Determine the taylor series expansion

Reference no: EM131069160

a. Find the least squares approximation to f(x) = xe^-2x over the interval -1 ≤ x ≤ 1 from the span of 1, x, x² using the stan- dard inner product on C[-1,1].

b. Calculate the error in the approximation using the inner product generated norm.

c. Determine the Taylor series expansion for f(x) through the quadratic term. Calculate the error in this approxi- mation and compare to the error in the least squares approximation.

Reference no: EM131069160

Questions Cloud

What are the factors considered in making this determination : Suppose you are interested in how children with severe autism experienced the receipt of special education assistance in public schools. This population is characterized by underdevelopment of social cognition, social skills, and language skills. ..

Explore the possibility of establishing a factory : Axetem, Inc. wants to explore the possibility of establishing a factory and a customer service center in a developing nation to take advantage of a less expensive labor force. The first step in a series of various feasibility studies is a politica..

Describe the global car industry characteristics : Describe NASCAR in terms of product design, manufacturing, marketing, and corporate culture. How do you suggest NASCAR increase its presence in the global automobile market?

Perform sensitivity analysis by changing one parameter : Formulate a linear programming (LP) model that may be solved to identify the optimal production plan for the company in each time period - Formulate an SQL query to obtain the average machining time, assembly time, finishing time.

Determine the taylor series expansion : Determine the Taylor series expansion for f(x) through the quadratic term. Calculate the error in this approxi- mation and compare to the error in the least squares approximation

Which strategy do you feel netflix should use : Explain how Netflix focuses on the three functional concerns (product, peole, and support processes). Look at design and how it is delivered to the customer. Mention production and operations also.

Possible results of the throws : Suppose that you throw a dice 2 consecutive times and that you have to make a probabilities chart that show all the possible results of the 2 throws. How many branches will result?

Gathering data regarding working conditions : A personnel office is gathering data regarding working conditions. Employees are given a list of five conditions that they might want to see improved. They are asked to select the one item that is most critical to them.

Determine the maximum flow : The storm drains in the Cedar Rapids, Iowa, have been upgraded following the devastating floods of 2008. The network of storm drains and the capacities are shown below. Determine the maximum flow (in hundreds of gallons of water per minute) from n..

User Account

All Pages