Find the extreme values of the function f(x,y) subject to the given constraint.  f(x, y) = 4x + 6y, x2 + y2 = 13  A) Maximum 36 in (3, 4); minimum 0 at (0, 0) B) Maximum 26 in (2, 3); minimum 0 at (0, 0) C) Maximum 36 in (3, 4); minimum -36 in (-3, -4) D) Maximum 26 in (2, 3); minimum -26 in (-2, -3)

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: Let f(x.y) be a two variable function with fx = y and fy =x. What are the extreme points of f with…

A: we use langrange multiplier method

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 of the function f(x, y) = 4x² + 4y² subject to the constraint z + y – 3 = 0. O f…

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Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y? + z2…

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

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

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Q: If A = {(x, y): (2, -2), (4, -1), (6, 0), . . .}, complete the rule for set A. y= 1/2x - 3 -1/2x -…

A: Observe the given pattern of set A then complete the rule.

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

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Q: Describe the set of points that satisfy  x2 + y2 + z2 - 2x - 4y + 6z = 2

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Q: Let f(x.y) be a two variable function with fy = y and fy =x. What are the extreme points of f with…

A: Please see the explanation below

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

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Q: Find the maximum and minimum values of the function f(x, y, z)=x²y²² subject to the constraint x² +…

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