Use the method of Lagrange multipliers to maximize the function subject to the given constraint. f(x, y) = 4 x + 4 y – 2 x – 6 y subject to 8x + 6 y = 7 maximum of ? at (x, y) = (

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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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: Find the minimum and maximum values of the function f(x, y, z) = 5x + 2y + 4z subject to the…

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Q: Find the minimum and maximum values of the function f(x, y, z) = 3x + 2y + 2z subject to the…

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Q: Use Lagrange multiplier to find the maximum and minimum values of the function subject to the given…

A: Find the gradients of f(x,y) and g(x,y), where g(x,y) = 4x2 + 2y2 = 18 Gradient of f(x,y) = (8,2)…

Q: Use the Lagrange multipliers method to find the maximum and minimum values of the function f(x, y) =…

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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: A cellphone manufacturer has developed a profit model that depends on x number of cellphones per…

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Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the…

A: Given function is fx,y,z=5x+6y+4z. We have to find the maximum and minimum of fx,y,z=5x+6y+4z…

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

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Q: Use the Lagrange multiplier method to find the values of and y that minimise the function 2x2 + y²…

A: Let us consider the function f(x,y)  To determine the maximum and minimum value of the function…

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

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Q: Find the minimum and maximum values of the function f(x, y, z) = 3x + 6y + 4z subject to the…

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Q: Maximize the function f(x, y) = 8xy - 3x²-3x - 4y + 10 subject to the constraint 2x + 3y = f(x, y)…

A: According to the given constraint             2x + 3y = 4, 2x = 4 - 3y => x = (4 - 3y)/2…

Q: Use lagrange multipliers to find the max and min values of f(x,y) = 5x-4y subject to the constraint…

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

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Q: 14. The temperature T on the spherical surface x². y² +2²1 satisfies the equation 7(x, y, z)= xz+yz.…

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