The function f(x,y,z) = 4x+z has an absolute maximum value and absolute minimum value subject to the constraint 2x +y + 3z? = 32. Use Lagrange multipliers to find these values. The absolute maximum value is

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 maximum value of Q(x) = -2x + 10x3+4x1x2 subject to the constraint x² + x3 = 1. answer…

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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: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: I have to find the maximum and minimum.

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Q: Let f(x)=3(x+2)(x+3). What are the coordinates of the vertex?

A: X coordinate of the vertex=-b/2a Y coordinate of the vertex=putting value of x coordinate in f(x).

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: Find the maximum and minimum values of the function f with constraint 64(x² + y²) ≤ 3.

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Q: The function f(x)= 2x² + bx+c has a minimum value of 4 and an axis of symmetry x= V3. Determine the…

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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: Maximize xy, subject to the constraint x² - y = 3. 1. List the point (s) where this maximum occurs:…

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Q: Find the minimum value ofx +y +z² given x+y+z=3a.

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Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Let h(z) = -2z 2 + 12z + 3. Complete the square and find the maximum value of h.

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