1. Find the local minima and maxima for f(x, y, z)=x+y+z, subject to the constraints x? –-y² = 1, 2x+z=1.

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: Maximize B=xy2​, where x and y are positive numbers such that x+y2=10.

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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: What is the maximum value of the function f(x, y) = 4 – x² – 2y? subject to the constraint 2 + y? =…

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Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

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Q: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy +…

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find…

Q: Find the extreme values of the function f(x,y,z) = x4 + y4 + z4, subject to the constraint x2 + y2 +…

A: Given,  f(x,y,z) = x4+ y4 + z4,  Subject to the constraints  g(x,y,z)= x2 + y2 + z2 =1. Now we find…

Q: Find points on the straight line segment joining (-3,-1) and (3, 2) wher the function f(x, y) = xy²…

A: Find equation of line joining two points

Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

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

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Q: f minimum nction 13x L 6

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Q: We know that f(x, y, z)= x³- 9x² + y² + z² +24x-4z +20. Determine the optimum value of the function…

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Q: Maximize P = 18x1 +X2 2x1 +X2 54 X1 + 8x2 54 X1, X2 20 subject to

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Q: 2. The Minimum point of y = 8x+4 (x-2)²

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