Math 1A - Fall 2000 - Weinstein - Midterm 2

Math 1A - Fall 2000 - Weinstein - Midterm 2 - Department of...

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Department of Mathematics, University of California, Berkeley Math 1A Alan Weinstein, Fall 2000 Second Midterm Exam, Tuesday, November 7, 2000 (IT’S ELECTION DAY–DON’T FORGET TO VOTE) Instructions. Be sure to write on the front cover of your blue book: (1) your name, (2) your Student ID Number, (3) your TA’s name (Eric Antokoletz, Victor Deletang, Matthieu Hamel, Andre Henriques, Di-An Jan, Chu-Wee Lim, Russell O’Connor, Alf Onshuus, Em- manuel Py, Shahed Sharif, Dan Stevens, Karla Westphal, or Alexander Woo). Read the problems very carefully to be sure that you understand the statements. Show all your work as clearly as possible, and circle each final answer to each problem. When doing a computation, don’t put an “ = ” sign between things which are not equal. When giving explanations, write complete sentences. If you have any extra time at the end of the exam, use it to check your work. 1 . [15 points] Sketch the graph y = x/ (1 + x 2 ) , labeling asymptotes, local extrema, and points of inflection. Mention any symmetries which the graph may have.
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