Let T(x, y, z) = 100 + x + y represent the temperature at each point...

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Let T(x, y, z) = 100 + x² + y² represent the temperature at each point on the sphere x² + y² + z² = 50. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the planex - z = 0. Let T(x, y, z) = 100 + x² + y² represent the temperature at each point on the sphere x² + y² + z² = 50. Use Lagrange multipliers to find the maximum temperature on the curve formed by the intersection of the sphere and the planex - z = 0.

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We want to find the maximum temperature on the curve formed by the intersection of the sphere x2 y2 z2 50 and the plane x z 0 First we need to convert ... View the full answer