7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.3: Analyzing Graphs Of Functions
Problem 6ECP
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7) Assume that the temperature of a person during an illness is given by:
T(t):
t2 +1
5t
+ 98.6,
where T
the temperature, in degrees Fahrenheit, at time t, in hours. Find the rate of change of
the temperature with respect to time.
dT
A)
dt
5(1 – t2)
t2 +1
dT
В)
dt
5(t2 – 1)
(12 + 1)2
C) dT - 5(1 – t2)
dt
(t2 + 1)2
dT
D)
dt
2 +1
Transcribed Image Text:7) Assume that the temperature of a person during an illness is given by: T(t): t2 +1 5t + 98.6, where T the temperature, in degrees Fahrenheit, at time t, in hours. Find the rate of change of the temperature with respect to time. dT A) dt 5(1 – t2) t2 +1 dT В) dt 5(t2 – 1) (12 + 1)2 C) dT - 5(1 – t2) dt (t2 + 1)2 dT D) dt 2 +1
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