3. Find the maximum and minimum values of the function f (x, y, z) = x+ y + z on the ellipsoid x2 + 4y2 +9z2 = 1764 by Lagrange multipliers method.

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 9x² + y² = 6. maximum value=…

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Q: B) Use Lagrange multipliers to find the points on the ellipse 2x2+y? = 1, where f (r, y) = ry has…

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Q: Use Lagrange multipliers to find the maximum area S of a rectangle inscribed in the ellipse x² 16 +…

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Q: Use the method of Lagrange multipliers to find the minimum and maximum values of the function f (x,…

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Q: Use LaGrange multipliers to find the points on the surface 2² = x² + y² which are closest to (4, 2,…

A: Given surface z2=x2+y2 and the point (4,2,0). The objective is to find the points on the surface…

Q: Use the method of Lagrange multiplier to find the largest and least values of h(x, y) = x²y on the…

A: We need to use Lagrange multiplier to solve this problem. h(x, y) = x²y x² + 2y² = 6

Q: Find the equation of the sphere with center c= (0, -1, 2) and radius r= 5. O x2 + y + 1)2 + (z + 2)2…

A: Biref answer is given below.

Q: Use the method of Lagrange multiplier to find the largest and least values of h(x, y) = x2y on the…

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Q: find the distance between spheres  x2+(y-12)2+z2=1 and (x-3)2+y2+(z-4)2=9.

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Q: Use the method of Lagrange multipliers to find the point/s on the parabola y = 3x2 that is/are…

A: Let's find closest point to (0,3).

Q: Find the points on the curve of intersection of the ellipsoid x²+4y²+4z²=4 and the plane x-4y-z=0…

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Q: Use Lagrange Multipliers to find the absolute maximum value and absolute minimum value of the…

A: We have to find absolute maximum and absolute minimum value for the given function.

Q: Use the method of Lagrangian undetermined multipliers to obtain the equations of motion for a…

A: The objective is to use Lagrangian undetermined multipliers to obtain the equations of motion for a…