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Suppose X,y, and z are positive functions of r. If z^2=x^2+y^2, dx/dt=2 and dy/dx=3, find dz/dt when X=5 and y=12

Suppose X,y, and z are positive functions of r. If z^2=x^2+y^2, dx/dt=2 and dy/dx=3, find dz/dt when X=5 and y=12

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