Question

A cup of tea is cooling in a room that has a constant temperature of 70...

A cup of tea is cooling in a room that has a constant temperature of 70 degrees Fahrenheit (F). If the initial temperature of the tea, at time t=0 minutes, is 200 F and the temperature of the tea changes at the rate: R(t) -6.89e^(-.053t) degrees Fahrenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes? 2. On the closed interval [2, 4], which of the following could be the graph of a function f with the property that (1/(4-2) integral 2 to 4 f(t) dt=1 *Graph*

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Newton’s law of cooling states that the rate of change of the temperature T of an...
Newton’s law of cooling states that the rate of change of the temperature T of an object is proportional to the temperature difference between the temperature S of the surroundings and the temperature T. dT dt = k(S − T) A cup of tea is prepared from boiling water at 100 degrees and cools to 60 degrees in 2 minutes. The temperature in the room is 20 degrees. 1. What will the temperature be after 15 minutes?
The temperature, T, of a cup of tea is modelled by the function T = 21...
The temperature, T, of a cup of tea is modelled by the function T = 21 + 58.8(1.4)-x ,where T is measured in 0C (degrees Celsius) and x is measured in minutes. The time starts to be measured when the tea is poured into the cup.      1) Graph the function using technology. Include a graph in your response. 2) Find the temperature of the tea in the cup in 0C and 0F: a) when the tea is poured into...
Newton's law of cooling states that the temperature of an object changes at a rate proportional...
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the different between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 200 degrees F when freshly poured, and 1 min later has cooled to 190 degrees F in a room at 70 degrees F, determine when the coffee reaches a temperature of 150...
I like my cup of tea to be at 145 degrees F when I drink it....
I like my cup of tea to be at 145 degrees F when I drink it. The kettle boils water to 212 degrees F. If the room temperature is 70 degree F, how long will it take my cup to reach it’s desired temperature if the k constant for this cup is 0.1739?
Newton’s Law of Cooling tells us that the time rate of chnge in temperature T(t) of...
Newton’s Law of Cooling tells us that the time rate of chnge in temperature T(t) of a body immersed in a medium of constant temperature A is proportional to the difference A − T.The DE modeling this is dT dt = k(A − T). A cup of hot chocolate is initially 170◦ F and is left in a room with an ambient temperature of 70◦ F. Suppose that at time t = 0 it is cooling at a rate of...
A cup of coffee has a temperature of 200F. It is placed in a room that...
A cup of coffee has a temperature of 200F. It is placed in a room that has temperature 70 F. After 15 minutes, the temperature of the coffee is 150F. a) Model the temperature of the cup of coffee at time t. b) How long will it take for the coffee to cool down to 100◦ F?
(1 point) Newton's Law of Cooling states that the rate of cooling of an object is...
(1 point) Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose t is time, T is the temperature of the object, and Ts is the surrounding temperature. The following differential equation describes Newton's Law dT/dt=k(T−Ts), where k is a constant. Suppose that we consider a 95∘C cup of coffee in a 25∘C room. Suppose it is known that the coffee cools at a...
If a cup of coffee has temperature 100°C in a room where the ambient air temperature...
If a cup of coffee has temperature 100°C in a room where the ambient air temperature is 21°C, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T ( t ) = 21 + 79 e − t / 45 . What is the average temperature of the coffee during the first 14 minutes?
The temperature of a cup of coffee t minutes after it is poured and placed on...
The temperature of a cup of coffee t minutes after it is poured and placed on the kitchen table is given by: Ct= 77 + 110·e-0.04t where C(t) is in degrees Fahrenheit. (a) What is the initial temperature of the coffee when it is poured? Explain. (b) In order to safely drink the coffee, it must be less than 150 degrees Fahrenheit and greater than 110 degrees Fahrenheit. When will the temperature of the coffee reach between 150 degrees F...
A 210 degree cup of coffee is placed on a table in a climate-controlled room with...
A 210 degree cup of coffee is placed on a table in a climate-controlled room with the temperature set at a constant 73 degrees. After 6 minutes, the temperature of the coffee had dropped to 150 degrees. Find a function that outputs the temperature of the coffee t minutes after it is placed on the table.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT