December 2016
Intermediate to advanced
352 pages
6h 41m
English
Content preview from Calculus II
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PART2
Length, Area, and Volumes
Calculus is really the study of two items—measuring how fast something is changing and accumulating material a little bit at a time. You’ve had a fair amount of experience with the measuring rates of change. In Part 2, we take some time to work on the accumulation. Keep in mind, we are still looking at mathematics through the microscope. That means what might not look like much of a region to the naked eye can be rather formidable when we zoom in on it.
You’re asked to use your imagination when we look at volumes. First, we begin working in a two-dimensional plane but then we rotate figures around vertical and horizontal lines. You then are asked to stand “at the end of the line” and look at a cross section. (Think ...
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