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Populations tend to expand as P = P_0e^4, where P is the current population, P_0

ID: 3120664 • Letter: P

Question

Populations tend to expand as P = P_0e^4, where P is the current population, P_0 is the original population, r it the rate, expressed at a fraction, t is the time. If you originally have 100 rabbits that breed at rate of 9% per year, find how many rabbits you will have at the end of 10 years. Create the following matrix A: A = [3.4 2.1 0.5 6.5 4.2 4..2 7.7 3.4 4.5 3.9 8.9 8.3 1.5 3.4 3.9] A = [3.4 2.1 0.5 6.5 4.2 4.2 7.7 3.4 4.5 3.9 8.9 8.3 1.5 3.4 3.9] Create a matrix B by extracting the first column of matrix A Create a matrix C by extracting the second row of matrix A Use colon operator to create a matrix D by extracting the first through third columns of matrix A Create a singled valued matrix E by extracting the value from second row, third column of matrix A i.e. A_2.3 Create a matrix F by extracting the values of elements A_2.3, A_2.4, and A_3.5 and combining them into a single matrix. Create two matrices, A = [2 0 6 -3] B = [9 -4 1 0] and perform the following operations: Matrix Addition A+B Matrix Multiplication A * B Element by element multiplication A * B Scaler multiplication 5*A Solve the following set of simultaneous equations: 3x_1 + 2x_2 + 4x_3 = 5 2x_1 + 5x_2 + 3x_3 = 17 7x_1 + 2x_2 + 2x_3 = 11 x - y - z = 0 30x + 40 y = 12 30x + 50 z = 12 Create the following variables sigma[3.14 15 9 26) and b = [2.71 8 17 56] Now solve the equations below, element-wise. x = (sigma)^2 * b, y = log (1/sigma^tau), remember that log is the log base 10, so use log 10 and 0^tau indicates the transpose of 0, i.e. use 0' z = a*b + squareroot (Sa)

Explanation / Answer

Dear Student Thank you for using Chegg ! Given P = P0 exp (rt) P Current Population P0 Orignal Population =100 Rabbits r Rate Of Interest =9% t Time Taken =10 years Hence Calculating Present population of rabbits we get P = 100*exp (0.09*10) = 245.9603 Rabbits Kindly note that as per chegg policies an expert can answer maximum one question at a time