An object that is heated by a manufacturing process to 90°C is placed into the surrounding air which is 22°C. 20 minutes after being removed from the heater, the temperature of the object is 75°C. Round your answers to 3 decimal places. a. Find a function that gives the temperature of the object at any time, t, in minutes after removal from the heater. P(t) = b. Find the temperature of the object 45 minutes after it is removed form the heater. P (45) °C

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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An object that is heated by a manufacturing process to 90°C is placed into the surrounding air which
is 22°C. 20 minutes after being removed from the heater, the temperature of the object is 75°C.
Round your answers to 3 decimal places.
a. Find a function that gives the temperature of the object at any time, t, in minutes after removal
from the heater.
P(t) =
b. Find the temperature of the object 45 minutes after it is removed form the heater.
P (45)
°C
Transcribed Image Text:An object that is heated by a manufacturing process to 90°C is placed into the surrounding air which is 22°C. 20 minutes after being removed from the heater, the temperature of the object is 75°C. Round your answers to 3 decimal places. a. Find a function that gives the temperature of the object at any time, t, in minutes after removal from the heater. P(t) = b. Find the temperature of the object 45 minutes after it is removed form the heater. P (45) °C
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