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1. Using Taylor series expansion derives the error term for the following formulas:
2. Use method of undetermined coefficients to derive second order scheme for ∂u/∂x using three points in the following way:
u'(kΔx) ≈ c1u(kΔx) + c2u((k - 1) Δx) + c3u((k - 2) Δx).
3. Use method of undetermined coefficients to show that it is impossible to approximate uxx, at point kΔx to the third or higher order using only the points kΔx, (k - 1) Δx and (k + 1) Δx.
4. Consider the following diffusion problem:
- First order
- Second order using "ghost" point approach
- Approximation derived in problem 2.
What is the probability that exactly 1 of 10 cars experience breakdown: Use the Binomial Probability tables.
An area is calculated by multiplying the length by the width. The pseudocode program below should ask the user for the length and width of a rectangular room in order to calculate the area, and display the room's area. Will it do the job.
Show the scatterplot for this data with the least squares regression line. Find R^2. How much of the variation is explained by the regression line?
For problem below, state the null and the alternative hypothesis, determine a critical value, present a test statistic, and provide a p-value and your decision. Use (Type 1 error rate of =.05)
Formulate the Linear Programming model for this problem. Solve the problem using Excel Solver or QM for Windows.
Draw a decision tree for this problem and what is the optimal decision for this investor and what is the EMV for this decision?
Question 1: When comparing two population means with an unknown standard deviation you use a t test and you use N-2 degrees of freedom.
Using the least-significant difference test, identify the significant differences between the programs.
1. A research study performed at checkout lines at Publix Supermarket in South Florida revealed that between 4pm and 7pm on weekdays there is an average of 4 customers waiting in line. What is the probability that you visit a Publix today during t..
problem 1 let fr-gtr be a function fxx if xgt0 x-1 if xlt0evaluate whether f isa u-u continuous.b c-c
Find paremetric representations and sketch the path and what it the shape of the given contour - evaluate the function using Cauchy's integral formula and Find two sets of paremetric representations and sketch the path.
1- compute the condition number of each eigenvalues of the matrix 0 -1 1 2b and determine for which values of b the
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