WRITE COMPLETE SOLUTION 9. Suppose Paramecium caudatum cultured in a batch reactor obeys the logistic function...

WRITE COMPLETE SOLUTION

9. Suppose Paramecium caudatum cultured in a batch reactor obeys the logistic function

X(t) =20,000/3.0 + 50e^−0.01t   ; {t ϵ + ℝ}

Where:
          X(t) = organism count
           t      = time, hours

a. Determine the carrying capacity of the population.
b. Determine the time when the maximum growth rate is expected.
c. Determine the organism count added between the quarter of the maximum growth rate to
three-quarters of the maximum growth rate.

Solutions

Expert Solution

Feel free to ask any doubt in the comment section. Please don't forget to rate the answer positively if you like.

Ally Wells answered 1 month ago

Next > < Previous

Related Solutions

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9...

Suppose a batch of metal shafts produced in a manufacturing company have a variance of 9 and a mean diameter of 207 inches. If 72 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 206.7inches? Round your answer to four decimal places.

Exercise 9 – Writing values from a list into a file Complete the function design for...

Exercise 9 – Writing values from a list into a file Complete the function design for the write_most_frequent() function, which takes 4 parameters, a string, a list of tuples, an integer, and another string: • The first string represents the name of the file to write to (with the append usage mode) • The list of tuples contains the information to write. Assume the list has already been sorted. • The integer represents the number of elements to read from...

for each of the 9 salts write the A: ions present in solution, B:ion expected to...

for each of the 9 salts write the A: ions present in solution, B:ion expected to hydrolyze water, C: Hydrolysis reaction(if applicable) D.type of solution(acidic basic or neutral) salts- all have .1 M solution 1. water 2. Na2CO3 3. NaBr, 4. NaHSO3, 5.Ha2HPO4, 6.CaSO4, 7.Na3PO4, 8.MgSO4, 9. Fe(NO3)3, 10. NaHCO3

Write a complete C++ program that at least consists of the main() function and at least...

Write a complete C++ program that at least consists of the main() function and at least two recursive functions. The first function has no return value and can be named printPrime(). It prints first n prime numbers with proper prompt. Note that number 1 is not regarded as a prime number. We assume the first prime number is 2. The printout should start from 2. The prototype of the recursive function should be void printPrime(int n); The algorithm of printPrime()...

WRITE COMPLETE SOLUTION. 4. The growth rate of a certain colony of bacteria in a controlled...

WRITE COMPLETE SOLUTION. 4. The growth rate of a certain colony of bacteria in a controlled room temperature is given by the expression dP(t)/dt = -4.375x10^-5 P(t)^2 + 0.0525P(t) Where: P(t) = bacterial count t = time Initial biomass count was performed by the researchers and found a total of 400 grams. Determine: a) The time when population reaches 500 grams. b) The time when population reaches 850 grams. c) The time when half of the maximum growth rate is...

Suppose a particle moves along a line according to the motion function f(t) = 9/t+9, where...

Suppose a particle moves along a line according to the motion function f(t) = 9/t+9, where t is measured in seconds and f(t) is measured in feet. Use this motion function to answer the following questions: a.) What is the initial velocity of the particle? b.) When is the particle at rest? c.) When is the particle moving in the negative direction?

1. Suppose a country's production function is Y = 4 + 9*K. If the level of...

1. Suppose a country's production function is Y = 4 + 9*K. If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital? 2. Suppose a country's production function is Y = 4 + 9*K0.5 If the level of capital (K) is 17, then what is the marginal productivity of the 18 unit of capital? 3. Assume the production function for a small country is Y = 7*K0.5. If 20% of...

SML Complete the following programs. 1. Write a function listify that takes a list and returns...

SML Complete the following programs. 1. Write a function listify that takes a list and returns a list of lists where each element of first list becoming its own single-element list (Fill in the code here) fun main() = let val lst = (explode "rad"); in print (PolyML.makestring ( listify lst )) end; 2. Write a function splitlist that takes a list of pairs and returns a pair of lists that has the firsts of the pairs in one list...

Write the complete formula equation for lead(II) nitrate reacting with sodium chloride in solution to produce...

Write the complete formula equation for lead(II) nitrate reacting with sodium chloride in solution to produce solid lead(II) chloride and aqueous sodium nitrate.

9. a. Suppose that a firm’s production function is q=9x^1/2 in the short run, where there...

9. a. Suppose that a firm’s production function is q=9x^1/2 in the short run, where there are fixed costs of $1000, and x is the variable input whose cost is $4000 per unit. What is the total cost of producing a level of output q? In other words, identify the total cost function C(q). b. Write down the equation for the supply curve. c. If price is $1000, how many units will the firm produce? What is the level of...

Subjects