Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

Answer the following problems. Show all your working.

Consider the equation

εx3 + x2 - x - 6 = 0, ε > 0.                  (1)

1. Apply a naive regular perturbation of the form

x n=0 xnεn as ε→0+

do derive a three-term approximation to the solutions of (1).

2. The above perturbation expansion should only give you an approximation for 2 of the roots. Apply a leading order balance argument to device suitable expansions for the other root, again in the limit ε→0+ . Again, derive a three-term approximation this third case.

3. Solve (1) numerically for ε = 0.01 (use Matlab or Maple or something). Use your three-term approximation for the three roots found in Q1 and 2 and provide the error (in terms of a percentage) in each case.

Math, Academics

  • Category:- Math
  • Reference No.:- M91833

Have any Question? 


Related Questions in Math

A coin is tossed three times and the sequence of heads and

A coin is tossed three times and the sequence of heads and tails is recorded. Use a tree diagram to determine the different possibilities.

Production is modeled by the cobb douglas production

Production is modeled by the Cobb Douglas production function where x represents the number of units of labor, and y the number of units of capital. If each unit of labor costs $500 and each unit of capital $200, and the ...

The simple interest i in dollars for a savings account is

The simple interest, I (in dollars), for a savings account is jointly proportional to the product of the time, t (in years), and the principal, P (in dollars). After three months, the interest on a principal of $5000 is ...

1 identify the left-hand and right-hand behavior of the

1. Identify the left-hand and right-hand behavior of the graph of the polynomial function f(x) = 6x 3 - 5x + 4. 2. Find a polynomial function that has zeros at -3, -1, and -2. Do not leave it in factored form, but multip ...

Suppose that you are the managing director of mlk auto

Suppose that you are the managing director of MLK Auto Company, which is considering expanding its business to China. You wish to produce your auto parts within Chinese borders so that you can lower your labor costs and ...

The situation of the company is this a restaurant chain has

The situation of the company is this: A restaurant chain has several store locations in a city (with a name and zip code stored for each), and each is managed by one manager. Managers manage only one store. Each restaura ...

1 determine whether exist can be factored from an

1. Determine whether ∃ can be factored from an implication. In other words, is ∃x ∈ X,(p(x) → q(x)) ⇐⇒ (∃x ∈ X, p(x)) → (∃x ∈ X, q(x)) true? Explain your reasoning. Marks will only be given for your explanation. Hint: Th ...

The following function is givenfxx2-05x-3x-1lexle1a what is

The following function is given f(x)=x^2-0.5x-3|x|,-1≤x≤1 a) What is its derivative f′(x)for x>0? b) What is the derivative f′(x)for x c) Give the x-value where the derivative is not defined? d) List the x coordinate of ...

If the coordinates of the midpoint of the line segment with

If the coordinates of the midpoint of the line segment with endpoints (a,4) and (3,b) are (5,2) find the values of a and b.

What is an example of an argument based on true premises

What is an example of an argument based on true premises and follows good logic leading to a true conclusion?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate