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° in 30 minutes in a room that remains at a constant temperature of 70°. From calculus, the temperature f(t) of the face after t hours of cooling is given by

f(x) = 60(2)^−2t + 70.

(a) Assuming t = 0 corresponds to 1:00 P.M., approximate to the nearest tenth of a degree the temperature of the face at 2:00 P.M., 3:30 P.M., and 4:00 P.M. (Round your answers to one decimal place.)
2:00 P.M. °

3:30 P.M. °

4:00 P.M. °

  1. 👍
  2. 👎
  3. 👁
  1. so just do it for t = 1 , 2.5 and 3

    1. 👍
    2. 👎
  2. kv

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT/dt = -k(T - A), where T is the temperature of the tea, A is the room temperature, and k is a positive constant. If the water cools from 100°C to

  2. math

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

  3. physics-speed

    i need help with this one thanks A particle starts from rest and is acted on by a net force that does work at a rate that is proportional to the time t. The speed of the particle is proportional to: a. sq. root t b. t c. t^2

  4. Pre-Calc/Trig

    A body was found at 6 a.m. outdoors on a day when the temperature was 50oF. The medical examiner found the temperature of the body to be 66oF. What was the approximate time of death? Use Newton's law of cooling, with k = 0.1947.

  1. Physics

    According to conservation of momentum, when two objects collide, the momentum lost by one object equals the momentum gained by the other. Give a common-sense, non-mathematical explanation of the connection between Newton’s 3rd

  2. Physics

    Answer True or False to each case. Coulomb's law states that the force between static charges Q1 and Q2 is proportional to Q1 Q2. is proportional to the total charge Q1+Q2. is K Q1Q2/r where K is a universal constant. is

  3. Chemistry

    A decomposition reaction is found to be first order with respect to the reactant. What is the relationship between the rate and concentration of the reactant? A) The rate is inversely proportional to the square of the

  4. Physics

    I need help on this question: You are given information on the intensity level (which is a measure of the sound intensity) at a point and its distance from the sound source. To make use of this information, you will need to

  1. 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

  2. Calculus

    1) yy'-e^x= 0, and y=4 when x=0 means that: A)y=x-lnx^2+4 B)y^2=4x^2+3 C)y=-2x+1/2x^3 D)y^2=2e^x+14 E)1/2ln|x^2+4|+6 2) The rate of change of P with respect to t is directly proportional to (10-t) and inversely proportional to the

  3. 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

  4. Physics (Conservation of momentum)

    1. Which of Newton’s laws of motion states that an object at rest stays at rest and an object in motion stays in motion with the same speed and the same direction unless acted upon by an unbalanced force? A. Newton's Third Law

You can view more similar questions or ask a new question.