summerMidterm.pdf - Math 51 Midterm Summer 2019 SUNet ID Name • Complete the following problems In order to receive full credit please show all of

summerMidterm.pdf - Math 51 Midterm Summer 2019 SUNet ID...

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Math 51 Midterm Summer 2019 Name: SUNet ID: Complete the following problems. In order to receive full credit, please show all of your work and justify your answers. You do not need to simplify your answers unless specifically instructed to do so. You may use any result discussed in class or the text, but clearly state the result before using it, and verify that the hypotheses are satisfied. Please check that your copy of this exam contains 4 blank pages (labeled at the bottom by lower- case Roman numerals, starting with “ii”), followed by 8 pages of exam questions (numbered in the upper-right corners), and one blank page at the end. Please verify that your exam is adequately stapled. You have 80 minutes. Your organizer will signal the times between which you are permitted to be writing, including anything on this cover sheet, and to have the exam booklet open. When you are finished, you must hand your exam paper to a member of teaching staff. This is a closed-book, closed-notes exam. No electronic devices (including cellphones, headphones, and calculation aids) will be permitted for any reason. Paper not provided by teaching staff is prohibited. If you need extra room for your answers, use one of the blank pages provided at the front, and clearly indicate that that your answer continues there.
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