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4. In a certain year, a postal service would deliver a first-class letter weighing 3.5 ounces or less for the following prices: not more than 1 ounce, 46¢; more than 1 ounce but not more than 2 ounces, 73¢; more than 2 ounces but not more than 3 ounces, 91¢; and more than 3 ounces but not more than 3.5 ounces, $1.13. Use this information to answer the following. a. Write a piecewise function, P(w), that determines the price P in cents as a func- tion of the weight w in ounces. b. Sketch the graph of P(w). c. Use the information from (a) and (b) to determine the values in the open interval (0, 3.5) that the function is discontinuous.

4. In a certain year, a postal service would deliver a first-class letter weighing 3.5 ounces or less for the following prices: not more than 1 ounce, 46¢; more than 1 ounce but not more than 2 ounces, 73¢; more than 2 ounces but not more than 3 ounces, 91¢; and more than 3 ounces but not more than 3.5 ounces, $1.13. Use this information to answer the following. a. Write a piecewise function, P(w), that determines the price P in cents as a func- tion of the weight w in ounces. b. Sketch the graph of P(w). c. Use the information from (a) and (b) to determine the values in the open interval (0, 3.5) that the function is discontinuous.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. In a certain year, a postal service would deliver a first-class letter weighing 3.5 ounces or less for the following prices: • not more than 1 ounce, 46¢; more than 1 ounce but not more than 2 ounces, 73¢; • more than 2 ounces but not more than 3 ounces, 91¢; and more than 3 ounces but not more than 3.5 ounces, $1.13. Use this information to answer the following. a. Write a piecewise function, P(w), that determines the price P in cents as a func- tion of the weight w in ounces. b. Sketch the graph of P(w). c. Use the information from (a) and (b) to determine the values in the open interval (0, 3.5) that the function is discontinuous.
Transcribed Image Text:4. In a certain year, a postal service would deliver a first-class letter weighing 3.5 ounces or less for the following prices: • not more than 1 ounce, 46¢; more than 1 ounce but not more than 2 ounces, 73¢; • more than 2 ounces but not more than 3 ounces, 91¢; and more than 3 ounces but not more than 3.5 ounces, $1.13. Use this information to answer the following. a. Write a piecewise function, P(w), that determines the price P in cents as a func- tion of the weight w in ounces. b. Sketch the graph of P(w). c. Use the information from (a) and (b) to determine the values in the open interval (0, 3.5) that the function is discontinuous.
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