# Calc questions show all work

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Please see attached file. (asymptotes, Min/Max, Inflections points, behavior of the graph of the function, antiderivatives.

Please show all of your work. If you are making use of a particular property

or theorem, be sure to state/show that the hypotheses are satisfied.

MET CS 546B HA Homework 3 Due on 6/12 Please show all of your work in order to receive full credit. If you are making use of a particular property or theorem, be sure to state/show that the hypotheses are satisfied. All work must be neatly written (or typeset if you choose to do so) and stapled. 1. For the function f (x) = (x + 1)ex , find the following: (a) Horizontal or vertical asymptotes, if any. (b) Points of maximum and minimum and the value of the function at these points. (c) Inflections points and the value of the function at those points. (d) Describe the behavior of the graph of the function, using the above information you discovered. For R 2. R 3. R 4. R 5. questions (2)-(5), find the antiderivatives of the following functions: −9 dx. 5x dx. 3x3 + x − 1 dx. e2x dx. 6. Evaluate the following definite integral: Z 2 2x2 − x + 1 dx. 1 7. Find the area under the curve y = 1 − x2 on the interval [− 21 , 12 ].

vmohanakumar
School: University of Maryland

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