Can you show that these pairs of function are of the same order for each of them:1. floor(x+1/2) and x 2. log_2_x + 100 and lnx

A sequence (bn)neNo is called strictly increasing if b₁ M. We can represent a sequence (bn) by a Python function that takes n as its argument (of type int) and returns bn (of type float). Write a function threshold_index that takes two arguments: The first one is a Python function representing a strictly increasing, divergent sequence. The second one is a threshold value M. The function threshold_index should return the smallest index n for which the sequence passes the threshold (i.e., bn ≥ M).

Make a function_sum, function_substraction, function_multiplication. initiation  var1 = 3, var2 = 4 show:      var1+var2      var1-var2      var1*var2      var1/var2   How to answer above problem based on Arduino languange?

Which of the following is the definition of a higher-order function?     func xs = sum (map (^2) xs)     func x = x * 2     func (x,y) = (y,x)     func (x:y:zs) = y     func f [x,y] = [f x, f y]

Write a MatLab user-defined function that determines the coefficients of a cubic polynomial, f(x)=a₂x³ + a₂x² + a₁x + a that best fits a given set of data points. The function should also calculate the overall error E. Name the function [a,Er] = CubPolFit(x,y), where the input arguments x and y are vectors with the coordinates of the data points, and the output argument a is a four-element vector with the values of the coefficients a3, a₂, a₁, a. The output argument Er is the value of the overall error. " (a) Use CubPolFit to find the cubic polynomial that best fits the data in the rubber tension tests (see lecture slides): Curve fitting - polynomial regression - Example A tension test is conducted for determining the stress-strain be- havior of rubber. The data points from the test are shown in the figure, and their values are given below. Determine the fourth order polynomial that best fits the data points. Make a plot of the data points and the curve that corresponds to the…

draw a transformed function. Write down step by step

Write a function using Java   Function Name: winInRowParameters: board: 2D integer array, row: integer, piece: integerReturn: booleanAssume board is valid 2D int array, row is valid index in the board, piece is X==1/O==2Look at indicated row at given index in board. If that row has at least 3 consecutive entries withgiven type of piece (X/O) (3 in a row XXX, OOO), then return true, otherwise false.

Exercise 4B (1) Write a function which takes a list of the coefficients of a polynomial P(x) = ª₁ + ª₁x + a² + ….. +anxn of arbitrary degree n, and a value of x, and returns P(x). You can use the function given in lectures, ensuring you understand how it works. (2) Use the function to evaluate (a) P₁(x) = 4x4 + 3x² + 2 at x = 2. (b) P₂(x) = 2 — ¹x¹ at x = √√/2. Are these answers exact? Explain why or why not. (Use a print statements to show the evaluation of your function, and answer the question in a comment.) (3) The power series for the sine function sin(x) is given by ∞ x2n+1 (2n + 1)! sin(x) = Σ(−1)”. n=0 = x 6 + x5 120 for all x. Use the first four terms in this series in the Horner evaluation function at a suitable value of a to give an approximation of sin(π/4). (4) (a) Use your Horner's method function to evaluate the polynomial (x − 1)³ at the point x = 1.000001. (b) Is this answer correct? (c) Briefly explain why, or why not. (5) In week 3 we wrote a function to convert from…