Fourier series expansions

Assignment Help Mathematics
Reference no: EM13132935

1. Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)

a) {(1/L)^.5, (2/L)^.5*cos*((k*pi*x)/L)|k=1,2,...}

b) {(2/L)^.5*sin*((k*pi*x)/L)|k=1,2,....}

Reference no: EM13132935

Questions Cloud

Write a complete stepwise mechanism for the cyclopentanone : Write a complete stepwise mechanism for the reaction of cyclopentanone with bromine in acetic acid to give 2-bromocyclopentanone. Show all intermediate structures and all electron flow with arrows.
Compute confidence intervals for mean of breaking strengths : Calculate 95 percent and 99 percent confidence intervals for m. Using the 95 percent confidence interval, can we be 95 percent confident that m is at least 50 pounds? Explain.
Provide ken with an estimate of the opportunity cost : Provide Ken with an estimate of the opportunity cost, and explain why you do not have to consider rent or depreciation of office equipment in your estimate .
Repaying the entire loan : If you paid an extra $100 per month to reduce the principal due on the mortgage, how long would it take to repay half the principal due? In the case where you paid an extra $100 per month, how long would it take to repay the entire loan?
Fourier series expansions : Find the Fourier series expansions of f(x) = Co + C1x^2 with respect to the following two orthonormal bases on the interval [0,L] (L>0)
What is the expected cost per unit : The company expects to produce 300,000 units in the following month using the existing capacity. The new level of production is within the relevant range of activity. What is the expected cost per unit?
How many resonance structures cyclohepatrienyl cation : How many resonance structures are there for the cyclohepatrienyl cation? Draw them. Are carbon-carbon bonds equivalent?
Capital punshiment : Argumentive Paper on the subject of Capital Punshiment, is it a civil punishment or cruel.
What would the partial pressure of oxygen and of nitrogen be : if you lived in the mountains where the atmospheric pressure is 685 mm Hg, what would the partial pressure of oxygen and of nitrogen be ?

Reviews

Write a Review

Mathematics Questions & Answers

  Standard deviation from frequency table

Find the standard deviation of the data in the given frequency table. A company had 80 employees whose salaries are summarized in the frequency table below. Find the standard deviation.

  Discussion on geometrical construction

Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.

  What are these probabilities not accepting the box

If the merchant samples the fruit, what are the probabilities of accepting a Good box, accepting a Bad box, and not accepting the box? What are these probabilities if he does not sample the fruit

  Find the amount of the winning bid

Find the amount of the winning bid if there were 7 bidders.

  Quadratic minimum maximum problems

A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground

  Inverse fourier transform of bessel function

The equation is J1(wg) where J1 is bessel functon of the first kind of order 1, w is angular frequency and g is a constant. How do I inverse fourier transform this equation to time domain representation?

  Estimating breakdown of costs

Develop a model to represent the total profit for selling x necklaces. How many necklaces will the student have to sell to break-even?

  Examples of product rule of exponents

Examples of the product rule of exponents: Sometimes when students see the rule they want to write it as 4^2 + 4^3 = 4^5. Can you explain why this does not work?

  Evaluate the maximum height of the firework

Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.

  Use zero product principle to solve absolute value equation

Solve by absolute value equation and Solve by factoring and use the zero product principle.

  Determining finite value

A rational number r = p/q, where p, q are in Z, is said to be properly reduced if p and q (q > 0) have no common integral factor other than +1 or -1. Define the function f as follows;

  Computing unlevered cost of capital

The Green Paddle has a cost of equity of 13.73 percent and a pre-tax cost of debt of 7.6 percent. the debt-equity ratio is 0.65 and the tax rate is 32 percent. What is green paddle's unlevered cost of capital?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd