Apply Theorem 2 to verify that {cos kt} = s/(s 2 + k 2 ). THEOREM
Question:
Apply Theorem 2 to verify that ℒ {cos kt} = s/(s2 + k2).
Transcribed Image Text:
THEOREM 2 Transforms of Periodic Functions Let f(t) be periodic with period p and piecewise continuous for t≥ 0. Then the transform F(s) = L{f(t)} exists for s> 0 and is given by F(s) = = 1 - P₁ [ ² e-²₁ 1- e-ps e-st f(t) dt. (6)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
With ft cos kt and p give feat cos bt dt Lcos...View the full answer
Answered By
Irfan Ali
I have a first class Accounting and Finance degree from a top university in the World. With 5+ years experience which spans mainly from the not for profit sector, I also have vast experience in preparing a full set of accounts for start-ups and small and medium-sized businesses. My name is Irfan Ali and I am seeking a wide range of opportunities ranging from bookkeeping, tax planning, business analysis, Content Writing, Statistic, Research Writing, financial accounting, and reporting.
4.70+
249+ Reviews
530+ Question Solved
Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
Question Posted:
Students also viewed these Mathematics questions
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1
-
In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y'' + y = sin t, y(0) = 1, y'(0) = -1 Appendix III -1 7....
-
In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y" + 9y = cos 3t, y(0) = 2, y'(0) = 5 Appendix III = F(s)...
-
a. Show that if the position x of a moving point is given by a quadratic function of t, x = At 2 + Bt + C, then the average velocity over any time interval [t 1 , t 2 ] is equal to the instantaneous...
-
Home Depot, Inc. is the worlds largest home improvement retailer and one of the ten largest retailers overall in the United States. The firm operates more than 1,400 full-service, warehouse-style...
-
Alice, Bob, and Charlotte are looking for but-terflies. They look in three separate parts of a field, so that their probabilities of success do not affect each other. Alice finds 1 butterfly with...
-
Andy Harris owns Piano Tuning Service. The post-closing trial balance at 30 June 2025 is shown below. Ignore GST. Transactions completed during the year ended 30 June 2026 are summarised below. 1. ...
-
Explain why the cost of capital for a firm is equal to the expected rate of return to the investors in the firm.
-
Required information [The following information applies to the questions displayed below.] Income statements for the current year and one year ago, follow. Assume that all sales are on credit. For...
-
Apply Theorem 2 to find the inverse Laplace transforms of the functions in Problems 17 through 24. F(s) = 1 s(s+ 1)(s + 2)
-
Use the factorization to derive the inverse Laplace transforms listed in Problems 23 through 26. s4 + 4a4 = (s - 2as +2a) (s + 2as + 2a) ($2
-
[This is a continuation of Exercise 1032 in Chapter 10 and includes amortization.] On September 30, 2021, Athens Software began developing a software program to shield personal computers from malware...
-
A company uses a series of selection measures to try and predict future job performance. The company gives the test to all applicants and then checks new hires job performance levels 12 months later....
-
Five students will take the side of the high minimum wage countries and five students will take the opposite side. The two teams will debate the case for a high versus a low minimum wage in front of...
-
Temporary employees are being used with increasing regularity throughout the world. In France, one in five workers is on a temporary or part-time contract, and in the UK more than 25 percent of the...
-
Assume that you are employed at Yahoo as a marketing analyst and you have just been told that you no longer are allowed to telecommute from your home office. Instead, you will now be expected to do...
-
What do you consider to be the main challenges related to the issue of illegal immigrants in the workforce? State your reasoning. Illegal immigrant labor is a global HRM issue that arises from people...
-
When you buy a stock in the secondary market, does the firm that issued the stock receive cash?
-
General Electric Capital, a division of General Electric, uses long-term debt extensively. In a recent year, GE Capital issued $11 billion in long-term debt to investors, then within days filed legal...
-
1. Because the committee is very interested in using predicted first-year MBA grade point average in measuring the quality of applicants to its program, assist the members further by carrying out and...
-
1. Provide further assistance to Sam Easton by carrying out and interpreting the results of an appropriate Easton Realty Company (B) business case Photodisc/Getty Images stepwise regression designed...
-
1. Provide further assistance to Sam Easton by carrying out and interpreting the results of an appropriate Easton Realty Company (B) business case Photodisc/Getty Images stepwise regression designed...
-
Write a code program that will read in a set of temperatures T(N), determine an average, and then calculate the deviation of each temperature about the average D(N). The deviation is defined as...
-
Suppose that the following processes arrive for execution at the times indicated. Each process will run for the listed amount of time. Process Arrival Time Service Time ITT a. Choose two out of the...
-
Plot the following functions on the same plot where 0 < x <4 with 0.1 as increment: (1) f(x) = x (2) f(x) = x (3) f(x) = x Plot the first function with a dashed line and a black color, the second...
Study smarter with the SolutionInn App