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A homeowner sets the thermostat so that the temperature in the house begins to drop from 45 °F at 1 p.m., reaches a low of 30 °F during the night, and rises back to 45 °F by 11 p.m. Suppose that the temperature in the house is given by T(t) = 0.6t² − 6t + 45 for 0 ≤ t ≤ 10, where t is the number of hours past 1 p.m. Find the instantaneous rate of change of the temperature at 6 p.m. Provide your answer below: °F per hour

A homeowner sets the thermostat so that the temperature in the house begins to drop from 45 °F at 1 p.m., reaches a low of 30 °F during the night, and rises back to 45 °F by 11 p.m. Suppose that the temperature in the house is given by T(t) = 0.6t² − 6t + 45 for 0 ≤ t ≤ 10, where t is the number of hours past 1 p.m. Find the instantaneous rate of change of the temperature at 6 p.m. Provide your answer below: °F per hour

Calculus: Early Transcendentals
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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Question A homeowner sets the thermostat so that the temperature in the house begins to drop from 45 °F at 1 p.m., reaches a low of 30 °F during the night, and rises back to 45 °F by 11 p.m. Suppose that the temperature in the house is given by = 0.6t²6t+45 for 0 ≤ t ≤ 10, where t is T(t) the number of hours past 1 p.m. Find the instantaneous rate of change of the temperature at 6 p.m. Provide your answer below: F per hour
Transcribed Image Text:Question A homeowner sets the thermostat so that the temperature in the house begins to drop from 45 °F at 1 p.m., reaches a low of 30 °F during the night, and rises back to 45 °F by 11 p.m. Suppose that the temperature in the house is given by = 0.6t²6t+45 for 0 ≤ t ≤ 10, where t is T(t) the number of hours past 1 p.m. Find the instantaneous rate of change of the temperature at 6 p.m. Provide your answer below: F per hour
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