Suppose than an object that is originally at room temperature of 30 Celsius is placed in a freezer. The temperature T (x) of the object can be approximated by the model T (x) = 360 / xˆ2 + 4x + 12, 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 needs a compound cooled to less than 5 Celsius. Determine the amount of time required for the compound to cool so that its temperature is less than 5 Celsius. PLEASE DO NOT USE LIMIT TO SOLVE IT.......I CAN NOT USE LIMIT IN THIS CLASS.

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Asked Nov 2, 2019
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Suppose than an object that is originally at room temperature of 30 Celsius is placed in a freezer. The temperature T (x) of the object can be approximated by the model T (x) = 360 / xˆ2 + 4x + 12, 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 needs a compound cooled to less than 5 Celsius. Determine the amount of time required for the compound to cool so that its temperature is less than 5 Celsius.

 

PLEASE DO NOT USE LIMIT TO SOLVE IT.......I CAN NOT USE LIMIT IN THIS CLASS.

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Expert Answer

Step 1

 

Part a)

Given,

 

360
The function is T(x)
x4x12
Where x is the time in hours
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360 The function is T(x) x4x12 Where x is the time in hours

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Step 2

To find the horizontal asymptotes of the given function:

If denominator’s degree >numer...

360
Horizontal Asymptotes ofT(x)
2
x4x12
The degree of the numerator 0.The degree of the denominator=2
0
T(x)
2
The horizontal asymptote is T 0, that, is the temperature becomes zero.
So, the time value gets bigger
help_outline

Image Transcriptionclose

360 Horizontal Asymptotes ofT(x) 2 x4x12 The degree of the numerator 0.The degree of the denominator=2 0 T(x) 2 The horizontal asymptote is T 0, that, is the temperature becomes zero. So, the time value gets bigger

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