when given the population of the planet is denoted by E(t) per year t, then the population growth rate dE/dt is characterised by:dE/dt=kE

where k denotes the constant of proportionality

a) find an exact expression for k given population E doubles every 37 years

b) the initial population is 300,000. how many years (T) would it take for the population to grow to 10,000,000? to the nearest year

any help appreciated