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Prole! # 5 A spring has a natural length of 13 inches. The spring has the following property: if a force of 20 lbs is applied= the springs length becomes 24 inches. 'Whet is the work required to stretch the spring 'orn a length of El inches to a length of 26 inches? Prole: # t5 A cable that weighs % poundffoot is lifting a load of 150' pounds that is initiall},F at the bottom of a 50 feet shaft. How much work is required to lift the load NIH- of the we}r up the shaft? Prole: # 3" Determine the length of y = 2 - x; on x [(1,113] Prole: # 3 Find the center of rnass for the region bounded by y = 4 x2 that is in the rst quadrant. Problem # 9 Rotate the region bounded by x = 3,2 6}? + it] and x = 5 about the y-axis