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- Write a code (phyton) implementing the Trisection method, which is analogous to the Bisection method except that at each step, the interval is subdivided into 3 equal subintervals, instead of 2; then takes a subinterval where the function values at the endpoints are of opposite signs. (i) Is the Trisection method guaranteed to converge if for the initial interval [a, b], we have f(a)f(b) < 0? Why or why not?(ii) Starting with several different initial intervals, solve e^x = x^2 using the Trisection method to within 6 correct decimal places. Compare with the results obtained using the Bisection Method.Write a program that reads two matrices of integers. It then generates the sum and difference of the two matrices. The sum of the two matrices of the same size is a matrix with elements that are the sums of the corresponding elements of the two given matrices. Addition is not defined for matrices of different sizes. If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, to subtract matrix B from matrix A, we simply subtract corresponding elements. Note: Use array functionWrite a program that reads two matrices of integers. It then generates the sum and difference of the two matrices. The sum of the two matrices of the same size is a matrix with elements that are the sums of the corresponding elements of the two given matrices. Addition is not defined for matrices of different sizes. If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, to subtract matrix B from matrix A, we simply subtract corresponding elements.
- Write a program that reads two matrices of integers. It then generates the sum, difference and productof the two matrices.The sum of the two matrices of the same size is a matrix with elements that are the sums of thecorresponding elements of the two given matrices. Addition is not defined for matrices of different sizes.If A and B are matrices of the same size, then we define subtraction as follows: A – B = A + (-B). Thus, tosubtract matrix B from matrix A, we simply subtract corresponding elements.To multiply a matrix by another matrix we need to do the "dot product" of rows and columns. The "DotProduct" is where we multiply matching members, then sum up:(1, 2, 3) • (7, 9, 11) = 1×7 + 2×9 + 3×11 = 58We match the 1st members (1 and 7), multiply them, likewise for the 2nd members (2 and 9) and the3rd members (3 and 11), and finally sum them up.In kotlin, write an isPyth(a,b,c) function with an expression body that takes three Doubles as arguments and returns true if they are a Pythagorean triple, otherwise returns false. use Math.pow(base, exponent), where both base and exponent are Doubles. Double has an .equals() method; use that, not ==Create a program in Python that takes a user's inputted set of data points, x and y values, until the user enters q to quit. The program should then ask the user for any x value and then have a y value returned, where the y value is the best estimate, using linear interpolation/extrapolation, from the nearest x value. The user should be able to repeatedly interpolate or extrapolate until they enter q.
- Python This simulates the population of fish. Use this to generate a plot with a numerical solution and the exact solution on the same plot axes for model parameters, P_m = 20,000 fish with a birth rate of b=6%, a harvesting rate of h=4%, a change in t=0.5 and y_0=5000(Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.In Python, write a function that produces plots of statistical power versus sample size for simple linear regression. The function should be of the form LinRegPower(N,B,A,sd,nrep), where N is a vector/list of sample sizes, B is the true slope, A is the true intercept, sd is the true standard deviation of the residuals, and nrep is the number of simulation replicates. The function should conduct simulations and then produce a plot of statistical power versus the sample sizes in N for the hypothesis test of whether the slope is different than zero. B and A can be vectors/lists of equal length. In this case, the plot should have separate lines for each pair of A and B values (A[1] with B[1], A[2] with B[2], etc). The function should produce an informative error message if A and B are not the same length. It should also give an informative error message if N only has a single value. Demonstrate your function with some sample plots. Find some cases where power varies from close to zero to…
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