Numerical Analysis

1) Find a bound for the number of bisection method iterations needed to achieve an approximation with accuracy 10^-3 to the solution of x^3+x-4=0 lying in the interval [1,4]. Find the approximation to the root with this degree of accuracy? 2) The sum of two numbers is 20. If each number is added to its square root the product of two sums is 155.55. Determine the two numbers to within 10^-4? 3) Use Newtons method to determine the first positive solution to the equation tan[x]=x and explain why this problem can give difficulties?

Determine all values of k such that f is differentiable at 0. What is f' (0) then?

Please see attachment.

Prove that g is also differentiable at c and f'(c) = g'(c) = h'(c).

See Attachment.

Quantitative Methods - Moving Averages - Snyder Company

1. The Snyder company percentages of all shipments that were received on time over the past 12 months are 80, 82, 84, 83, 83, 84, 85, 84, 82, 83, 84 and 83… A. Compare a 3-month moving-averages forecast with an exponential smoothing forecast for a = 0.2 Which provides a better forecast? Part B. What is the forecast for next month? 2. The attached data represents fifteen quarters of manufacturing-capacity utilization (in percentages) (see attachment) A . Compute three, and four quarter moving averages for this time series. Which moving average provides the better forecast for the fourth quarter of 2003? B. Use the smoothing constants of a = 0.4 and a = 0.5 to dev... click for more

Quantitative Methods - Linear Trend

1. The CEO of a small company is concerned about the continual growth in manufacturing costs over the past few years. The following is a time series of the cost per unit (in dollars) for the companys leading product over the past 8 years. A. graphic this time series. Does a linear trend appear? B. Develop the equation for the linear trend component for the time series. What is the average cost increase per year? (see attached file label "costperunit.doc") 2. The ownership of a fast food chain wants to investigate the relationship between the daily sales volume in dollars of a company restaurant against the number of competitors within a 1 mile radius... (see attached file labeled... click for more