A rescue cable - attached to a helicopter weighs 1,000 lbs. A 200-lb man grabs the cable and is lifted from the ocean into the helicopter. How much work is done in lifting the man out of the water? Give the answer to the nearest whole number. A dome is in the form of a partial sphere, with a hemisphere of radius 40 feet on top and the remaining part of the sphere extending 20 feet to the ground from the center of the sphere. Find the surface area of the dome to the nearest square foot. Use substitution, integration by parts, trigonometric substitution, partial fractions, and the table of anti-derivatives to evaluate definite integrals and indefinite integrals. Use substitution to evaluate the integral of 6r dr (Give your answer in exact form): √(6^2 + 3^12).