1.. (Population growth model) Consider a general population model of the form, N0) = Noe\" ; where N (I) is the population of the foxes at time I measured in days. a. Explicitly state what type of model this is. b. Ezplieitly state what are the independent and dependent variables, and what are the parameters in the above model? e. Transform the above model into a linear model. Explici}: state what kind of transformation is this? Clearly show all of your work. d. Sketch a well-labelled graph of the linearized version of the population model. Clearly label all axes, the slope, and the intercept of your graph. Show your units. e. Using this model analytically derive an expression for how long it will take for a population to triple (increase by 3 times} from its initial population size? Clearly show your work. (NOTE: the initial population refers to the population size at time 0; the time at which you begin observing the population)