Suppose that an object that is originally at room temperature of 32 ° C is placed in a freezer. The temperature T ( x ) ( in ° C ) of the object can be approximated by the model T ( x ) = 320 x 2 + 3 x + 10 , where x is the time in hours after the object is placed in the freezer. a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem? b. A chemist heeds a compound cooled to less than 5 ° C . Determine the amount of time required for the compound to cool so that its temperature is less than 5 ° C .
Suppose that an object that is originally at room temperature of 32 ° C is placed in a freezer. The temperature T ( x ) ( in ° C ) of the object can be approximated by the model T ( x ) = 320 x 2 + 3 x + 10 , where x is the time in hours after the object is placed in the freezer. a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem? b. A chemist heeds a compound cooled to less than 5 ° C . Determine the amount of time required for the compound to cool so that its temperature is less than 5 ° C .
Solution Summary: The author explains how to calculate the horizontal asymptote for the temperature equation given by T(x)=320x
Suppose that an object that is originally at room temperature of
32
°
C
is placed in a freezer. The temperature
T
(
x
)
(
in
°
C
)
of the object can be approximated by the model
T
(
x
)
=
320
x
2
+
3
x
+
10
, where x is the time in hours after the object is placed in the freezer.
a. What is the horizontal asymptote of the graph of this function and what does it represent in the context of this problem?
b. A chemist heeds a compound cooled to less than
5
°
C
. Determine the amount of time required for the compound to cool so that its temperature is less than
5
°
C
.
Find the Laplace Transform of the function to express it in frequency domain form.
Please draw a graph that represents the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?
7
y
6
5
4
3
2
-6-5-4-3-2-1
1+
-2
1 2 3 4 5 6
x + 2y = 8
2x + 4y = 12
The slopes are different, and the y-intercepts are different.
The slopes are different, and the y-intercepts are the same.
The slopes are the same, and the y-intercepts are different.
O The slopes are the same, and the y-intercepts are the same.
Chapter 3 Solutions
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