Newton-Cotes formula for n=4

Derive all of the weights for the closed Newton-Cotes formula for n=4(the so-called Milne rule).

cubic polynomial interpolation; system of linear equations

1. a) Consider the problem of cubic polynomial interpolation p(xi) = yi, I = 0,1,23 with deg(p) ≤ 3 and x0, x1, x2, x3 distinct. Convert the problem of finding p(x) to another problem involving the solution of a system of linear equations. b) Express the system from (a) in the form Ax = b, identify the matrix A and the vectors b and x.

Diagonal Matrix; Arbitrary Square Matrix

1. Let A be an arbitrary square matrix of order 3, and let D = {see attachment} Calculate AD and DA. The matrix D is called a diagonal matrix. Give a simple rule for multiplication of a general matrix by a diagonal matrix.

Key Metrics and Ratios for Abercrombie and Fitch Company

Using Abercrombie and Fitch Company (data attached): You are interested in learning moe about from an investment standpoint. Identify KEY METRICS and RATIOS of the company that will give a good indication of how "investment worthy" it is. 1) List the key financial metrics and ratios for Abercrombie and Fitch for that company that you believe best represents its financial condition. 2) Explain your reasoning as to why the metrics/ratios you have chosen are important. Review those metrics for that company. 3) What is your initial evaluation of that company from the metrics you have chosen and the information publicly available? Pls include a spreadsheet on the metrics and... click for more

STATISTICS

MANIPULATE STATISTICAL DATA TO PRODUCE DIAGRAMS AND GRAPHICAL SOLUTIONS FROM SUCH DATA