If the volume of a sphere increases at the rate of 2 cm3/ s, then the rate of increase of its radius(in cm/s), when the volume is 288 cm3, is
B.
If f : RR2 and g : R R are such that g{f(x)} = and f{g(x)} = (sin )2, then a possible choice for f and g is
f(x) = x2, g(x) =