# Quadrature

Not what you're looking for?

(a) Describe how the weights for the order 4 closed Newton-Cotes quadrature formula could be found. Do NOT calculate the weights.

(b) What are composite quadrature rules and why are they preferred to using higher order quadrature rules?

(c) What are the main characteristics of a predictor-corrector method for solving an initial value problem.

(d) In general, there are 3 conditions for stopping an iterative algorithm, describe each of them, and give an example of each by considering the problem of finding a solution of f(x) = 0.

See the attached file.

##### Purchase this Solution

##### Solution Summary

Topics explored in this solution include: weights for Newton-Cotes quadrature formulas, composite and higher order quadrature rules, predictor-corrector method for solving an initial value problem, and the conditions for stopping an iterative algorithm.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Probability Quiz

Some questions on probability

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.