(a.)
The approximate day of the year on which, the daily temperature shows the greatest increase from the previous day.
(a.)
Answer to Problem 68E
It has been determined that the daily temperature shows the greatest increase from the previous day on approximately the
Explanation of Solution
Given:
The equation that approximates the Fahrenheit temperature on day
Concept used:
The approximate day of the year on which, the daily temperature shows the greatest increase from the previous day is the value of
Calculation:
It is given that,
Differentiating,
Differentiating again,
Differentiating again,
Now,
Put
Simplifying,
On further simplification,
Solving,
Put
Simplifying,
On further simplification,
Put
Simplifying,
On further simplification,
Finally,
This implies that
So, the daily temperature shows the greatest increase from the previous day on approximately the
Conclusion:
It has been determined that the daily temperature shows the greatest increase from the previous day on approximately the
(b.)
The approximate number of degrees per day that the temperature is increasing by at that time of the year.
(b.)
Answer to Problem 68E
It has been determined that the temperature is increasing by approximately
Explanation of Solution
Given:
The equation that approximates the Fahrenheit temperature on day
Concept used:
The approximate number of degrees per day that the temperature is increasing by at that time of the year is the maximum value of
Calculation:
It is given that,
Differentiating,
As determined previously,
Put
Simplifying,
On further simplification,
Solving,
So, the temperature is increasing by approximately
Conclusion:
It has been determined that the temperature is increasing by approximately
Chapter 3 Solutions
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