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MATH124 CALCULUS II for EngineersLab Section: LQuiz 4(12 pts)February 11, 2015Pleaseprintnames and IDs inink:NSID:Family Name:First Name:Student ID:INSTRUCTIONS:1. Time Limit: 30 minutes3. Closed book. Closed notes. No calculators.2. No cheating.4. Write clearly & legibly.5. Show all your work.1. (4 pts) Find the area of the region bounded by the curvesy=x-x2+ 6 andy=x+ 2.Find the intersection points by settingx-x2+ 6 =x+ 2.
2. (4 pts) Use the most appropriate method to find the volume of the solid of revolution obtained byrotating the region bounded byy= 4x-x2, andy=x2-4x, about the linex= 5.Find the intersection points by setting 4x-x2=x2