Question

The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by T = 10 2t2 + 16t + 72 t2 + 2t + 10 where t is the time (in hours). What is the initial temperature of the food in degrees Fahrenheit? 72 Correct: Your answer is correct. \deg F Find the rate of change of T with respect to t (in \deg F/hr) at the following values. (Round your answers to two decimal places.) (a) t = 1 -5.92 Correct: Your answer is correct. \deg F/hr (b) t = 3 Incorrect: Your answer is incorrect. \deg F/hr (c) t = 5 \deg F/hr (d) t = 10 \deg F/hr

Name: the temperature t in degrees fahrenheit of food placed in a refrigerator is modeled by t 10 2t2 16t 72 t2 2t 10 where t is the time in hours what is the initial temperature of the food in de 16315
Uploaded: 2024-02-28T04:51:14-08:00
Duration: 4 min
Channel: Brent Burkett
Description: the temperature t in degrees fahrenheit of food placed in a refrigerator is modeled by t 10 2t2 16t 72 t2 2t 10 where t is the time in hours what is the initial temperature of the food in de 16315

          The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by
T = 10
2t2 + 16t + 72
t2 + 2t + 10
where t is the time (in hours).
What is the initial temperature of the food in degrees Fahrenheit?
72
Correct: Your answer is correct.
 \deg F
Find the rate of change of T with respect to t (in \deg F/hr) at the following values. (Round your answers to two decimal places.)
(a)    
t = 1
-5.92
Correct: Your answer is correct.
 \deg F/hr
(b)    
t = 3
Incorrect: Your answer is incorrect.
 \deg F/hr
(c)    
t = 5
 \deg F/hr
(d)    
t = 10
 \deg F/hr

Added by Jose S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Brent Burkett

02/28/2024

Step 1

To find the initial temperature, we need to evaluate the temperature function T at t = 0. \[ T(0) = \frac{10 \cdot 2(0)^2 + 16(0) + 72}{0^2 + 2(0) + 10} = \frac{72}{10} = 7.2 \text{ degrees Fahrenheit} \] Show more…

Show all steps

Thanks for your feedback!

The temperature T (in degrees Fahrenheit) of food placed in a refrigerator is modeled by T = 10 2t2 + 16t + 72 t2 + 2t + 10 where t is the time (in hours). What is the initial temperature of the food in degrees Fahrenheit? 72 Correct: Your answer is correct. \deg F Find the rate of change of T with respect to t (in \deg F/hr) at the following values. (Round your answers to two decimal places.) (a) t = 1 -5.92 Correct: Your answer is correct. \deg F/hr (b) t = 3 Incorrect: Your answer is incorrect. \deg F/hr (c) t = 5 \deg F/hr (d) t = 10 \deg F/hr