New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet, glues, and upholstery. Over time the chemicals in these items evaporate into the air at a rate proportional to N. You measured the "new car smell," N(t), as 100 whe purchased and at t = 6 months and there was N(t) = 1. Write and solve the differential equation which describes the amount of new car smell between t = 0 and t = 6 months, where t is measured in months. ON(t) = 100e(-0.99)t ON(t) = 100e(-0.767)t ON(t) = 100e(0.767)t ° N(t) = .99e(-0.767)t

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet, glues, and upholstery. Over time
the chemicals in these items evaporate into the air at a rate proportional to N. You measured the "new car smell," N(t), as 100 when
purchased and at t = 6 months and there was N(t) = 1.
Write and solve the differential equation which describes the amount of new car smell between t = 0 and t = 6 months, where t is
measured in months.
ON(t) = 100e(-0.99)t
○ N(t) = 100e(-0.767)t
ON(t) = 100e(0.767)t
ON(t) = .99e(-0.767)t
Transcribed Image Text:New-cars have a distinctive smell which is caused by the out-gassing of chemicals from the carpet, glues, and upholstery. Over time the chemicals in these items evaporate into the air at a rate proportional to N. You measured the "new car smell," N(t), as 100 when purchased and at t = 6 months and there was N(t) = 1. Write and solve the differential equation which describes the amount of new car smell between t = 0 and t = 6 months, where t is measured in months. ON(t) = 100e(-0.99)t ○ N(t) = 100e(-0.767)t ON(t) = 100e(0.767)t ON(t) = .99e(-0.767)t
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