Given function f(x,y,z)=x^(2)+2y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2y+z=0. find the extreme value of f(x,y,z)...

Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2*y+z=0. find the extreme value of f(x,y,z) and determine whether it is maximum of minimum.

Expert Solution

milcah answered 2 years ago

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and...

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and x+y−z=9. Maximum value is Maximum value is , occuring at ( , , ). Minimum value is , occuring at ( , , ).

Find the maximum and minimum of the function f(x, y, z) = (x^2)(y^2)z in the region...

Find the maximum and minimum of the function f(x, y, z) = (x^2)(y^2)z in the region D = {(x, y, z)|x^2 + 2y^2 + 3z^2 ≤ 1}.

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)=...

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)= f(-7)=

Find the volume of D= {(x,y,z): x^2+y^2+z^2<_ 4, x _>0, y_>0

Consider the following function: f (x , y , z ) = x 2 + y...

Consider the following function: f (x , y , z ) = x 2 + y 2 + z 2 − x y − y z + x + z (a) This function has one critical point. Find it. (b) Compute the Hessian of f , and use it to determine whether the critical point is a local man, local min, or neither? (c) Is the critical point a global max, global min, or neither? Justify your answer.

Given f(x,y) = 2 ; 0< x ≤ y < 1 a. Prove that f(x,y) is...

Given f(x,y) = 2 ; 0< x ≤ y < 1 a. Prove that f(x,y) is a joint pdf. b. Find the correlation coefficient of X and Y.

Find the maximum of f(x,y)=9-x^2-y^2 subject to x+y=3

4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation...

4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation coefficient ρX,Y . 5. The height of female students in KU follows a normal distribution with mean 165.3 cm and s.d. 7.3cm. The height of male students in KU follows a normal distribution with mean 175.2 cm and s.d. 9.2cm. What is the probability that a random female student is taller than a male student in KU?

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2,...

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2, f(1, 0) = 3, f(1, 1) = 5, f(2, 0) = 5, f(2, 1) = 10. Determine the Lagrange interpolation F(x, y) that interpolates the above data. Use Lagrangian bi-variate interpolation to solve this and also show the working steps.

Given the joint probability density function f(x ,y )=k (xy+ 1) for 0<x <1--and--0<y<1 , find...

Given the joint probability density function f(x ,y )=k (xy+ 1) for 0<x <1--and--0<y<1 , find the correlation--ROW p (X,Y) .

Question

Given function f(x,y,z)=x^(2)+2y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2y+z=0. find the extreme value of f(x,y,z)...

Solutions

Expert Solution

Related Solutions

Find the maximum and minimum values of the function f(x,y,z)=3x−y−3z subject to the constraints x^2+2z^2=49 and...

Find the maximum and minimum of the function f(x, y, z) = (x^2)(y^2)z in the region...

Find f(x) for the following function. Then find f(6), f(0), and f(-7). f(x)=-2x^2+1x f(x)= f(6)= f(0)=...

Find the volume of D= {(x,y,z): x^2+y^2+z^2<_ 4, x _>0, y_>0

Consider the following function: f (x , y , z ) = x 2 + y...

Given f(x,y) = 2 ; 0< x ≤ y < 1 a. Prove that f(x,y) is...

Find the maximum of f(x,y)=9-x^2-y^2 subject to x+y=3

4. The joint density function of (X, Y ) is f(x,y)=2(x+y), 0≤y≤x≤1 . Find the correlation...

Let f(x, y) be a function such that f(0, 0) = 1, f(0, 1) = 2,...

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Question

Given function f(x,y,z)=x^(2)+2*y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2*y+z=0. find the extreme value of f(x,y,z)...

Solutions

Expert Solution

Related Solutions

Given function f(x,y,z)=x^(2)+2y^(2)+z^(2), subject to two constraints x+y+z=6 and x-2y+z=0. find the extreme value of f(x,y,z)...