Mathematics, 05.02.2021 22:00 marmar69

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. Let k>0 be the constant of proportionality. Assume the coffee has a temperature of 200 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 190 degrees in a room at 62 degrees. Required:
a. Write an initial value problem for the temperature T of the coffee, in Fahrenheit, at time t in minutes.
b. Solve the initial value problem in part (a).

Answers: 1

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 13:00, zoeedadoll

The long jump record, in feet, at a particular school can be modeled by f(x) = 19.6 + 2.5ln(x + 1) where x is the number of years since records began to be kept at the school. what is the record for the long jump 11 years after record started being kept? round your answer to the nearest tenth.

Answers: 1

continue

Mathematics, 21.06.2019 13:20, blaze9889t

Figure lmno is located at l (1, 1), m (4, 4), n (7, 1), and o (4, −2). use coordinate geometry to best classify quadrilateral lmno.

Answers: 3

continue

Mathematics, 21.06.2019 21:50, safiyyahrahman8937

Aparticular telephone number is used to receive both voice calls and fax messages. suppose that 25% of the incoming calls involve fax messages, and consider a sample of 25 incoming calls. (a) what is the expected number of calls among the 25 that involve a fax message?

Answers: 1

continue

Mathematics, 21.06.2019 22:00, foreverrocky12p2asun

Consider the triangle. which shows the order of the angles from smallest to largest? angle a, angle b, angle c angle b, angle a, angle c angle b, angle c, angle a angle c, angle a, angle b

Answers: 3

continue

You know the right answer?

Newton's law of cooling states that the temperature of an object changes at a rate proportional to t...