires 3hours of fabrication and 1hour of assembly and component C requires 2hours of fabrication and 2hours of assembly. The company has up 1000 Labour hours for fabrication and 800 labour hours assembly each week. If proof on each component A,B, and C is K7,K8 and K10 respectively.How many of each should be produced to maximize?find the mximum possible order of S5The dependencies between the 10 activities listed in the table above are as follows:• The project starts with two activities—A, and B—which can be done concurrently.• When activity A is finished, activity C can start• When activity B is finished, activities D and E can start• When both activities C and D are finished, activity F can start• When activity E is finished, activity G can start• When activity F is finished, activity H can start• When both activities G and H are finished, activity I can start• When activity G is finished, activity J can start• The project is complete when activities I and J are finished Questions1. Organize the information above in an activity precedence table showing the activity, precedent and duration (calculated using the PERT weighted average formula and round to the nearest integer).2. Draw an AON network diagram and calculate its early start, early finish, late start and late finish times, floats (Free and total) for each activity. Make sure you…
- Consider the following function algorithm. Function t(k) 1. If k=1 then 1.1 t ← -2 else 1.2 t ← t(k-1)+2 If you call z←t(5) in a main program, what is the value of z ?4. Solve the given LP model by Simplex Algorithm (a) Algebraic form (b) Tableau method Max: 5x_{1} + 4x_{2} + 3x_{3} St: 2x_{1} + 3x_{2} + x_{3} = 0Find the GCD and parameters s and t using Extended Euler algorithm (show all steps) x=198 and y = 243 x=1819 and y = 3587