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74. Heating Costs In colder climates the cost for natural gas to heat homes can vary from one month to the next. The polynomial function P(x) = -0.1213xt + 3.462r³ – 29.22x² + 64.68r + 97.69 models the monthly cost in dollars of heating a typical home. The input x represents the month, where x = 1 corresponds to January and x = 12 represents December. (Source: Minnegasco.) (a) Where might the absolute extrema occur for 1

74. Heating Costs In colder climates the cost for natural gas to heat homes can vary from one month to the next. The polynomial function P(x) = -0.1213xt + 3.462r³ – 29.22x² + 64.68r + 97.69 models the monthly cost in dollars of heating a typical home. The input x represents the month, where x = 1 corresponds to January and x = 12 represents December. (Source: Minnegasco.) (a) Where might the absolute extrema occur for 1

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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74. Heating Costs In colder climates the cost for natural gas to heat homes can vary from one month to the next. The polynomial function P(x) = -0.1213xt + 3.462r³ – 29.22x² + 64.68r + 97.69 models the monthly cost in dollars of heating a typical home. The input x represents the month, where x = 1 corresponds to January and x = 12 represents December. (Source: Minnegasco.) (a) Where might the absolute extrema occur for 1<x< 12? (b) Approximate the absolute extrema and interpret the results.
Transcribed Image Text:74. Heating Costs In colder climates the cost for natural gas to heat homes can vary from one month to the next. The polynomial function P(x) = -0.1213xt + 3.462r³ – 29.22x² + 64.68r + 97.69 models the monthly cost in dollars of heating a typical home. The input x represents the month, where x = 1 corresponds to January and x = 12 represents December. (Source: Minnegasco.) (a) Where might the absolute extrema occur for 1<x< 12? (b) Approximate the absolute extrema and interpret the results.
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