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Q: 1. Write the dual for each of the following primal problems: a. Maximize z = 66x₁ 22x2 Subject to…

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Q: Given the following payoff matrix: C C1 C2 C3 6-3 1 0 10 -5 -6 1 0 R r₁ 72 r3 (a) What is the payoff…

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Q: 1. If u(x, y, z) find = 21 v(x, y, z) Jºu əx³əy² əzª x³y³ 25 and ე10 əx¹ Əy¹ əz² and w(x, y, z) Jw…

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Q: HMS solve the following D.F...

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Q: Question 7. - 18 (s - 2)² is btet, where b, c and w are constants and t represents time. The inverse…

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Q: HW: Solve the following D.E. 5 ÿ AJ By +10. z 40.COSA...

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Q: 5. Use projections to find the distance from the point (0, -1, 3) to the plane 2x-3y+z=4. Show your…

A: We have to find the distance from the point (0,-1,3) to the plane 2x-3y+z=4.

Q: 3-Express the number 2345 in base 6. Express the number 2700 in base 16.

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Q: A law firm is run by four partners (A, B, C, and D). Each partner has one vote and decisions are…

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Q: HMS Salve the following....D.F..... 5 ÿ 7.5 3y +10. £. 40.CO.SX... ww

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Q: A small oil company considers the continuous pumping of oil from a well as a continuous income…

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Q: c. Profits of companies. Profits (in lakhs) 0-10 10-20 20-30 30-50 50-80 80-90 90-100 Number of…

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Q: 72. Break-even analysis. Use the revenue function from Problem 70, and the given cost function: R(x)…

A: A) See the graph of both the functions below

Q: Find bases for row(A) and col(A) in the given matrix using AT. 9 0 4 1 4 1 4 8 5 1 8 9 A = 4 -1 3

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Q: 4. If the function f(x, y) is given by f(x, y) use Taylor's formula for f(x, y) to find the…

A: The given problem is to find the quadratic approximation of the given function near point (0,0)…

Q: Prove that the following set has the same cardinality (it's enough to prove it is bijective): - Any…

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Q: Let 2 A = -3 Find the unique solution to the system X' = AX satisfying the initial condition [2¹].…

A: Let X=xy X'=AXA=-320-3X0=-12x0=-1y0=2X'=AX⇒dxdtdydt=-320-3xy⇒dxdtdydt=-3x+2y-3ydxdt=-3x+2y…

Q: 1. Which of the following subsets of R³ are subspaces of R³? The set of vectors of the form b. b…

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Q: Q4. For the f(x)=x²-a, if the initial guess Xo = 2, and the first iteration X₁ =1.875. Find the…

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Q: Prove that 3 divides n³ +2n whenever n is a positive integer.

A: Introduction: Consider a starting point for which the assertion is correct. The proposition is true…

Q: Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great…

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Q: Use spherical coordinates to find the volume of the solid. Solid bounded above by x² + y² + z² = 4…

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Q: Let B be a 500 x 500 matrix. Let A adjoint matrix of B, and M=minor matrix of B. Let Ai,j denote the…

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Q: 4. data: As part of a research project, you need to perform some population studies and find the…

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Q: Let (n) be an unbounded and increasing sequence of real numbers. Prove that (xn) diverges to +∞.

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Q: 7. Explain the difference between round and square brackets when expressing intervals. Use an…

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Q: 3. (Algebra review!) Solve each equation for 2 (i.e. find the roots for each polynomial). Show all…

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Q: Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with…

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Q: Find a non-zero vector w E R4 which is orthogonal to all of the following vectors: -2 2 -2 2 0 −4 -2…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Given that f(x) = 4x + 5 and g(x) = x² - 2x - 5, find (gof)(-7). (gof)(-7)= (Simplify your answer.)

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Q: 4. For the function f(x, y) defined by f(x, y) In (√ (√17x² + 11y²) find fax, fyy and fry. Does f(x,…

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Q: 3_9x². Let f(x) = 5x9x5, x2 1.5. Find the value of df -1 dx at the point x = 49 = f(3).

A: Introduction: We may use this connection to determine derivatives of inverses for functions whose…

Q: 4 Optimization using the gradient What is the largest rectangular prism (in terms of its volume)…

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Q: Consider ϕ: ℤ × ℤ → ℤ defined by ϕ(a,b) = a-b. Given that ϕ is a homomorphism, determine ϕ (ℤ × ℤ).

A: Consider ϕ:ℤ×ℤ→ℤ defined by ϕa, b=a-b.   Given that ϕ is a homomorphism.   To determine: ϕℤ×ℤ

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 8 + xy - x - 2y, D is the…

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Q: apter 6, exercise M.3: Determine the group of auton the group ) C4, -) €6, -) C₂ × C₂, 1) D4, =) the…

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Q: 54 The inverse Laplace transform of s²+36 is Asin(bt), where A and b are constants such that b>0 and…

A: If L[f(t)]=F(s), then f(t) is called inverse Laplace Laplace Transform of F(s),  f(t)=L-1[F(s)]…

Q: 3. BA Let A = (z,y} and B={1,2). Write down each function in the set

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Q: the cost of printing,C, is a function of the nnu,ber of prints, n, the cost of making 100 prints is…

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Q: 70. Revenue. The marketing research department for a company that manufactures and sells notebook…

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Q: Exercise 2 Complete the table of ordered pairs and use it to 2 raph y=-x+8. 3 P y -3 Exercise 3…

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Q: Expenditure items Food Clothing Education Housing Rent Miscellaneous Monthly expenditure (in Rs.)…

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Q: c. Maximize z = X₁ + X2 Subject to Primal Dual Problem 2x1 + x₂ = 5 3x1 - x2 = 6 X1, X2 unrestricted…

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