hw4 - 1. The region bounded by the curve y = 1 + cos x and...

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Fall 2010, MAT21B, Written Homework 4 Due: Wednesday, April 28 lecture time in class Name Student ID Section number TA’s name Instructions. You are required to complete and hand in all three problems. One of these three problems will be randomly picked and graded by our TAs. The homework has totally 10 points. If you turned in a “reasonable (as determined by the TA)” homework showing your hard work, you will automatically get 4 points. The rest 6 points comes from the one problem graded by our TAs. PLEASE clearly write down your NAME, Student ID, SECTION number as well as your TA’s name. Otherwise, your homework will be easily got lost due to the size of the class.
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Unformatted text preview: 1. The region bounded by the curve y = 1 + cos x and the x-axis between 0 x 2 is revolved about the x-axis to generate a solid. Find the volume of the solid. 2. The region bounded above by the curve y = sec( x ), below by y = tan( x ), on the left by the line x = 0, on the right by the line x = 1 is revolved about the x-axis to generate a solid. Find the volume of the solid. 3. Find the volume of the solid generated by revolving about the y-axis the region bounded by the curves y = 3 x +22 x 3 +11 x 2 +4 , the x-axis, and the lines x = 0 and x = 1. 1...
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