Find the maximum and minimum values of the function f(x, y,z)=x2y2z2 subject to the constraint x2+y2+z2=225. Maximum value is , occuring at points (positive integer or "infinitely many"). Minimum value is , occuring at points (positive integer or "infinitely many").

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).