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Unformatted text preview: Math 10B. Interactive Examples. † Text: Chapter 5 “Most of calculus is easy, once you figure it out.” As you work through these interactive examples, write out as complete and accurate a response to each step as you can before you read the response given on the web site. Your goal should be to figure out the reasoning behind the solutions, rather than just to learn the solutions. Feel free to e-mail me if you have any questions or suggestions. Al Shenk ([email protected]) Text: Section 5.1 Web: Section 6.1 Example 1 (a) A man runs with the constant velocity of 200 yards per minute for three minutes and then with the constant velocity of 300 yards per minute for five minutes. How far does he run? (b) Draw the graph of his velocity v = v ( t ) and use it to give a geometric interpretation of the result of part (a). Example 2 (a) A kite that is initially 250 feet above the ground is allowed to rise at the constant rate of 100 feet per minute for two minutes. Then it is pulled down for three minutes with its height decreasing at the constant rate of 50 feet per minute. Where is the kite at that time? (b) Draw the graph of the upward velocity...
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- Spring '08
- Derivative, web site, Riemann sum