1 Find the arc length for the curve defined by y=x23 over the x-interval [0,8] 2. Turn in: Clearly construct two integrals to find the arc length of y=-Inx for ye [0,2] as shown. One with respect to dx and the other with respect to dy, but you do not need to evaluate the integral. 3 3. Turn in: A spring initially at rest. The amount of work required to stretch the spring 3 inches is measured to be 1800 in-lb. Determine the spring stiffness constant k. www m x 4. Turn in: On a small moon with a radius of 1100 miles, the attraction force acted on a rocket 2.42x106 sitting on a launch pad is found to be F: -lb. Determine the work done to lift the rocket to an orbit 50 miles above the surface. 5. Turn in: A semi-hemispherical tank of radius =10 ft is currently full of a liquid with density p=56 lb/ft. You wish to transfer the entire tank by pumping the liquid to a point 2 ft above the top of the tank. Determine the amount of work done.