Prove the orthogonality relations (28.4) for the trigonometric system. Equation 28.4 (-T,T) cos(jx) cos(kx) dx = (-,)
Question:
Prove the orthogonality relations (28.4) for the trigonometric system.
Equation 28.4
Transcribed Image Text:
(-T,T) cos(jx) cos(kx) dx = (-,) L sin (lx) sin(mx) dx = (-TT) 0, , 2, if lm, T, if l=m, cos(kx) sin(x) dx=0 for all k, l, if kj, if k=j> 1, if k=j=0, 0,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
and that Thus if kl Observe that Re eilxy eixy Re eix eiy e...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Business questions
-
Explain the terms Work Conservation and max-min sensibility, in the particular situation of group trading. [8 marks] (b) Outline the movement of two work-safeguarding queueing plans that give max-min...
-
Let r(t) = (3 cos t, 5 sin t, 4 cos t). Show that r(t) is constant and conclude, using Example 7, that r(t) and r(t) are orthogonal. Then compute r(t) and verify directly that r' (t) is orthogonal to...
-
Read the case study "Southwest Airlines," found in Part 2 of your textbook. Review the "Guide to Case Analysis" found on pp. CA1 - CA11 of your textbook. (This guide follows the last case in the...
-
Contact local employers and ask for copies of their employee handbooks. If none are available, research parent companies of local employers online to see if their employee handbooks are available....
-
For n = 6, what values can l have?
-
Consider the following two isomeric alkenes. The first isomer is a mono-substituted alkene, while the second isomer is a di-substituted alkene. We might expect the second isomer to be more stable,...
-
When to seek a summary adjudication?
-
Penny Lennon, the chief financial officer of Johnson Inc., is considering the options available to her for financing the company's new plant. Short-term interest rates right now are 6%, and long-term...
-
You have been tasked with developing a health campaign focused on individuals living in the city of New Haven. What health issue are you focusing on and why? What will the goals and objectives of...
-
(i) Show that for suitable constants \(c_{k}, s_{k}, \sigma_{k} \in \mathbb{R}\) and all \(n \in \mathbb{N}_{0}\) \[\cos ^{n} x=\sum_{k=0}^{n} c_{k} \cos (k x), \sin ^{2 n+1} x=\sum_{k=1}^{n} s_{k}...
-
State and prove Theorem 28.6 and Corollary 28.8 for an arbitrary compact interval \([a, b]\). Data from theorem 28.6 Data from corollary 28.8
-
What roles do status symbols play in purchase decisions?
-
On December 31, 2022 Pack-and-Deliver Company completed its first year of operations. The following information has been provided for the year: a. Sold packing supplies for $30,400 and provided...
-
Two roommates, Eric and Noah, decide independently of each other how much time to spend cleaning the common area of the aparment they share. Specifically, Eric chooses hE 20 (hours per week), while...
-
The lecture described how taxing income may change savings behavior. Suppose instead that the government taxed consumption. D To be specific, suppose we have a two-period model. An individual earns...
-
Critically review, analyze, and evaluate the concepts and practices given Human Resource Development perspective: Topic: Pakistan National Human Development Report 2017, (Unleashing the potential of...
-
The Process Control Block(PCB) stores information that is associated with each process. Describe all these information stored in PCB.
-
Roe, Attorney at Law, experienced the following transactions in 2013, the first year of operations: 1. Accepted $36,000 on April 1, 2013, as a retainer for services to be performed evenly over the...
-
Graph one period of each function. y = 4 cos x
-
Explain how to record the application of overhead to products using activity-based costing.
-
Describe the three steps required to implement activity-based management.
-
How does activity-based management differ from activity-based costing?
-
29. If f(x) = 3x x, find f'(1) and use it to find an equation of the tangent line to the curve y = 3x x at the point (1, 2) . SHOW ANSWER 30. If g(x) = x - 2, find g(1) and use it to find an equation...
-
Use differential approximations in the following problem. A company will sell N units of a product after spending $x thousand in advertising, as given by N = 70x-x, 5x35. Approximately what increase...
-
Question R8 F(x) = F(x) sin t dt G(x) = Suppose and x+1 DO NOT attempt to evaluate the integral: you will only waste your time. Find the following. F(0) F'(0) G'(0) Suppose H(x) = F(x^2). Find H'(x).
Study smarter with the SolutionInn App