If a function f represents a system that varies in time, the existence of lim t→[infinity] f(t) means that the system reaches a steady-state (or equilibrium). for the following systems, determine if a steady-state exists and state the steady-state value. a. the population of a colony of squirrels is given by p(t) = 1500/3+ 2e-0.1tb. the population of a culture of tumor cells is given by p(t) = 3500/t+1c. the value of an investment is given by v(t) = 1000e0.065td. the amplitude of an oscillator is given by a(t) = 2(t+sint/t)