Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x² 5x + 6y + 3y: む= y=

Q: Find all local maximum and minimum points of ƒ = 2x² − xy + y² − 5x + 6y – 9.

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Q: 5) Find the absolute minimum and maximum points of the function f(x, y) = 2x²y + x² - 2y-1 over the…

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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 x-component of the minimum point of the function in the picture?

A: Given  z=x2+xy+y2-y ∂z∂x=2x+y On putting,  ∂z∂x=0 ⇒2x+y=0 ---> eqn(1) Now, ∂z∂y=x+2y-1 On…

Q: The weekly revenue realized by a company is approximated by the revenue function R(x, y) = 550x +…

A: The weekly revenue realized by a company is approximated by the revenue function R(x, y) = 550x +…

Q: The domain of

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Q: Find the maximum value attained by the function x² + xy + y² on the set {(x, y) : x² + y² < 2}.

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Q: express the extreme value theorem for functions of two variables . find the absolute maximum and…

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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: p=22 Y=1500 ду p=22 Y=1500 p=22 Y=1500

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Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

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Q: If f(x) = x3 – 6x² + 9x + 15 then the minimum value of f(x) over the interval [0, 6] is

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Q: If (1,7) is both a critical point and a point of inflection for the function 3 2 f(x)=x²- cx² - 3dx²…

A: fx=x4-cx3-3dx2+5x+5

Q: If f(x, y) then is given by: 7(7x-6y) 12 (7x–6y)3 12 - 3 (7x-6y)³ 14

A: we will partially differentiate the function twice

Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: Find the maximum value of z = xy² subject to 2x2 + y² = 864; x ≥ 0, y ≥ 0.

A: z=xy22x2+y2=864y2=864-2x2x≥0y≥0

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: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

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

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Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: 1. The functions fi(x) = 4x, f2(x) = x² + 6x, and fз(x) = 4x² + 12x do not form a linearly…

A: Step 1:  Step 2: Step 3: Step 4:

Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

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