Nora makes a rectangular sign for her bedroom door. The sign has an area of 12 square inches. Each side length is greater than 2 inches but less than 7 inches. Identify if the measurement could or could not be a side length of Nora's sign.

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).