# Calculus

The table below shows the temperature (in °F) t hours after midnight in Phoenix on March 15. The table shows values of this function recorded every two hours. (10 points)
b. What is the meaning of T'(6)?

t 0 2 4 6 8 10 12 14

T 73 73 70 68 73 80 86 89

1. 👍 0
2. 👎 0
3. 👁 2,137
1. T'(6) could be approximated by the value

(T(8)-T(6))/2 = 5/2

T'(6) means how fast T is changing at t=6, in °F/hr.

1. 👍 1
2. 👎 0

## Similar Questions

1. ### precalculus

Outside temperature over a day can be modelled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 90 and 70 degrees, respectively. Assuming t is

Tony and Alice are trying to reduce the amount of television they watch. For every hour they watch television, they have to put \$2.50 into savings. The table shows how many hours of television Tony and Alice have watched in the

3. ### Calculus (Derivatives)

A tray of lasagna comes out of the oven at 200°F and is placed on a table where the surrounding room temperature is 70°F. The temperature T (in °F) of the lasagna is given by the function T(t) = e^(4.86753 - t) + 70, where t is

4. ### Math

At noon, the temperature was 12. It rose 8 during the afternoon, and then dropped 28 by midnight. What was the temperature at midnight? -18 -8 (MY ANSWER) 6 50

1. ### Math

Updated: At midnight the temperature was -8F. At noon the temperature was 23F. Which expression represents the increase in temperature? A) -8 - 23 B) {-8} - 23 C) -8 - {23} D) {-8 - 23}

2. ### math-precalculus

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 87 degrees during the day and the average daily temperature first occurs at 8 AM. How many hours after

3. ### Equation help?

From midnight to 6:00 am, the temperature rose 8°C. At 6:00 am, the temperature was –20°C. What was the temperature at midnight. I know it's -20-8 = -28 C temp at 12am, but how do I write it an equation?

Paul Curcio earns \$8.25 per hour for regular time up to 40 hours, time-and-a-half for overtime, and double time for the midnight shift. Last week Paul worked 58 hours, including 6 on the midnight shift. What are his gross

1. ### brilient stars

the temperature at 12 noon was 15 degree C above zero. if it decreases at the rate of 3 degree C per hour until midnight , at what time would the temperature be -3 degree C ? what would be the temperature at midnight

2. ### Math

From midnight to 6:00 am, temperature rose 8°C. At 6:00 am, The temperature was -20°C. What was the temperature at midnight?

3. ### math

Paul Curcio earns \$8.25 per hour for regular time up to 40 hours, time-and-a-half for overtime, and double time for the midnight shift. Last week Paul worked 58 hours, including 6 on the midnight shift. What are his gross

4. ### Precalculus

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 55 degrees at midnight and the high and low temperature during the day are 62 and 48 degrees, respectively. Assuming t is