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 ( , , ).

Expert Solution

milcah answered 2 years ago

Use Lagrange Multipliers to determine maximum and minimum. f(x,y,z)=(3x^2)+(3y^2)+(3z^2) subject to xyz=2

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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}.

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7. Find the maximum and minimum of the function. f (x, y) = x^ 2 +...

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Problem 2 Find the locations and values for the maximum and minimum of f (x, y) = 3x^3 − 2x^2 + y^2 over the region given by x^2 + y^2 ≤ 1. and then over the region x^2 + 2y^2 ≤ 1. Use the outline: INSIDE Critical points inside the region. BOUNDARY For each part of the boundary you should have: • The function g(x, y) and ∇g • The equation ∇f = λ∇g • The set of three equations...

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