4. How to solve optimization problem and under what circumstances would the answer be inadmissible/invalid

Q: z+y <=0. (a) Using - definition, show that lim (a)+(0,0) 2²+ y² +1 [2²sin +3² sin, (2, 3) (0,0) (b)…

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Q: X ▪ Find equation of plane which is contains line L: 3y-2 2-7 = -3 -1 and parallel to intersection…

A: We will find a point vector on the plane a→ and normal vector to the plane n→ then equation of plane…

Q: 7/ Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

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Q: Use Fourier transform to solve the partial differential equation: ди d²u ax² du(0,1) -10u: x>0,t> 0…

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: First find the degree of all the vertex.  The degree of vertex  V of a graph is the number of edges…

Q: show that If an > 0, n = 1, 2,. .... In+1 In+1 lim inf 14x <lim inf n ≤ lim sup Van ≤ lim sup nx In…

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Q: Please answer II only. THANKS!

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Q: (b) Use appropriate software to sketch the following polar curves i) r = cos(7.10) + cos² (0) ii) =…

A: A polar coordinate system contains a reference point and a reference direction. The reference point…

Q: You live in Grid-Town on the corner of 2nd and 4th, and work in a building on the corner of 16th and…

A: Introduction: A lattice path is made up of horizontal and vertical lines that run through the points…

Q: How many 8-bit strings of weight 5 start with 101 or end with 10 or both?

A: If the 8-bits strings has a weight of 5 , then From the 8 places to have digits , there are 5 places…

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

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Q: Find the total possible number of 5 letter words such that they are alphabetically first in the…

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Q: Consider sets A and B with |A| = 7 and |B| = 4. How many functions f: A → B are surjective?

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Q: Evaluate the following sums: (a) S₁ = Co+C₂+₁+.... 1 3 5 (b) S₂ = ₁ + ₁ + Cs +... C₂ 4 2 6

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Q: The Grinch sneaks into a room with 11 Christmas presents to 11 different people. He proceeds to…

A: consider the given question: Find the number of ways if no present is allowed to end up with its…

Q: Solve the following system of equations by Gauss-Jordan in terms of k, then find the values of k for…

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Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 12. F с A B C D E BADO В E A

A: The given two graphs are not equivalent

Q: Let I (a, b) be a bounded open interval and f: 1 2 be a monotone increasing function on I. (i) If f…

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Q: (-) 2 _x(n) =| n [u(n)—u(n–10)]

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Q: 6-

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Q: If Sue eats 1/8 of a large cake, and Bill eats 2/4 of a small cake, who eats more cake?

A: Let large cake = 1 pound       Small cake = 1/2 pound Sue eats 1/8 of large cake. Bill eats 2/4 of a…

Q: Give an example of a non-planar graph that is not contractible to K5or K3,3.

A: Solution :-

Q: →Step 1 Given- 5 9 -3 4 1 -1 -7 -7 4 -3 65 -21x1 X2 X3 X4 ช 2 -7 2 3 | -107 9 -2

A: Solution

Q: Perform BCD addition and verify using decimal integer (Base-10) addition: a) 1001 0100 + 0110 0111…

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Q: Let A be a 7 × 4 matrix with independent columns, and let b = null(AT). How many least squares…

A: Introduction: The least squares technique is a sort of mathematical regression evaluation that…

Q: . Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² =…

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Q: How many permutations of {1, 2, 3, 4, 5, 6, 7, 8) leave exactly 1 element fixed?

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Q: L (7² +9) (2²+4)² x कर

A: Follow the steps.

Q: Sheep's Wool Length: For sheep maintained at high environmental temperatures, respiratory rate,…

A: Introduction: A linear feature is described as a feature with one or variables and no exponents in…

Q: Find a complete solution of the following equation: 4x y' y - = y |×

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Q: ☐ In Exercises 11 to 14, use the greedy algorithm to find a Hamiltonian circuit starting at vertex A…

A: The Greedy algorithm for finding a Hamiltonian circuit is as follows: Select a starting vertex.…

Q: • Find equation of plane which is contains line L:= 3x-²=2=7 x-5 -2 -1 and parallel to intersection…

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Q: 5. Sketch the graph of one function f(x) that has all of the following properties: a.) f(-2) 0 b.)…

A: As per our guidelines we are supposed to answer  only one question. Here question 5) answer.

Q: Use Laplace transform to solve the partial differential equation: d²ud²u du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution

Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: Remember to save your answer. Which of the following factors lead to a monopoly market structure?…

A: Option 1 and 3 are correct answer so option B is correct option

Q: Use the second curve fitting criterion to minimize the sum of absolute deviations for the model y =…

A: To minimize the function ∑yi-y(xi) We use golden search method and to fit the model y=cx3 to the…

Q: If a is a non-real complex nth root of unity, find the values of:

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Q: 4 to onabans ! (0)0 4. Prove that

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Q: 2. By fixed-Point Iteration, evaluate f(x)=x²-x-e¯*starting at x₁ = 0.

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Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = , t> 0, 0<x<1,…

A: Solution

Q: Can the graph G be orientable? G:

A: Yes the graph is orientable.

Q: y" + y = sec x tan x

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Q: Are the following deterministic or stochastic? Rolling a pair of dice Calculating your savings…

A: Solution

Q: x 15. Transform Bessel's equation [0x²²y + xdx + (x²-n²) y=0_by substitution x= noittpos navig da…

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Q: 10. The tensile strengths of stainless steel cables of different diameters are investigated to give…

A: Introduction: An algebraic declaration with one or greater phrases is known as a polynomial. A…

Q: In Exercises 29 and 30, a floor plan of a museum is shown. Draw a graph that represents the floor…

A: Let the rooms be a,b,c,d,e,f,g The floor plan can be made as follows.

Q: Sketch the curve r = 8+8cos € in polar coordinates.

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Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: The given problem is related with graph theory. A subway map is given. We have to check the…