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- Using MATLAB or Octave Consider the formula for computing the future value of money: Future Value = Investment * (1 + I)^n I = interest rate expressed as a fractional amount per compounding periods (5% would be expressed as .05) n = number of compounding periods (typically monthly or yearly) a. Create a function file called "future_value" with three inputs: investment, interest rate, number of compounding periods. ( see the sample function file with multiple inputs in the overview page) b. In your main program, use this function to calculate the value of a $500 investment in 4 years, with a monthly compounding interest rate of .75%.PYTHON (Uee While Loop) only Write a python program that calculates the populations of foxes and rabbits who live within a certain area of land, as that number changes from year to year. It will take the initial populations as inputs, and then proceed to calculate the year-by-year changes. The following is derived from the “Lotka-Volterra equations”, which you may look up if you desire. Essentially, we will model the foxes and rabbits with 4 constants, and 2 data structures of year-by-year values. They are defined as follows: r[y] # of rabbits in year y f[y] # of foxes in year y α or alpha - birth rate of rabbits β or beta - death rate of rabbits, dependent on # of foxes γ or gamma - birth rate of foxes, dependent on # of rabbits δ or delta - death rate of foxes, caused naturally The formulas we will use are: r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β)r[y]=r[y−1]+(r[y−1]×α)−(r[y−1]×f[y−1]×β) f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ)f[y]=f[y−1]+(f[y−1]×r[y−1]×γ)−(f[y−1]×δ) However,…Note: You may NOT use the MATLAB functions primes 0 or isprime( in your solution! Write a function that returns all prime numbers up to a specified value. For example, calling p=primes UpTo(20) should produce:
- A chemical plant releases an amount A of pollutant into a stream. The maximum concentration C of the pollutant at a point which is a distance x from the plant is: 2 A C = X For the values of X = 100, 1420, 2020, 4510 and A is 35000. Assume that the distance x is in meters. Write Matlab program using script file and format short to calculate C.It is required to implement a MATLAB program By using "user define function" that used to: • Read (100) diagnosis data shown in the table below from the key board. • Display all Patient's data who have a "High Risk "condition only "High Risk" are patient who have an age greater than or equal to 75 If there are no high risk patients the program should terminated with an appropriate message Diagnosis Data Sample No. Patient ID Name Ag Height (cm) Weight(kg) e 1 905792 K.M. Liam 50 166 90 126987 A.H. Noah 60 170 105 100 913376 L.S.Benjami 80 160 85How many times does a for loop run? A. A for loop runs a random number of times. B. The value of the for loop variable defines the number of times a for loop may run. C. A for loop runs once. D. A for loop runs once for each item in the sequence included in the for statement. How do the lines of code in the body of a function get executed? A. As soon as the function is defined the code is executed B. The function must be called within the program C. The name of the function is passed in the exec command D. Based on the function's condition What happens when a function is called? A. The function is defined. B. The function is deleted. C. Program execution jumps to the function definition and executes the code in the function body. D. All of the above.
- b\ If z(x, y) = e* cos y + sin(x² - y), is a two variable real value math function, use a MATLAB function file to expressing this function, such that, the inputs to the function are x and y, and the output is Z.Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of t125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)- ho+vot-gt², t20 where g = 9.81 m/s². The time t=0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of himax meters at time t-tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the z and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, Amax, when the height function, h(t), attains a maxima, compute the time at which this occurs, tmax, and the maximum…The ant population growth is supposed to follow the following equation: (V2 +0.002 + e)'° 1.8 N(t) + e') -In (1 +t3 ) tis the time in seconds and N is the population size at any given time. A) Write a MATLAB anonymous function called 'N fune' that implements N(t). B) Call the above function to do the following: (i) Calculate the values of N for t varying between 0 and 2s with a step of 0.1s. (ii) Generate the two plots of N vs t in the same figure window as shown below: 70 10 60 50 30 20 10 1.5 0.5 1.5 t(ec)
- Matlab A rocket is launched vertically and at t-0, the rocket's engine shuts down. At that time, the rocket has reached an altitude of ho- 500 m and is rising at a velocity of to 125 m/s. Gravity then takes over. The height of the rocket as a function of time is: h(t)-ho+vot-gt², t20 where g -9.81 m/s². The time t-0 marks the time the engine shuts off. After this time, the rocket continues to rise and reaches a maximum height of Amax meters at time t = tmax. Then, it begins to drop and reaches the ground at time t = tg. a. Create a vector for times from 0 to 30 seconds using an increment of 2 s. b. Use a for loop to compute h(t) for the time vector created in Part (a). e. Create a plot of the height versus time for the vectors defined in Part (a) and (b). Mark the and y axes of the plot using appropriate labels. d. Noting that the rocket reaches a maximum height, max, when the height function, h(t), attains a maxima, compute the time at which this occurs, max, and the maximum height,…Make a C program using loops (do while, while, for loop) in finding the months having Friday the 13th in the year 1990. Note: Do not use any built-in date functions. Do not use arrays. Example output: In 1990, Friday the 13th occurs in the months: APRIL JULYUsing C not(C++ or C#) without the use of strings and arrays, I need help in coding this small function as part of practice. We cant use any other library (like math.h) apart from stdio.h) We cant change any parameters. The function returns the updated number after the nTimes number of iterations. It also displays the rotated number for each iteration. (Note that for each iteration, the rightmost digit becomes the leftmost digit.) For example, if num is 456 and nTimes is 1, the function displays - 1: 645 and returns 645. Another example is if num is 709134 and nTimes is 3, the function displays - 1: 470913, 2: 347091 , 3: 134709 and returns 134709. @param num the original number to be rotated @param nTimes the number times num will be rotated to the right @return rotated number (For this practice program, I have to utilize this function -) int getPlace(int num) { int t = 1; while(num>0) { t = t*10; num/=10; }…