The funcHon fixiy) FHxy has an absdute max value and absolute min value subsict to the constraint x?+y?-Xy=D9. use Lagrange multiplièrs to find these values .

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: Find the line y = mx + b that best approximates the data points (0, 0), (1, 2), (2, 1) in the sense…

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Q: Solve the following linear programming problem. Maximize: z= 18x +7y subject to: 2x + 8y s 16 9x +…

A: Solution: Given information: The given LPP is Maximize : z = 18x + 7y Subject to :- 2x +8y ≤ 16…

Q: x2 + 5x + 8 if x 1 on the interval (-2, 3]. The maximum value is and the minimum value is

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Q: Find the maximun and minimun of P= 4x + 3y subject to:…

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Q: Show that the rectangle which has maximum area for a given perimeter is a square.

A: This problem can be solved by expressing the area of the rectangle as a function of single variable…

Q: I have to find the maximum and minimum.

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Q: Find the minimum of Q = x2 + y2 if x + y = 6.

A: To find the minimum of Q=x2+y2,if x+y=6. Solution: given, x+y=6⇒y=6-x   ...(1)⇒Q=x2+y2⇒Q=x2+(6-x)2…

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

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Q: Please help explain how to do this lagrange multiplier to find the max and min?

A: We need to find the max and min values of the given function subject to the given constraints. Here,…

Q: Find the maximum and minimum of ?(?, ?) = 5? − 3?, subject to the constraint ?^ 2 + ?^ 2 = 136.

A: The objective of this question is to find the maximum and minimum values of the function f(x, y) =…

Q: Use Lagrange multipliers to find the extreme values subject to the constraint please.

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Q: Write the application of Deravative" Linear approximation" also explain in detail with example.…

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Q: Maximize: z=2x1+x2 subject​ to: x1+4x2 ≤ 12   2x1+5x2 ≤ 2   x1+6x2 ≤ 4 with x1≥0, x2≥0.   A.The…

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Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: Using lagrange multiplier method we can easily obtained maximum or minimum value of a function for…

Q: State the rules used for unconstrained (regular) optimization and for constrained optimization.

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Q: Find the maximum value of P where P = 5x 2y subject to the constraints x 2, y 10. 4, x + y (Fill in…

A: Find maximum value P.

Q: Find the minimum of ?(?, ?, ?) = ? ^2+y^2+z^2 subject to the two constraints 2 ? + ? + ? = 1 and 2?…

A: The objective of this question is to find the minimum of the function f(x, y, z) = x^2 + y^2 + z^2…

Q: Fixsy)ニメーーツ coustalaト: xty?こ4

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Q: do f() dr where f() = - sin o + sin o cos o = sin ø(y cos o- 1).

A: Given dϕdr=fϕwhere fϕ=-sinϕ+γsinϕcosϕ=sinϕγcosϕ-1

Q: Find the maximum or minimum of the function. -2n² + 14n + 4 m = - X State whether this value is a…

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Q: maximize 2x₁ + ₂-3 subject to 4r₁ + x₂ + 3x3 ≤ 1, -21₂ +13 ≤ 11, 4x2+2x3 = -7, ₁ unrestricted, X₂ ≤…

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Q: How to rewrite X1^2 - 4X2 <= 3, into an SOCP constraint?

A: Inequality : x12-4x2≤3

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.