Fall 2003 Solutions - MATH 115 FIRST MIDTERM EXAM October 8...

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MATH 115 — FIRST MIDTERM EXAM October 8, 2003 NAME: SOLUTION KEY INSTRUCTOR: SECTION NO: 1. Do not open this exam until you are told to begin. 2. This exam has 9 pages including this cover. There are 10 questions. 3. Do not separate the pages of the exam. If any pages do become separated, write your name on them and point them out to your instructor when you turn in the exam. 4. Please read the instructions for each individual exercise carefully. One of the skills being tested on this exam is your ability to interpret questions, so instructors will not answer questions about exam problems during the exam. 5. Show an appropriate amount of work for each exercise so that the graders can see not only the answer but also how you obtained it. Include units in your answers where appropriate. 6. You may use your calculator. You are also allowed 2 sides of a 3 by 5 notecard. 7. If you use graphs or tables to obtain an answer, be certain to provide an explanation and sketch of the graph to make clear how you arrived at your solution. 8. Please turn off all cell phones. PROBLEM POINTS SCORE 1 16 2 5 3 6 4 11 5 12 6 6 7 8 8 10 9 14 10 12 TOTAL 100
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2 The questions on this page are multiple choice. They do not require an explanation. For each question, circle your choice for the correct answer(s). (4 points each part. No partial credit.) (1A.) Let V ( t ) represent the number of thousands of gallons of water in a tank t hours after midnight on a fixed day. Circle the pair of equations below that expresses the following statement: “At 3PM there were 9000 gallons of water in the tank, and the amount of water in the tank was decreasing at the rate of 200 gallons per hour.” (a) V (3) = 9000, V 0 (3) = - 200 (b) V (3) = 9, V 0 (3) = 200 (c) V (15) = 9000, V 0 (15) = - 200 (d) V (15) = 9, V 0 (15) = - 0 . 2 (e) V (15) = 9, V 0 (15) = 0 . 2 (1B.) As x → ∞ , the function f ( x ) = x 3 +3 x +5 2 x 3 - 7 x +6 approaches (a) y = 0 (b) y = 1 2 (c) y = 5 6 (d) y = 1 (e) (1C.) If the product f ( x 0 ) · f 0 ( x 0 ) · f 00 ( x 0 ) > 0, then which of the following is possible? Circle any answer(s) which could be true: (a) The graph is above the x -axis, and is decreasing and concave up. (b) The graph is above the
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Fall 2003 Solutions - MATH 115 FIRST MIDTERM EXAM October 8...

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