Mathematics, 07.12.2021 21:40, lex2678

Newton's Law of Cooling The temperature, F(t), of a heated object at time t is given by F(t) = C + (To - C)e^kt,
where C is the constant temperature of the surrounding medium, To is the initial temperature
of the heated object, and k is a negative cooling constant that is associated with the object.
(a) Suppose a freshly brewed cup of coffee is 170° F and sits in a room with a constant
temperature of 68°. After 30 minutes the temperature of the coffee is 90°. Use Newton's
Law of Cooling to find a model for the temperature of the coffee, F(t), after t minutes.
(Hint: You need to find the constant k.)
(b) What is the temperature of the coffee after 45 minutes?
(c) When will the temperature of the coffee be 100°?
(d) Calculate the inverse F^-1(x) of F(t). In the context of the question, what consists of the
domain of the inverse and what is the range? That is, what does F^-1 (2) model?

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 17:00, jenn8055

Steve wants to develop a way to find the total cost of any item including sales tax. the sales tax in his city is 6%. his friend jenna writes the expression x + 6x where x is the cost of the item. explain whether her expression is correct based on the situation.

Answers: 1

continue

Mathematics, 21.06.2019 17:00, joelpimentel

Asailor is looking at a kite. if he is looking at the kite at an angle of elevation of 36and the distance from the boat to the point where the kite is directly overhead is 40 feet, how high is the kite?

Answers: 3

continue

Mathematics, 21.06.2019 19:00, vane6176

Which sentence uses an objective tone? we will plant the best garden of any school in the area. the new campus garden will surely be envied by other schools. a garden would provide numerous benefits to the students. you will probably agree that gardens have many benefits.

Answers: 3

continue

Mathematics, 21.06.2019 22:20, skyhighozzie

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)

Answers: 2

continue

Do you know the correct answer?

Newton's Law of Cooling The temperature, F(t), of a heated object at time t is given by F(t) = C +...