Question: Let T(x, y, z) = 100 + x + y represent the temperature at each point on the sphere x + y + z
Let T(x, y, z) = 100 + x + y represent the temperature at each point on the sphere x + y + z = 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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