Given the objective function and constraint equation, use the Method of Lagrange Multipliers to obtain an optimal solution of the following: y= 20A + 101.5V phi= A(230-47.7/V)-5556 = 0

Q: The following list gives the number of defects found in 30 samples of 100 electronic assemblies…

A: The sum total of all defects is 149

Q: Consider the following IP problem: Minimize Z = 3x₁ - 2x₂ subject to 5x₁7x₂ ≥ 3 x₁ ≤ 3 x₂ ≤3 and x₁…

A: Given Information:Objective function of IP is .Subject to the constraints that,To solve:The IP model…

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Q: L-1 242 using convolution. (s²+4) Exercise 6.3.8: Compute L-1

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Q: 13. (9 points) Let D be the set of finite subsets of positive integers. Let S be the set of all…

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Q: On the extended complex plane, ∞ is the point at the infinity. Find the limit if it exist, or…

A: We  have  to  evaluate  the  value  of the limit : Observe  that

Q: If E is a ring of even integers, then show that an ideal (4), generated by 4 is a maximal ideal of…

A: If E is a ring of even integers, then our claim that an ideal (4), generated by 4 is a  maximal…

Q: Find ALL the analytic functions f(2)=u(x, y) +iv(x,y) defined on D = D = {z € C | |z| < 1} Vz= x+iye…

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Q: A company manufactures Products A, B, and C. Each product is processed in three departments: I, II,…

A: If management decides that the number of units of Product B manufactured must equal or exceed the…

Q: y" − 3y' + 2y = 8 (t — 1), y (0) = 1, y′ (0) = 0

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Q: Maximize Q=xy, where x and y are positive numbers such that 25 x+3² y² = 1. X Write the objective…

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Q: The axes are rotated through an angle of л/3 in the anticlockwise direction with respect to (0, 0).…

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Q: Prove that if A is a symmetric positive definite matrix then its inverse, A−1 , is also symmetric…

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Q: Prove the following equations by induction. In each case, n is a positive integer. a. 1+4+7++ (3n-2)…

A: We are to prove   for all positive integers.

Q: 10. Determine if 00 n=1 (1) (n + 1)3 converges.

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Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter…

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Q: 28. Let u and u be twice-differentiable functions of a single variable, and let c #0 be a con-…

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Q: Let F be a field, and let A € Faxn. Prove the following statements: (a) The characteristic…

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Q: (i) Convergent (j) Convergent (k) Convergent (1) Divergent 6. Determine whether the series is…

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Q: Consider the following. 61 − x = 7 (a) Find the exact solution of the exponential equation in terms…

A: (a) taking logrithm both side(x-1)log(6) = log(7)(x-1)=x= x= x=

Q: Use Proof By Contradiction to show √3 (sqrt of 3) is irrational

A: Use Proof By Contradiction to show √3 (sqrt of 3) is irrational.

Q: 21 and 22 are: a. Same Side Interior Angles b. Alternate Interior Angles c. Alternate Exterior…

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Q: disks or

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Q: Problem #7: Find the least squares solutions of Ax = b and compute the least squares error e = ||b -…

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Q: Consider the following. √√2x-x² 2 So² So 8√√x² + y²dydx. (a) Convert the iterated integral to polar…

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Q: Double your money? Which two will take exactly the same time to double the investment? (Select all…

A: Formula for the accumulated amount A for the investment P after period n with interest rate i is

Q: Let ƒ(z) = f(x + y) = (x² - y² − 2x) +i (2y - 2xy) be a complex function. Where is the function…

A: According to the question,

Q: Prove by induction: If n € N, then n < 2"

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Q: Use the Levi-Civita symbol and Kronecker delta to prove the vector identities: A x (B x C) + Bx (C x…

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Q: Write down the 4×4 3D matrix to scale an object by 50% in all directions.

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Q: a(t) cos(0.5t) + 12, a) Determine the maximum and minimum depths of water in the harbour? b)…

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Q: WE LAPLACE TRAN TO SOLVE THE DIFFE

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Q: 6. Letn be a positive integer. Prove that 1+4+7 + ··· + (3n − 2) : = 3n² 2

A: We do it by principle of mathematical induction.

Q: 11. Evaluate log2 45 a) 4 b) 5 c) 7 d) 10

A: According to guidelines we can solve only first question since these are independent question.please…

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Q: 5. (8 points) Let S4be the set of all strings of 0's and 1's of length 4. Define F:S4 → Znonneg such…

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Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

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Q: This exercise uses the population growth model. A culture starts with 9000 bacteria. After 1 hour…

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Q: what's the dual problem of the following linear program: minimize 10x1 + 8x2 + 5x3 2x1 + 3x2 + x3 ≥…

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Q: professor kafka teaches an advanced probability class, with an enrollment of 11 students. the front…

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