Question: Consider a minimization linear programming problem in standard form. Let x be a BFS associated with the basis B. Prove that if x is the unique optimal solution and is nondegenerate, the reduced cost of every nonbasic variable is then positive.

Q: Two vector spaces V and W over the field F are isomorphic if and only if there is a bijection /: VW ...

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Q: Note: Solve all items until reaching a tolerance of 1æ10 5 or lower 1. Using the Newton method evalu...

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Q: 12. Given the sct of vectors S = {(6,2,1), (4,-3, 1), (5, 8, 2)} of R, is this set linearly independ...

A: Given: S=6, 2, 1, 4, -3, 1, 5, 8, 2 To check: Whether the set S is linearly independent and the vect...

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Q: in saw requires 5 hours of assembly and a wood chipper 8 hours. A maximum of 120 hours of assembly o...

A: In this question, the concept of Linear Programming is applied. Linear Programming Problem An approa...

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A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and...

Q: tion Method to solve this linear system:

A: Introduction: The Gaussian elimination method is also known as the row reduction algorithm for solvi...

Q: selve the followig system usig Jacabiitecation me thod use xs (o.s o.sos toXt

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Q: Find the Re and Im parts of exp(z?)

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Q: Let p be a prime. Show that -2 is a quadratic residue modulo p if and only if p = 1 mod 8 or p = 3 m...

A: Definition(Quadratic Residue Modulo): In number theory an integer qis called a quadratic residue mod...

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A: Condorcet criterion is the candidate who beats all other candidates in the pair-wise comparison is t...

Q: = (y² – z² +3yz – 2x of the following is/a

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Q: Consider the complex number z = (1 – i)(-1-iv3). Find |2| and arg(2).

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Q: (d) Solve the following equations for x. (Correct to 4 decimal places) (i) 2ex-1 = 4 (ii) log5 x – l...

A: Brief answer is given below.

Q: A company plans to purchase a new piece of equipment in 16 months. If $5585 is deposited into a savi...

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Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B.

A: We have to find the cartesian product of the given sets A and B. The cartesian product is defined as...

Q: 10 8. ID 116

A: Introduction: The division is one of the four basic mathematical operations, alongside addition, sub...

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A: Introduction: When a boat or a person goes downstream, then the speed of the boat or person and the ...

Q: ,400 in an account growing at a rate allowing the money to double every 6 years. How much money woul...

A: Introduction: The formula for the growth function is given by, A=A0ert Where A0 is the Initial amoun...

Q: Find the Laplace transform, F(s) of the function f(t) = 5, t > 0. F(s) = ,s > 0

A: Here, we have to find laplace transform of f(t) using definition

Q: Solve the equation

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Q: a) Choose the correct graph of the function. OA. Oc. b) Choose the correct graph of the tangent line...

A: Given; fx=2x2-5x+3 Considering the given function we may determine that the given parabola is open u...

Q: Find y, of the following functions: (1) y=e +2

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Q: Find the Laplace transform, F(s) of the function f(t) = t°, t > 0. F(s) = ,8 > 0 00 Use the definiti...

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Q: Use 8 inference rules and 10 replacement rules (D.N., C.E., B.E., DeM., Dup., Assoc., Commu., Dist.,...

A:  use 8 inference rules and 10 replacement rules  i) A≡~B∨C            ...iB≡D·~E              ...ii~...

Q: Q2. The differential equation +p(x)y+q(x)y² = r(x) is known as Riccati's equation. If one particular...

A: Introduction: The first order differential equation dydx+pxy+qxy2=rx is referred to as Ricatti's equ...

Q: y" + y = 1 – u (t – n), y(0) = 1, y (0) = 0 Find y (4). Express your answer to 3 decimal places. 3.3

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Q: ² f :(0,0) = 1, дх ду (0,0) = –1 Show that ду дх

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Q: Use the 8 inference rules to prove the following arguments. a) ~P (Q v P) - R P v S ...

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Q: Given set A determine if the following statements are true or false. (Enter T for true and F for fal...

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Q: 8 - 29 g2 – 4s – 5 Find the inverse Laplace transform of F(s) f(t) = ||

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Q: 2. (a) If gcd(a , 35) = 1, show that a2 = 1 (mod 35). [Hint: From Fermat's theorem a = 1 (mod 7) and...

A: Fermat's Little Theorem:- It states that if p is any prime and a is any integer then, ap≡amodp    i....

Q: Use the power series method to solve the initial value problem: (x² + 1)y/" + 2xy = 0, y(0) = 0, y'(...

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Q: Define the binary operation in the set of rational numbers as: a*b = ab+a-b Which of the following ...

A: Given,           a*b=ab+a-b

Q: Ordering Fractions best shows the fractions ordered least to g 2) 5 7 3. 3) A. 10 10 10 3 7 В. 10 10...

A: We have to find the ascending order of the given functions.

Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

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Q: Find the missing angle x.

A: In this question, the concept of straight angle is applied. Angle in Straight Angle Angles on one si...

Q: only need help on parts d-e

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Q: Show solution

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Q: Solve the given system of equations. Assume t > 0. tx' = Ax is analogous to the second order Euler e...

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Q: Are these two triangles congruent? If so, state the rule which you used to determine congruence. SAA...

A: Correct option is last.

Q: Find the value of Vx+3-/3 lim lim,-5* |x-5|(x²+5) (x-5) 1 O -20 2+/3 O 130 O none О 30 2 V3 O None 1...

A: 1) find the value of limx→0x+3-3x rationalize the numerator limx→0x+3-3x=limx→0x+3-3x×x+3+3x+3+3    ...

Q: Use the plurality method to determine the winner of the election of the school president. There are ...

A: "Since you have posted a question with multisubparts, we will solve the first three subparts for you...

Q: Question 4. Suppose that H and K are subgroups of a group G and there are elements a, b e G such tha...

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Q: A company is considering two insurance plans with coverage and premiums shown. It needs at least $15...

A: Let units purchased for policy A = x units Let unity purchased for policy A = y units

Q: Consider the bases B = {u,, u,} and B' = {u, u,} for R %3D %3D where u, = u, = %3D a. Find the trans...

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Q: 7n + 129 = 45 7n + 45 = 129 %3D 7n 129 = 45 O 7n 7n - 45 129

A: # we are entitled to solve one question at a time , please resubmit the other question if you wish t...

Q: 5. Let f(x) = 2x² + x + 4. It is known that f(1) = 0(mod 7). (i). Find a solution to f(x) = 0(mod 49...

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Q: if xo = 2, x1 = 3 and x2 = 4 the second degree %3| polynomial for f(x) = using Lagrange Interpolatio...

A: Given function is f(x)=12and the nodes are x0=2, x1=3 and x2=4. We have to find second degree Lagran...