The maximum value M and the minimum value m of f(x,y)=x³-2y² subject to the constraint x3+y3=125 are 32 m=-250 27 M=125+ M=125, m=-50 32 m=-250+ 27 32 M=125+ 27 32 m=-250- 27 32 M=125- 27

Q: Use Lagrange Multipliers to find extreme values of the function f(x, y) = 5xy subject to the…

A: We need to use Lagrange multipliers method  given  f(x,y)=5xy constraint  16x2+y2=32

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

Q: Find the minimum value of f(x, y, z) = x² + 2y² + 3z? subject to the constraint x + 2y + 3z = 10.…

A: Consider the given: fx,y,z=x2+2y2+3z2Subject to constraints:x+2y+3z=10gx,y,z=x+2y+3z−10 Use…

Q: Find the maximum possible value of f = 100x +100y and the values of x and y that give that…

A: GIVEN f = 100x +100y we need to find the maximum possible value of f,

Q: Find the minimum value of f (x, y) = xy subject to the constraint 5x - y = 4 in two ways: using…

A:

Q: Find the minimum and maximum values of the function f(x,y)=x^2y+x+y subject to the constraint xy=3.

A:

Q: a. Solve max f(x,y,z) = 3x² + y problem by means of Lagrange multipliers under the constraints of…

A: The Lagrange's multiplier method can be used to calculate the maximum or the minimum value of the…

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

A:

Q: The function f(x,y,z) = 4x+z has an absolute maximum value and absolute minimum value subject to the…

A: By using Lagrange multipliers the solution of given problem is given as follows :

Q: Maximize the function ƒ(x, y, z) = x2 + 2y - z2 subject to the constraints 2x - y = 0 and y + z = 0.

A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

Q: Find the extreme values of f(x, y, z) = x + 2y + 3z subject to the two constraints x + y + z = 1 and…

A:

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

Q: Find the maximum and minimum values of the function z=2x−yz=2x-y subject to the constraints…

A: solution of the given problem is below...

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x² + y? +…

A: Use Lagrange multipliers and find maximum, minimum value.

Q: The minimum value of f(x,y) = x^2y + 3y^2 - y subject to the constraint x^2 + y^2 = 10 is.........?

A: We need to find the minimum value of f(x,y) = x2y + 3y2 - y subject to the constraint x2 + y2 = 10.…

Q: Find the maximum and minimum values of the function f(x, y, z) = yz + xy subject to the constraints…

A: Given problem is extrema f(x, y,z)=yz+xy subject to y2+z2=400xy=9

Q: Find the minimum value of f(x,y)=61x²+6y² subject to the constraint x2+y²=4

A: Minimum value of function is the point on function curve which is lowest on entire curve. Point at…

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

A:

Q: Find maximum and minumum values of f(x, y, z) = 7x - 14y + 35z subject to the constraint x² + y? +…

A:

Q: Consider the equation z = 32x0.°y04 where z, z, y represent the total production, labor input and…

A: Formula used: The equation to be solve by using Lagrange's multiplier method for solving constraint…

Q: Find the values of x, y that maximize 5 - 2x2-2xy-y2 +x+4y 7 subject to the constraint x+y- =0

A: let f=-2x2-2xy-52y2+x+4y x+y-72=0y=72-x substitute y value in f…

Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: Use Lagrange multipliers to find the minimum value of f(z,y) 2+2y subject to the constraint ry= -…

A: Given: f(x, y)=x2+2y2 and g(x, y)=xy-2

Q: Find the maximum and minimum values of the function f(x, y, z)= 3x - y - 3z subject to the…

A:

Q: Find the maximum possible value of f = 400x +300y and the values of x and y that give that…

A: The given LPP: maximize  f=400x+300ysubject to,3x+2y≥62x+y≤7x, y ≥0 Sketch this region and locate…

Q: Find the relative maximum value of ​f(x,y)=3xy​, subject to the constraint x+y=4 Find the relative…

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the minimum value of the function f (x, y) = 16x² +81y² subject to the constraint xy = 1.

A:

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x – y – 3z subject to the…

A:

Q: Find the extreme values of the function subject to the given constraint. f(x, y, z) = (x - 1)2 +…

A: As per company guidelines we are allowed to solve one equation at a time so i am solving first one…

Q: Find the maximum and minimum values of z=6x+3y subject to the constraints 2x+2y is greater than or…

A: From the given statement,

Q: Find the minimum value of f(x,y,z) = x 2 + y 2 + z2 subject to two constraints, x + 2y + z = 3 and x…

A: fx,y,z=x2+y2+z2 Lets solve using substitution method- x-y=4⇒x=4+y…

Q: Find the minimum of the function f(x, y) = x² + y² – xy subject to the constraint 2æ + 2y = 2. Value…

A: We have to find the minimum of the function fx,y=x2+y2-xy subject to the constraint 2x+2y=2.

Q: Find the maximum and minimum values of f (x, y) = xy subject to the constraint 4x + y = 8.

A: We have to find the maximum and minimum values of  the function.

Q: Find the maximum and minimum values of the function f(x, y, z) = 3x - y - 3z subject to the…

A:

Q: Find the minimum value of w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

Q: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

Q: Find the absolute minimum value of the function f(x, y) x+ 4y2 = 9. 2x + 3y subject to the…

A:

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

A:

Q: Find the maximum and minimum values of the function z = 2x – y subject to the constraints x + y 0 y…

A:

Q: Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint 2 + y² + z²…

A:

Q: Find the maximum of V = xyz subject to the constraint 6x+4y+3z-24=0

A:

Q: The function f(x.y.z) = 2x +z has an absolute maximum value and absolute minimum value subject to…

A:

Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

Q: Find the maximum value of the function f(r, y) = x²y subject to the constraint z² +y= 5. %3D

A: We will find maximum value by using Lagrange multipliers.

Q: Find the minimum of the function f(x, y) = 2x² + 2y² subject to the constraint z + y – 1= 0. Value…

A: Here we have to solve the above problem by using Lagranges's multiplier and then differentiate and…

Q: Find the maximum and minimum values of f(x, y, z) = x + y + z subject to the constraints x2 -y2 = z,…

A: The surface is given by f(x, y, z) = x + y + z. The constraints are x2 -y2 = z, x2 + z2 =4. Consider…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.