7) Assume that the temperature of a person during an illness is given by: T(t) = t2 +1 5t + 98.6, in hours. Find the rate of change of where T = the temperature, in degrees Fahrenheit, at time the temperature with respect to time. dT _ 5(1 – t2) t2 +1 dT _ 5(t2 - 1) A) dt B) dt (12 + : + 1)2 dT C) dt 5(1 – t2) (t2 + 1)2 dT D) dt %3D t2 +1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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7) Assume that the temperature of a person during an illness is given by:
T(t)
5t
+ 98.6,
t2 +1
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)
dT
B)
dt
(12 + 1)2
5(t2 - 1)
t2 +1
dT
C)
dt
5(1 – t2)
(1
+ 1)2
dT
D) -
dt
t2 + 1
Transcribed Image Text:7) Assume that the temperature of a person during an illness is given by: T(t) 5t + 98.6, t2 +1 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) dT B) dt (12 + 1)2 5(t2 - 1) t2 +1 dT C) dt 5(1 – t2) (1 + 1)2 dT D) - dt t2 + 1
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