Determine the maximum and minimum values of f(x,y,z) = 3x + 6y + 2z, subject to 2x^2 + 4y^2 + z^2 = 70

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A: f(x, y, z)=x2+4y2+5z2-6x+8y+3   we have to find all points of x, y, z Taking, ∂f∂x=0, ∂f∂y=0 and…

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Q: Find the critical points of the function f(x,y) = y² + x²y+ x² – 2y and use Second Derivative Test…

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Q: Examine for minimum and maximum values of f(x,y,z)=2xyz-4xz-2yz+x^2+y^2+z^2-2x-4y+4z

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Q: Find the absolute maximum of f(x,y) = 7x²y² + 5y² + 9x² bounded by y = x, y = 0 and x = 2.

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Q: Find the minimum distance from point (2, 5, -1) and plane 3x + 4y + z = 10.

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Q: Find the maximum rate of change of f(a, y, z) tan(6z + 4y + 2z) at the point (- 4, 3, - 6).

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Q: Find the minimum distance from the point (2, –6, 6) to the plane 2x - y + z = 0.

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Q: Find the maximum value that f(x, y, z) = x² + 8y - z² can have on the line of intersection of the…

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Q: does not exist, enter DNE.) f(x, y) = x2 + y2 + 2x - 14y + 9 relative minimum (х, у, 2) - relative…

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Q: Find the orthogonal trajectories for the family of curves. (Enter your solution in the form F(x, y)…

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Q: Find the minimum distance from the cone z = 2x2 + y2 to the point (-6, 4, 0).

A: To find the minimum distance first write distance function. Which is the square distance from  .

Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

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Q: Find the absolute maximum of f(x,y) = 3x2y2 + 2y2 + 2x2 bounded by y = x, y = 0 and x = 5.

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Q: Suppose that f(1, y) = 2z² + 2y – zy Then the minimum is

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Q: : Find fz for f(x, y, z) = xcos(y + 3z) + xyz at the point ( 1,3,-1)

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Q: Find the maximum and minimum attained by f(x, y) = 3xy + 2x + 3y in x2 + y < 1. You must use…

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Q: Find the minimum distance from the cone z = √(x2 + y2) to the point (-6, 4, 0).

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Q: Find fz for f(x, y, z) = xcos(y + 3z) + xyz at the point ( 1,3,-1)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Integrate f(x,y, z) = 2x – 3y² – 2z+3 over the line segment from the origin to (1, 1, 1) and over…

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Q: Find the maximum value of f(x, y) = 4xy(9 – 72x – 9y) over the triangle with vertices -- - (0,0), (5…

A: Given: fx,y=4xy9-72x-9y vertices 0,0 18,00,1

Q: What is the maximum vertical distance between the line y = x + 29 and the parabola y = x² over the…

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Q: Find the maximum value of z=140-x+3y, under the consentrate; x≥0, y ≥0, and  2x+y ≤10, 2x+4y≤28 BE…

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Q: Suppose that f(x, y, z) = 3x + 3y + 4z at which a² + y² + . < 52. 1. Absolute minimum of f(x, y, z)…

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Q: Calculate fz(2, 3, 1), where f(x, y, z) = xyz.

A: Given,          fx,y,z=xyz

Q: Find the minimum distance from the cone z= to the point (6, 6, 0).

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