please answer all they are together!!!

- Now place the growth rate at r = 0.5 . ( You can do this by adjusting the slider, or you can type in the value in the box next to the "r "label and hit return.) How does the population growth vary if it starts from a small initial value (N 0 =5 individuals) versus a larger initial value (N 0 =100 individuals)?

-Keep the growth rate at r = 0.5 , and make N0= 900 individuals. What is N when t = 5 ? To answer this question, you will have to rescale the graph so that you can see the higher values of N: Click on the gear icon and change the Max value of Pop. (N0) to 15000. N just write in the numeral)

- Waterbuck are a large antelope found in sub-Saharan Africa. Waterbuck populations in Gorongosa National Park in Mozambique are recovering after a devastating civil war. Scientists are trying to understand and predict changes in the size of waterbuck populations using models. The initial values for the waterbuck population are as follows: b = 0.52 , d = 0.06; N_{0} = 140 Calculate the waterbuck population growth rate. r=\ ( just write in the numeral with two significant figures)

-Enter your calculated growth rate and initial population value from the previous question into the exponential model simulator. Does this model predict that waterbuck population growth will ever slow down or decline? Explain.

- Limiting factors are anything that constrains population growth, such as food or nesting space, and keeps populations from growing exponentially foreverThink of TWO other possible limiting factors that could apply to waterbuck populations.

-Click on the "Logistic" button at the top and read through the description of the logistic model, then proceed to the logistic model simulator. Manipulating the logistic model The logistic model adds the concept of carrying capacityk. This is the maximum number of individuals that the community can support without exhausting resources. Use default starting values for r(0.6) and N_{0} (100). Select a value for k smaller than the N_{0} value. What happens to the population over time? (Please note this is just asking about the first portion of this question as its listed in the assignment)

(The population decreases in size until it reaches the carrying capacity, k.

The population increases in size until it reaches the carrying capacity, k.

The population increases in size until it passes the carrying capacity, k.)

-Kudu are an antelope species found in eastern and southern Africa. Male kudu have dramatically spiraled horns, which makes them a target of trophy hunters. Assume that the carrying capacity in a park is 100 kudu. Parameters: k = 100 , r = 0.26 , N_{0} = 10 . 9. At what time do kudu populations reach their carrying capacity? (You may need to change the ma value of t and adjust the max value of k to optimize the graph display.)

(Around t=29, Around t=5, Around t=10, Around t=43)

-Kudu are an antelope species found in eastern and southern Africa. Male kudu have dramatically spiraled horns, which makes them a target of trophy hunters. Assume that the carrying capacity in park is 100 kudu. Parameters : k = 100; r = 0.26 , N_{0} = 10 10. What happens to the growth rate of a kudu population as it reaches its carrying capacity?

(The growth rate slows as the population approaches its carrying capacity.

The growth rate increases as the population approaches its carrying capacity

The growth rate increases as the population after it exceeds its carrying capacity)

you need more information on what can you let me know please ?