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A4 - Math 128 Math 128 ASSIGNMENT 4 Volume arclength area...

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Math 128 ASSIGNMENT 4: Volume, arclength, area Winter 2011 Due at 8:25 am on Wednesday, February 2 nd in the correct drop slot across from MC4066 or in class depending on your instructor’s preference. Assignments put into the wrong drop slot will not be marked. ‘Warm up’ exercises: Not to be submitted, but we recommend you try these first. Answers are in the back of the text. From the text, exercises 6.1 # 1, 3. Part A (answer only): Submit your answers (not full solutions) using the template provided on the last page of this assignment, which you can print or hand-copy. From the text, exercises 6.1 # 2, 4, 6.2 # 2, 6, and 6.3 # 4. Part B (full solution): All solutions must be clearly stated and fully justified. Be sure to show a ‘typical element’ and explain the sum/limit procedure briefly — see the example on the next page, showing a model solution. 1. A parabolic lens is formed by rotating the shaded region about the x -axis. The equations of the parabolas are y 2 = x and y 2 = 2( x - 2). Find the volume of glass that is required.
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