5. Consider the trisection method, which is analogous to bisection except that at each iteration, it creates 3 intervals instead of 2 and keeps one interval where there is a sign change. (c) The main computational cost of bisection and trisection is function evalu- ations. The other operations it does are a few additions and divisions, but the evaluation of most functions, including sin, cos, exp, etc. are much more costly. Based on this information, explain why you would never want to use trisection over bisection.

Not an exam. Just review for me. For each function f(n) below give an asymptoic upper bound using big-Oh notation. You should give the tighest bound (ie. smallest bound) possible and simplify the expression.  Explain step by step how you your answers. Use signma notation to prove your answers if you can     I attached the answers for question 3 and 4 for your reference so you can check your work but explain how you got those answers.  I dont have the answer key for 1 so please try your best on that.

make a code , if you can uses mathlab keep basic code no if or return

Please do the following question with the required python coding. Question is in the photo.

Fill in the skeleton given for pipe which uses foldl' to get a function pipe :: [(a -> a)] -> (a -> a) such that pipe [f1,...,fn] x (where f1,..., fn are functions!) should return f1(f2(...(fn x))) . Again, your task is to fill in the appropriate values for 1. the step function f and 2. the base case base. Once you have implemented the function, you should get the following behavior: ghci pipe [] 3 3 ghci> pipe [(\x −> x+x), (\x −> x + 3)] 3 12 ghci> pipe [(\x -> x * 4), (\x -> x + x)] 3 24 0₁

Please use best fit on python and show codes

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…

need help simplifying equation