Using trigonometric identities, show that the basis functions in the series in Eq. (11.1) are periodic with

Question:

Using trigonometric identities, show that the basis functions in the series in Eq. (11.1) are periodic with period 2L.

ο (Η) +> bn sin ηπx (). f (x) a0 +aη cos . n=1 n=1 (11.1)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mathematics for Physical Chemistry

ISBN: 978-0124158092

4th Edition

Authors: Robert G. Mortimer

See More Books

Question Posted: Dec 29, 2018 10:52 AM

See More Questions

Show that these identities hold. x y = (x+y)(xy)
Show that |sinh x| |cosh z| cosh x by using (a) Identity (12), Sec. 35; (12) |cosh z|2 = sinh2 x + cos2 y, where z = x + iy. While these identities follow directly from definitions (1), they are...
Substitute x = tan() to integrate 1/1 + x2. Integration by substitution, in combination with trigonometric identities, can be used to integrate some surprising functions.
In 1987, British skier Graham Wilkie achieved a speed of v = 211 km/h going downhill. Assuming that he reached the maximum speed at the end of the hill and then continued on the horizontal surface,...
Employer A has a FUTA tax liability of $67.49 on March 31 of the current year. When does the employer have to make the deposit for this liability?
Gruden Bancorp Inc. purchased a portfolio of trading securities during 20Y3, its first year of operations. The cost and fair value of this portfolio on December 31, 20Y3, are as follows: 1 Issuing...
With reference to the previous exercise, assume that production has a normal distribution and obtain a $99 \%$ confidence interval for the true mean production of the pilot process. Data From...
Allen Shonton recently opened his own accounting firm on April 1, which he operates as a corporation. The name of the new entity is Allen Shonton, CPA. Shonton experienced the following events during...
You are a Morgan Stanley portfolio manager of a risky portfolio with an expected rate of return of 19% and a standard deviation of 28%. The T-bill rate is 7%. Suppose your client decides to invest in...
Refer to the information given in the preceding problem for Fresno Fiber Optics and two of its customers, Trace Telecom and Caltex Computer. Additional information for six of Fresno's other customers...
Sketch a rough graph of the product cos (x/L) sin (x/L) from 0 to L and convince yourself that its integral from L to L vanishes.
Find r if r = ix + jy + kz.
Discuss the justification for the emergent approach when planning and implementing organizational change.
. You will retire 35 years from now. Once you reach retirement you plan on living 30 years (Anything longer and you will live off your children). You want to have enough money upon reaching...
Step 1: List 5-10 interview questions Step2: Write down your answers Step 3: Practice with somebody a few times Step 4: Write reflection paper(1. Write about interview preparation such as questions...
There are 15 exceptions to carrier liability under the Carriage of Goods by Sea Act other than "perils of the sea". Which ones are similar to an event of force majeure that are usually placed in a...
C6. Karen has the following share portfolio: 200 shares in Gippsland Nurseries Ltd (GNL); 1200 shares in Alpine Bank Ltd (ABL) and 9000 shares in River Lett Ltd (RLL). Their current market prices...
1. Assuming firms in a market face a linear downward-sloping demand curve and constant marginal and average costs, carefully explain where equilibrium price would be if it were a competitive market....
In a symmetric slab waveguide, n 1 = 1.50, n 2 = 1.45, and d = 10m. (a) What is the phase velocity of the m = 1 TE or TM mode at cutoff? (b) How will your part (a) result change for higher-order...
Reichenbach Co., organized in 2018, has set up a single account for all intangible assets. The following summary discloses the debit entries that have been recorded during 2018 and 2019. Instructions...
What test can be performed to assess whether the feeding preferences of titmice and goldfinches are comparable on the first day of testing? Zoology A study was performed to look at the preference of...
Implement the test in Problem 10.74, and report a p-value? Zoology A study was performed to look at the preference of different species of birds for different types of sunflower seeds. Two bird...
What test can be used to assess whether the feeding preference of goldfinches are the same on different days? One assumption in the entire experiment is that the feeding preferences of the same...
List 3 ways to organize a resume and describe when each resume is appropriate
Consider the following data for two products of Vigano Manufacturing. Activity Machine setup Parts handling Quality inspections Total budgeted overhead Unit Information Units produced Budgeted Cost...
ces Direct Materials Conversion Percent Percent Units Complete Complete Beginning work in process 42,500 inventory Units started this period 165,000 Units completed and 175,000 transferred out 32,500...

Using trigonometric identities, show that the basis functions in the series in Eq. (11.1) are periodic with

Question:

ο (Η) +> bn sin ηπx (). f (x) a0 +aη cos . n=1 n=1 (11.1)

Step by Step Answer:

We need to show for arbitrary n ...View the full answer

Mathematics for Physical Chemistry

Students also viewed these Mathematics questions