Suppose that the outside temperature versus time curve over a 24-hour period is

Question

Suppose that the outside temperature versus time curve over a 24-hour period is as shown in the accompanying figure. Estimate the minimum temperature and the time at which it occurs. The minimum temperature is degree and it occurs at The temperature rise is fairly linear from 8 A.M. to 2 P.M. Estimate the rate at which the temperature is increasing during this time period. The temperature is increasing at a rate of Estimate the time at which the temperature is decreasing most rapidly. Estimate the instantaneous rate of change of temperature with respect to time at this instant. Round your answers to the nearest integer. The temperature is decreasing most rapidly at The instantaneous rate of change at this instant is Click if you would like to Show Work for this question:

Explanation / Answer

The time of most rapid decrease looks more like it's 8 pm because
around 8 pm is where concave down changes to concave up.

And now, what is the approximate rate of decrease?

When i draw the approximate tangent line at t = 8, it hits the points
(8 , 60) and (12 , 30)

The slope of this line is :
(30 - 60) / (12 - 8)

-30 / 4

-7.5 F/h

So, ANSWERS :
8 P.M
-7.5 F/h

If -7.5 does not work, then try 7.5

Let me know if it works! Cheers

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.