(1 point) Book Problem 8 Let V be the volume of the solid S obtained by...
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(1 point) Book Problem 8 Let V be the volume of the solid S obtained by rotating about the y-axis the region bounded by y = 4x and y = 22. Find V both by slicing and by cylindical shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V = .b Therefore V = (B) The method of slicing from Sec(7.2): The volume V = fa Thus the volume V = and the height of this shell = dx, where a = and b = dy, where a = and b = (1 point) Book Problem 8 Let V be the volume of the solid S obtained by rotating about the y-axis the region bounded by y = 4x and y = 22. Find V both by slicing and by cylindical shells: (A) The method of cylindrical shells: The circumference of a typical shell = The volume V = .b Therefore V = (B) The method of slicing from Sec(7.2): The volume V = fa Thus the volume V = and the height of this shell = dx, where a = and b = dy, where a = and b =
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