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Calculus questions, Mathematics

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Show all your work. 80% of your score is for correct justified answers; 20% is for correctly and clearly demonstrating why. For the graphing problems, use www.desmos.com/calculator. Annotate all features of the graphs including maximums and minimums, changes in concavity, intervals of increasing and decreasing, and asymptotes. Show how the various features of the graph were calculated using methods from this class. Well-documented graphs with additional features included that demonstrate the concepts will receive extra credit. As some, perhaps most, of these are complex with many parts, I suggest you decompose each one into parts, solve each part separately, and recombine them at the end either in full or by symbolic reference. Also inverse trigonometric functions are denoted with “arc” preceding them. Thus the inverse of sine is written arcsin.

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