Use Newton’s Law of Cooling, T = C + ( T 0 − C ) e k t , to solve exercise 47-50. A pizza removed from the oven has a temperature of 450°F. It is left sitting in a room that has a temperature of 70°F. After 5 minutes, the temperature of the pizza is 300°F. a. Use Newton’s Law of Cooling to find a model for the temperature of the pizza, T, after t minutes. b. What is the temperature of the pizza after 20 minutes? c. When will the temperature of the pizza be 140°F?
Use Newton’s Law of Cooling, T = C + ( T 0 − C ) e k t , to solve exercise 47-50. A pizza removed from the oven has a temperature of 450°F. It is left sitting in a room that has a temperature of 70°F. After 5 minutes, the temperature of the pizza is 300°F. a. Use Newton’s Law of Cooling to find a model for the temperature of the pizza, T, after t minutes. b. What is the temperature of the pizza after 20 minutes? c. When will the temperature of the pizza be 140°F?
Solution Summary: The author calculates the temperature of the pizza, T, after t minutes by using Newton's law of Cooling.
Use Newton’s Law of Cooling,
T
=
C
+
(
T
0
−
C
)
e
k
t
, to solve exercise 47-50.
A pizza removed from the oven has a temperature of 450°F. It is left sitting in a room that has a temperature of 70°F. After 5 minutes, the temperature of the pizza is 300°F.
a. Use Newton’s Law of Cooling to find a model for the temperature of the pizza, T, after t minutes.
b. What is the temperature of the pizza after 20 minutes?
c. When will the temperature of the pizza be 140°F?
Write an equation for the graph shown below.
5
4
3
2
1
-5-4-3-2-1
-1
1 2 3 4 5
f(x) =
-2
-3
-4
-5
1. We want to graph the function
f(x) log4 x. In a table below,
=
find at three points with nice
integer y-values (no rounding!) and
then graph the function at right. Be
sure to clearly indicate any
asymptotes. (4 points)
3
2
1-
-1
0
1
2
3
4 5
10
X
log4(x)
-1
-2
-3-
6 7
8
00
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