MATH 230 Midterm: Test 1 fall 2012

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Instructions: show all of your work on the pages provided! Explain your reasoning using complete sentences and correct grammar, spelling, and punctuation. All numerical answers must be exact; e. g. , you should write instead of 3. 14, 2 instead of 1. 414, and 1. Make sure that your nal answer is clearly indicated. Check to make sure you have pages 1 - 11. Calculators, course notes, textbooks, etc. are not allowed. Do not write your name on this exam! Write your netid and your student id number in the spaces provided at the top of this page. Qbxtr is pulling a toy widget through the atmosphere of omicron persei. The widget moves in a straight line starting at point p = (1, 0, 1) and ending at the point. A string hangs between two poles that are 10 m apart. Suspending an object at the center of the string pulls the midpoint of the string down 1 m as in the picture below.