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Elementary Calculus - mecmath

ElementaryCalculusMichael Corral0v20gv202gElementary CalculusMichael CorralSchoolcraft CollegeAbout the author:Michael Corral is an Adjunct Faculty member of the Department ofMathematics at School-craft College. He received a in Mathematics from the University of California at Berkeley,and received an in Mathematics and an in Industrial &Operations Engineeringfrom the University of text was typeset in LATEX with theKOMA-Scriptbundle, using the GNU Emacstext editor on a Fedora Linux system. The graphics were created using TikZ and 2015 Michael is granted to copy, distribute and/or modify this document under the terms of theGNU Free Documentation License, Version or any later version published by the FreeSoftware Foundation; with no Invariant Sections, no Front-Cover Texts, and no

Calculus can be thought of as the analysis of curved shapes.1 For example, suppose that an object at rest 100 ft above the ground is dropped. Ignoring air resistance and wind, the object will fall straight down until it hits the ground (see Figure 1.1.1(a)). As will be proved later,

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