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

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

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.

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 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 radioctive element disintegrates at a rate proportional to the eqantity of substance Q present at any time t. what is the differential equation of the disintegration ?

A right circular cone with radius R and height H contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant k is positive). suppose that r(t) is the radius of the liquid cone at time t.The radius of water cone at t=1 is

If the rate of change of surface area of a sphere is 4m^2 /sec , then the rate of change of volume when the radius is 3m is.

If the rate of change of area of a circle is equal to the rate of change of its diameter, then its radius is equal to

The rate of change of the area of a circle with respect to its radius at r = 5, is :

When liquid medicine of density rho is to put in the eye, it is done with the help of a dropper. As the bulp on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop. We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension T when the radius of the drop is R. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper. If the radius of the opening of the dropper is r, the vertical force due to the surface tension on the drop of radius R (assuming r ltltR) is