Python coding. Do number (2) (1) Write a function which takes a list of the coefficients of a polynomialP(x) = @o+ @l® +a+…+an nof arbitrary degree n, and a value of xo, and returns P(xo). You can use the function given in lectures,ensuring you understand how it works.(2) Use the function to evaluate(a) P₁(x) = x³ + x² + 5x + 1 at x = 2.(b) P₂(x) = 5x² at x = √√3.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 Maclaurin series for the natural logarithm ln(1 + x) is given byln(1 + x) = Σ(−1)¹+¹ 5nn=1x2OR+23for all x. Use the first five terms in this series in the Horner evaluation function at a suitable value of x to givean approximation of In 3/2.(4) (a) Use your Horner's method function to evaluate the polynomial (x − 2)¹ at the point x = 2.0001.(b) Is this answer correct?(c) Give brief reasoning for this answer.(5) In week 3 we wrote a function to convert from binary to decimal. The efficiency of this function can beimproved using the same principle as Horner's method. Write such a function (horner_ternary_to_dec)using the ideas of Horner's method which takes a list containing Os, 1s and 2s (representing a base-3number) and returns the corresponding decimal integer (so the input [1,2,0] returns the integer 15).

The function can be defined as follows: def poly(coeff, x): #polynomial function n = 0 result = 0…

Answered: (2) Use the function to evaluate (a)…

(2) Use the function to evaluate (a) P₁(x) = x³+x² + 5x + 1 at x = 2. (b) P₂(x) = 5 − x² at x = √√3. Are these answers exact? Explain why or why not.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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