Calculus

posted by .

Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 303 F and left to cool in a room at 74 F, it's temperature T after t hours will satisfy the differential equation dT/dt = k(t-74)

If the temperature fell to 206 F in 0.7 hours, what will it be in 5 hours?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Using Netwon Law of Cool, the graph of T(t)=S+(T subscript --S)e^kt approaches a horizontal asymptote.What does the asymtote describe?
  2. calc

    The rate that an object cools is directly proportional to the difference between its temperature ( in Kelvins) at that time and the surrounding temperature (in Kelvins). If an object is initially at 35K, and the surrounding temperature …
  3. math

    (TEMPERATURE CHANGE) The rate at which the temperature of an object changes is proportional to the difference between its own temperature and the temperature of the surrounding medium. Express this rate as a function of the temperature …
  4. math

    Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the …
  5. math

    Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the …
  6. math-urgent please help

    Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the …
  7. math-urgent

    Newton’s Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. The temperature u of a heated object at a given time t can be modeled by the …
  8. College Algebra

    According to Newton's law of cooling, the rate at which an object cools is directly proportional to the difference in temperature between the object and the surrounding medium. The face of a household iron cools from 130° to 100° …
  9. calculus

    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. So the rate of cooling for a bottle of lemonade at a room temperature of …
  10. math check please

    Newton’s law of cooling states that for a cooling substance with initial temperature T0 T 0 , the temperature T(t) T ( t ) after t minutes can be modeled by the equation T(t)=Ts+(T0−Ts)e−kt T ( t ) = T s + ( T 0 − T s ) e − …

More Similar Questions