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2. 12/18 points | Previous Answers SCalcET8 6.4.013.MI My Note A heavy rope, 60 ft long, weighs 0.5 lb/ft and hangs over the edge of a building 150 ft high. (Let x be the distance in feet below the top of the building. Enter xas x,.) (a) How much work W is done in pulling the rope to the top of the building? Show how to approximate the required work by a Riemann sum 30i lim /n Express the work as an integral 60 0.5x Evaluate the integral 900 (b) How much work W is done in pulling half the rope to the top of the building? Show how to approximate the required work by a Riemann sum 0.5 x + 30X Express the work as an integral 30 x + 30 Evaluate the integral 675 ft-lb 3. -/5 points SCalcET8 6.5.509 .ХР The table gives values of a continuous function. Use the Midpoint Rule with three subintervals to estimate the average value fave of fon [20, 50] fave = + x 20 25 30 35 40 45 50 f(x) 45 41 32 30 35 4759 4. +-15 points SCalcET8 7.5.031 Evaluate the integral. (Use C for the constant of integration.) 3 + x 3-х dx

Answer 1

2ー フ 3+7 oL 2 -スー· 22- 3-7 etve