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Question: 1. What is the nth order approximation using Taylor series?
2. What is Error Propagation?
3. Please explain what the total numerical error is? Please illustrate how the change of step size will affect the total numerical error?
4. What are non-computer methods for determining roots?
5. Please illustrate with an example about graphical methods to obtain roots.
6. Please illustrate the bisection method to obtain roots.
7. Determine the real roots of f(x)=-0.5x2+2.5x+ 4.5
(a) Graphically
(b) Using the quadratic formula
(c) Using three iterations of the bisection method to determine the highest root. Employ initial guesses of xl=5 and xu=10. Compute the estimated error ?a and the true error ?t after each iteration.
Solve the below given equation. If log 72 - log (4x/3)=0, and find x
How do we know that the eigenvalues of A are all real and distinct before we calculate them? Find the characteristic polynomial of A. Find the eigenvalues of A.
chi-square tests are great to show if distributions differ or if two variables interact in producing outcomes. what are
70 guests attending a dinner and each guest will get a torte that requires 60 grams of diced apples. How many 2 pound bags of apples need to be purchased?
When you perform a strategic management case analysis for a firm, you must find information about what the firm actually is doing and what the firm plans to do. Comparing what is planned with what you recommend is an important part of case analysi..
1. Consider a fan located in a 3 ft * 3 ft square duct. Velocities at various points at the outlet are measured, and the average flow velocity is determined to be 22 ft/s. Taking the air density to 0.075 lbm/ft^3 estimate the minimum electric powe..
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
Without computing any integrals, explain why the average value of f(x) = sin x on [0, p] must be between 0.5 and 1.
Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places.
Given that the beam has length 10m and mass of 175kg, determine a) the tension in the cable and b) the reaction at the ground. Please show working out.
A heavy rope, 60 ft long, weighs 0.7 lb/ft and hangs over the edge of a building 150 ft high.
How many one-to one correspondences are there between the sets {x, y, z, u, v} and {1,2,3,4,5} if x must correspond to 5?
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