The following differential equation describes the dynamics of an experimental yeast population: dN dt = (0.59 − 0.0026N)N where N(t) is the population size (in millions of individuals per mL) at time t (in hours). Sketch the direction field of the differential equation for values of N between 0 and 250.

Which statement best explains whether the table represents a linear or nonlinear function? input (x) output (y) 2 5 4 10 6 15 8 20 it is a linear function because the input values are increasing. it is a nonlinear function because the output values are increasing. it is a linear function because there is a constant rate of change in both the input and output. it is a nonlinear function because there is a constant rate of change in both the input and output.