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?
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
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