Class_Notes_3.4

Class_Notes_3.4 - Guiding Problem 1 An object is propelled...

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Section 3.4 Class Notes Quadratic Models Hints for Applications Problems 1. Understanding the problem statement is the key to setting up variables and finding an appropriate function to analyze. 2. Organize the problem information in the following way. List the fixed quantities, list the variable quantities, describe how the variable quantities are related (using a function), describe what is required to address the problem. 3. Look back when you finish solving the problem to evaluate what strategies helped you and whether you might use those strategies again for future problems. (Did you draw a picture, make a graph, set up a table of ordered pairs, experiment with the numbers? Might some other strategy have worked better?)
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Unformatted text preview: Guiding Problem 1 An object is propelled straight upward from a height of 6 feet with an initial velocity of 32 feet per second. The height at any time t is given by ( 29 2 16 32 6 s t t t = -+ + where ( 29 s t is measured in feet and t in seconds. Find the maximum height attained by the object. Guiding Problem 2 A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions will produce a maximum enclosed area? Guiding Problem 3 The revenue function for a new plasma television is given by ( 29 2 900 0.1 R p p p =-. What price, p , should be charged to maximize revenue? What is the maximum revenue? Answers: 1. 22 feet 2. 1 3 50ft 33 ft . 3. $4500; $2,025,000...
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Class_Notes_3.4 - Guiding Problem 1 An object is propelled...

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