Using Lagrange multipliers method find the extreme point of the following function min f = x₁² + x² + 40x₁ + 20x₂ Subjected to X₁ + x₂ = 100

Q: 1. minimise z = X1X2 + x3 .2 subject to x + xž + x = 1

A: Minimize z=x1x2+x3 Subject to the constraint x12+x22+x32=1. Let us solve the problem using…

Q: Q4/ Find the absolute maxima and minima of the function on D, where f(x, y) = x2 + y2 +x?y+4 and D =…

A: We will find out the required absolute maxima and minima.

Q: Use Golden-Section search method to find the maximum value of the function f(x) = 3x-x²-e* +5. Use…

A: Given,f(x)=3x-x2-ex-2+5xl=-2 , xu=4 , ξs=0.000005To find: Maximum value of f(x) using Golden-Section…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: Find domain and range of the * function y = Vx2 – 4x

A: To find the domain and range of  y=√(x²-4x)

Q: Find all the x-coordinate(s) of all relative maximums and minimums of the function…

A: f(x)=(x+5)8(x-10)7 To find out maximum or minimum we take derivative with respect to x…

Q: Toy's company has a factory that produces toy trucks and toy cars. The total number of toys the…

A: Given: A toy's company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: Consider function y = 4x divided by x2 + 3 Determine all relative and absolute maxima and minima…

A:

Q: The number of thousand mp3 players produced per month by a certain manufacturer t months after the…

A: Given :- The number of thousand mp3 players produced per month by a certain manufacturer t months…

Q: Find the absolute maximum value and absolute minium value, if any, of the function f(x)=-x^2+4x+4 on…

A:

Q: Determine all local optimum points and all inflection points of f(x) = 15x* + 8x³ – 18x² + 1.

A: f(x)=15x4+8x3-18x2+1 First we need to find stationary points. At stationary point, df(x)dx=0.…