Assume that a spherical rain drop evaporates at a rate proportional to its surfaceradius originally is 3 mm and 1 hour later has been reduced to 2 mm, find an expression for the radius of the rain drop at any time.

Assume that a spherical rain drop evaporates at a rate proportional to its surfaceradius originally is 3mm and 1 hour later has been reduced to 2mm ,find an expression for the radius of the rain drop at any time.

A spherical rain drop evaporates at a rate proportional to its surface area at any instant t.The differential equation giving the rate of change of the radius of the rain drop is

spherical rain drop evaporates at a rate proportional to its surface area.The differential equation corresponding to the rate of change of the radius of the rain drop if the constant of proportionality is K>0 is

Assume that a rain drop evaporates at a rate proportional to its surface area. Form a differential equation involving the rate of change of the radius of the rain drop.

The surface area of a balloon being inflated, changes at a rate proportional to time t . If initially its radius is 1 unit and after 3 secons it is 2 units, find the radius after t seconds.

A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 kg of the material present and after two hours it is observed that the material has lost 10% of its original mass, find () and expression for the mass of the material remaining at any time t, (ii) the mass of the material after four hours and (iii) the time at which the material has decayed to one half of its initial mass.

A spherical drop of water has a diameter of 2 mm . If the surface tension of water is 70 xx 10^(3) N/m , then the difference of pressures between the inside and outside of the spherical drop is

Suppose that a mothball loses volume by evaporation at a rate proportional to its instantaneous area.If the diameter of the ball decreases from 2cm to 1cm in 3 months,how long will it take until the ball has practically gone?

Polio drops are delivered to 50K children in a district. The rate at which polio drops are given is directly proportional to the number of children who have not been administered the drops. By the end of 2^("nd") week half the children have been given the polio drops. How many will have been given the drops by the end of 3rd week can be estimated using the solution to the differential equation (dy)/(dx)=k(50-y) where x denotes the number of weeks and y the number of children who have been given the drops. hich of the following solutions may be used to find the number of children who have been given the polio drops?

A spherical drop of water has 1mm radius. If the surface tension of the water is 50 xx 10^(-3) N//m then find the difference of pressure between inside and outside the spherical drop is :