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(Solved) Let T(x,y,z)=100+x^2+y^2 represents the temperature at each point on the sphere x^2+y^2+z^2=50. Find the maximum temperature on the curve formed

Question: Let \(T\left( x,y,z \right)=100+{{x}^{2}}+{{y}^{2}}\) represents the temperature at each point on the sphere \({{x}^{2}}+{{y}^{2}}+{{z}^{2}}=50\). Find the maximum temperature on the curve formed by the intersection of the sphere and the plane \(x-z=0\)

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