(5/5)

Numerically calculate the same integral using ƒ and package scipy.integrate. Compare to the analytical integral, and comment.

INSTRUCTIONS TO CANDIDATES

Q1.1) (10 pts) Consider the function f(x) = (sin x) ecos. Determine its analytical integral between points a and b, and code the analytical integral in python. Calculate the value for a = 0 and b = π.

The integral is sin ecos dx = cosa - ecosb

Q1.2) (15 pts) Numerically calculate the same integral using ƒ and package scipy.integrate. Compare to the analytical integral, and comment.

Q2.1) (10 pts) Load time-series data in file Data_Assgt03_2022W.txt. Plot with errorbars.

Q2.2) (20 pts) Use a model y = a sint with parameter a to build a x2 function, and minimize it, using scipy.optimize. Estimate parameter a. Overlay fit on data.

Q2.3) (15 pts) Display value of x2, degrees of freedom and p-value of this model. Is this a good fit?

Q2.4) (15 pts) Plot x2(a).

Q2.5) (15 pts) Determine the 68% confidence interval for a using ▲x2 = 1 and library optimize.root_scalar.

(5/5)

Related Questions

. Introgramming & Unix Fall 2018, CRN 44882, Oakland University Homework Assignment 6 - Using Arrays and Functions in C

DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma

. The standard path finding involves finding the (shortest) path from an origin to a destination, typically on a map. This is an

Path finding involves finding a path from A to B. Typically we want the path to have certain properties,such as being the shortest or to avoid going t

. Develop a program to emulate a purchase transaction at a retail store. This program will have two classes, a LineItem class and a Transaction class. The LineItem class will represent an individual

Develop a program to emulate a purchase transaction at a retail store. Thisprogram will have two classes, a LineItem class and a Transaction class. Th

. SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1 Project 1 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of

. Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of Sea Ports. Here are the classes and their instance variables we wish to define:

1 Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of

Hire Me

Hire Me