The maximum value of the function f(r, y) zy-2x on the triangular region R with vertices (0, 0), (6,0), and (0, 6) is: O a. -8 O b. 8 O c. 1 O d. 4 O e. -15 O f. -12

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Q: Find the absolute minimum and maximum values of f(x,y) = 4x^2 + y^2 on the disk x^2 + y^2 <= 1.

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A: Given: f(x,y)=3xy-6x-3y+7   Find: The absolute maximum and minimum values.

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Q: D={(1,y) | + 등아 < 6}. 25

A: Use lagarange multipliers

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A: Given To find the maximum value and the minimum value of the function f(x, y, z) = x + y + z such…

Q: Given the function f(x,y) =4 x – y on the convex region defined by R= {(x,y) : 3x + 3y 0, y > 0}…

A: To find: The maximum value of the function and find the coordinates where the function is maximum.…

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A: For finding the absolute maxima and minima values  Substitute the values of a vertices of a triangle…

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A:

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A: Option b is the correct answer.

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Q: I need help finding the absolute maximum and minimum values of f on the set D.

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A: Given, the function is f(x, y) = x + y -xy on the set D and D is the closed triangular region with…

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A: Maximum value occurs at critical points or on the boundaries of the triangle.

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A: Given: f(x,y,z)=6xyzx+2y+2z and condition is xyz=16

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A: The given function is f(x,y)=xy-y2    ....(1) Let g(x,y)=x2+y2-1=0    ....(2) h(x,y)=x+y-1=0…

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A: We have to find the local minimum of the function f(x,y).

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A: Find out the absolute maximum and minimum values of  f(x,y)=3xy-6x-3y+7 for the maximum and minimum…

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A: Option (C) is correct.

Q: Use Lagrange multipliers to find the point whose coordinates are all positive at which the function…

A: To find - Use Lagrange multipliers to find the point whose coordinates are all positive at which the…

Q: let f (z) = z2 + z find the maximum value of If(z)l A = {z € C:0 < x, y < 2} on the square

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Q: Find the absolute maximum and minimum of f(x,y)= 4xy^2 - (x^2)(y^2) - xy^3 on the closed triangular…

A: f(x,y)=4xy2-x2y2-xy3fx=4y2-2xy2-y3fx=04y2-2xy2-y3=04-2x-y=0…

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A: Consider the equation

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A: Given: function Fx,y=x3-xy+y2-xTo find:Absolute maximum &amp; Absolute minimum of the given function…

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A: It is given that ;                   gx, y = x2+y-112 + x+y2-72   ..............(I) We have to show…

Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 - 7ry.

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Q: Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular…

A: Given:- The function is, f(x,y)=3xy-3x-6y+1on the closed triangular region whose vertices are (0,0),…

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Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 – 7xy.

A: We need to find the local minimum of the equation.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.