- #1

hulgy

- 7

- 0

## Homework Statement

Suppose that the temperature of a pan of warm water obeys Newton's law of cooling. The water (47 degrees Celsius) was put in a room and 10 minutes later the water's temperature was 40 degrees Celsius. After another 10 minutes, the temperature of the water was 34 degrees Celsius. Find the room's temperature.

## Homework Equations

(H-H

_{s})=(H

_{0}-H

_{s})e

^{kt}

dH/dt = -k(H-H

_{s})

H

_{s}is the room's temperature

H

_{0}is the initial temperature of the water

H is the temperature of the water at time t

## The Attempt at a Solution

I'm rather at a loss at how to do this problem. I've tried setting up a system of equations and tried finding the room temperature, but that doesn't work out. So if algebra won't do it, then I'm assuming something calculus-y should. I'm just at a lost as what that is.

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