Avalanche researchers have collected data to model the air temperature profile justabove the snow surface over a period of several hours on a particular day:T(t)=1- (tª – 40t² + 144)80where t is time in hours on a practical domain [0,5] from midnight and T is thetemperature in degrees Celsius. Answer the following questions. What is the air temperature at midnight? Express as a decimal to the nearest tenth:A/When is the air temperature at freezing?A/During what time interval, in the practical domain, is the air temperature abovefreezing?A/During what time interval, in the practical domain, is the air temperature belowfreezing?A/What is the maximum temperature on the practical domain? Enter your answer as adecimal to the nearest tenth.A/On what time interval, in the practical domain, is the temperature increasing? For adecimal, express your answer to the nearest tenth.A/

Answered: Avalanche researchers have collected…

Avalanche researchers have collected data to model the air temperature profile just above the snow surface over a period of several hours on a particular day:

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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Question

Transcribed Image Text:Avalanche researchers have collected data to model the air temperature profile just above the snow surface over a period of several hours on a particular day: T(t) = 1 - (tª – 40t² + 144) 80 where t is time in hours on a practical domain [0,5] from midnight and T is the temperature in degrees Celsius. Answer the following questions.

What is the air temperature at midnight? Express as a decimal to the nearest tenth:
A/
When is the air temperature at freezing?
A/
During what time interval, in the practical domain, is the air temperature above
freezing?
A/
During what time interval, in the practical domain, is the air temperature below
freezing?
A/
What is the maximum temperature on the practical domain? Enter your answer as a
decimal to the nearest tenth.
A/
On what time interval, in the practical domain, is the temperature increasing? For a
decimal, express your answer to the nearest tenth.
A/

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