43 math question

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MATH 180 FINAL EXAM REVIEW

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38. Find the area of the region bounded by: (Sketch the region)

39. Find the volume of the solid generated by revolving the region bounded by y = 3x – x2 and y = 0

about the y-axis. Include a sketch.

40. Find the volume of the solid generated by revolving the region bounded by 2x – y2 = 0 and x – y =

0 about the y-axis. Include a sketch.

41. Find the volume of the solid generated by revolving the region bounded by y = x2 and x = y2

about the x-axis. Include a sketch.

42. A spring has a natural length of 50 cm. If a 60-N force is required to keep it stretched to a length of

72 cm, how much work is required to stretch it from 50 cm to 65 cm?

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43.