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Mathematics
Problem
The temperature
T
T
T
(in
∘
C
^{\circ}\text{C}
∘
C
) of a reaction mixture after
t
t
t
minutes is given by
T
(
t
)
=
20
+
5
ln
(
1
+
2
t
)
.
T(t)=20+5\ln(1+2t).
T
(
t
)
=
20
+
5
ln
(
1
+
2
t
)
.
Determine the average rate of change of the temperature over the interval
2
≤
t
≤
6
2\le t\le 6
2
≤
t
≤
6
minutes. a)
1.11
∘
C
/
min
1.11\ ^{\circ}\text{C}/\text{min}
1.11
∘
C
/
min
b)
1.38
∘
C
/
min
1.38\ ^{\circ}\text{C}/\text{min}
1.38
∘
C
/
min
c)
0.80
∘
C
/
min
0.80\ ^{\circ}\text{C}/\text{min}
0.80
∘
C
/
min
d)
1.19
∘
C
/
min
1.19\ ^{\circ}\text{C}/\text{min}
1.19
∘
C
/
min
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