Using python, Compute and plot the first and second numerical derivative for 100 different values of x between (-10, 10)

Q: Express the time complexity of the following function in terms of the Θ-notation. Select one: a.…

A: Explanation:   in big O notation, this function can be denoted as O(n2),  A function with a…

Q: Use h = 10- to approximate f'(1) using the approximate derivative formula s'(z) = f(x + h) - f(z)…

A: The theoretical derivative of f'x = 2x+1= 2*1+1 = 3. The program reads the answer for nine decimal…

Q: HW10_3 A Using Newton's second law, it can be shown that the period T of a pendulum with length Land…

A: The MATLAB code is as follows

Q: 8. Find the general solution of the following first order ODE: dy + y tan(t) MATLAB sin(2t) %3D dt

A: Code: syms y(t)Dy=diff(y)ode=diff(y,t,1)==sin(2*t)-y*tan(t)ySol(t)=dsolve(ode)ySol=simplify(ySol)

Q: using the truth table and show that : 7(¬pA(q- p)) = p Vq

A: ¬ alters True to False and false to True∧ gives you True only if both conditions are True-> gives…

Q: using python code determine the coeffcients of polynomial y=a0+a1x+a2x2+a3x3 that passes through the…

A: The code is written in python to find the coefficients We can take the first point (0,10) then the…

Q: 2. For the sequence: -40, -20, 0, ... a. Find the 40th term b. Find the sum of the first 40 terms

A:

Q: Q/ USING TALOR SERIES FIND HE FIVETERMS FOR FUNCTION: F(X) = COS(X) AT a = T\4

A: Finding Taylor series.

Q: A certain piston has a diameter of 0.875±0.001 in. It travels within a cylinder of diameter…

A: Python used to answer this question

Q: If the product of four consecutive even integers is 384,384. Using ready-made functions in Matlab…

A: You can directly do it in one line using code: val =…

Q: 1. Find d where 2. Find Ff(x, y) дудх where 3x4 - 5x+7 y = et f(x, y) = x³y² + e + xy

A: We will sympy library to find the derivatives in python. See below steps for code and output. I have…

Q: Create Python codes to solve the following ODEs:   1. Exponential decay   2. An oscillating…

A: Exponential decay : import numpy as np from scipy.optimize import curve_fit import…

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.