According to newton's law of cooling, the temperature u(t) of an object satisfies the differential equation du dt = −k(u − t), where t is the constant ambient temperature and k is a positive constant. suppose that the initial temperature of the object is u(0) = u0. (a) find the temperature of the object at any time

Explanation:

Given that

Now by separating variables

now by taking integration both sides

So

Where C is constant

Given that at t= 0,u=Uo

So

The temperature at any time t is

ice to water 1 water to vapour 2 latent heat

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.