7. As you travel from Detroit in a certain direction, the outside temperature, T (in degrees), depends on your distance, d (in miles), from Detroit. For a particular 100-mile trip, the temperature was given by the function T(d)= \d +30 degrees. a. What was the total change in temperature from the beginning of the trip to the end of the trip? b. What was the average rate of change of the temperature, with respect to distance, from the beginning of the trip to the end of the trip? c. At what rate, was the temperature changing, with respect to distance, at d = 4 miles? d. At what rate was the rate of change of the temperature changing, with respect to distance, at d = 4 miles?
7. As you travel from Detroit in a certain direction, the outside temperature, T (in degrees), depends on your distance, d (in miles), from Detroit. For a particular 100-mile trip, the temperature was given by the function T(d)= \d +30 degrees. a. What was the total change in temperature from the beginning of the trip to the end of the trip? b. What was the average rate of change of the temperature, with respect to distance, from the beginning of the trip to the end of the trip? c. At what rate, was the temperature changing, with respect to distance, at d = 4 miles? d. At what rate was the rate of change of the temperature changing, with respect to distance, at d = 4 miles?
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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Transcribed Image Text:7. As you travel from Detroit in a certain direction, the outside temperature, T (in
degrees), depends on your distance, d (in miles), from Detroit. For a particular
100-mile trip, the temperature was given by the function T(d)= Vd + 30 degrees.
a. What was the total change in temperature from the beginning of the trip to the end
of the trip?
b. What was the average rate of change of the temperature, with respect to distance,
from the beginning of the trip to the end of the trip?
c. At what rate, was the temperature changing, with respect to distance, at
d = 4 miles?
d. At what rate was the rate of change of the temperature changing, with respect to
distance, at d = 4 miles?
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