Math 191Problem Set for Week 4 Section1.The region in the first quadrant that is bounded above by the curvey= 1/x1/4, on the left by the linex= 1/16, and below by the liney= 1is revolved about thex-axis to generate a solid. Find the volumeof the solid bya.the washer method.b.the shell method.2.The region shown here is to be revolved about they-axis to generate a solid. Which of the methods (disk,washer, shell) could you use to find the volume of the solid? How many integrals would be required ineach case? Give reasons for your answers.3.y=Rx0tantdt, 0≤x≤π/6.a.Set up an integral for the length of the curve.
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