Consider the program below. Its purpose is to calculate the population of a colony of bacteria using the formula P = Ne ^{k t} in a method named population, where P is the population at time t, N is the initial population at time t = 0,k is the growth rate and e is the base number of the natural number system, approximated as 2.718282. Determine the missing identifiers, symbols or numbers. Write your responses in the spaces provided.

import java.io.*;

import java.math.*;

public class Population {

static BufferedReader theKeyboard = new

BufferedReader(new InputStreamReader(System.in));

public static double population(double ______ , double rate, double time)

{

double result;

result = initial * Math.exp( __________ * time);

__________ result;

}

public static void main(String args[]) throws IOException

{

double N, k, t, __________ ;

System.out.print("Find bacteria population at specified time ");

System.out.print("Enter initial population -> ");

_____ = Double.parseDouble(theKeyboard.readLine());

System.out.print ("Enter growth rate -> ");

k = Double.parseDouble(theKeyboard.readLine());

System.out.print ("Enter number of time periods -> ");

t = Double.parseDouble(theKeyboard.readLine());

endResult = __________(N, k, t);

System.out.println("Population after " + _____ + " time periods = ");

System.out.println(endResult);

System.out.print ("Press < Return > to continue");

char s = (char)theKeyboard.read();

}

}

You can test your program by using input values similar to those shown in this screen snapshot.

Find bacteria population at specified time

Enter initial population -> 5000

Enter growth rate -> 0.02

Enter number of time periods -> 6

Population after 6.0 time periods =

5637.484257896878

Press < Return > to continue