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Unformatted text preview: 16 1 Solutions , with as calculated. The temperature requested is
. 36. The ambient temperature is
. Equation (12) gives
for the temperature at time . Since the initial temperature of the
thermometer is
we get
. Thus
. The
constant is determined from the temperature at a second time:
so
. Thus
, with
.
To answer the ﬁrst question we solve the equation
for . We get
minutes. The temperature at
is
.
37. The ambient temperature is
. Equation (12) gives
for the temperature of the soda at time . Since the initial temperature
of the soda is
we get
. Thus
. The
constant is determined from the temperature at a second time:
. Thus
, with
.
so
The temperature at
is
.
38. The ambient temperature is
. Equation (12) gives
for the temperature of the coﬀee at time . We are asked to determine
the initial temperature of the coﬀee so
is unknown. However, we have
the equations or Dividing the second equation by the ﬁrst gives
From the ﬁrst equation we get so
.
. We now calculate 39. The ambient temperature is
. Equation (12) gives
for the temperature of the beer at time . Since the initial temperature
of the beer is
we get
. Thus
.
The constant is determined from the temperature at a second time:
so
. Thus
, with
. We now solve the equation
for and
get
. She should therefore put the beer in the refrigerator at
p.m.
40. Let us start time
model gives at 1980. Then
. At . The Malthusian growth
(1990) we have ...
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This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.
 Fall '08
 BELL,D

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