If we assume that {f(t)/t} exists and {f(t)} = F(s), then Use this result to find the

Question:

If we assume that ℒ{f(t)/t} exists and ℒ{f(t)} = F(s), then

F(u)du.

Use this result to find the Laplace transform of the given function. The symbols a and k are positive constants.

(a) f(t) = sin at/t

(b) f(t) 2(1 – cos kt)/t

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

Step by Step Answer:

Related Book For book-img-for-question

A First Course in Differential Equations with Modeling Applications

ISBN: 978-1111827052

10th edition

Authors: Dennis G. Zill

See More Books

Question Posted: Nov 02, 2020 03:41 AM

See More Questions

6. Apply the translation theorem to find the Laplace transform of the following function. f(t) = e -7" sin 2nt 2 Click the icon to view the table of Laplace transforms. (Type an exact answer in terms...
8. Find the Laplace transform of the function f(t). ft) = 4 if 0St <2; f() = 0 ift22 3 Click the icon to view a short table of Laplace transforms. F(s) = 3: A Short Table of Laplace Transforms f(t)...
Find the Laplace transform of the following functions: (a) t cos t u (t) (b) e-t t sin t u (t) (c) sin t/t u(t)
Instructions: Read the footnotes included in the financial statements for H & B Bakery, then answer the following questions. *The exact requirement of this question, is to read the statements below...
You have been hired as a consultant for a company facing an IRS audit of their accounting records. During your review, you notice anomalies in the payroll system involving overpayments of labor and...
What are some advantages/disadvantages of frequent performance evaluations? Consider this from the perspective of a supervisor and also from the perspective of an employee.
Let total market demand for labor be represented by ED = 1,200 30w where ED is total employment and w is the hourly wage. Suppose 750 workers supply their labor to the market perfectly...
With interest rates at historic lows in the United States, what is the effect on the optimal rate of extraction for a Texas oilfield owner? Explain the intuition that supports your answer.
Consider a project that requires an investment of $1700 in the first year, but will generate a NPV of $80. Calculate the profitability index value of this project.
On January 1. Ruiz Company issued bonds as follows: Face Value: Number of Years: Stated Interest Rate: Interest payments per year 500,000 15 7% Required: 1) Calculate the bond selling price given the...
In problem use the Laplace transform to solve the given initial value problem.
Because f(t) = ln t has an infinite discontinuity at t = 0 it might be assumed that {ln t} does not exist; however, this is incorrect. The point of this problem to guide you through the formal steps...
What are the possible causes of overhead variances?
1. What is a good critique for a case study design not suitable for a research topic " Servant leadership and its impact on employee well-being" 2. What are some key arguments for using a...
4. In this circuit, find V1, V1, V2 V3, It, Ii and I2. 5. In this circuit, find R3, I1, I2, It, Is and I. Vy=120 V IT = 6.0 A 6. In this circuit, find I, R, and R2. IT=4.0 A R1 = 60 2 R1 =602 R2 = 12...
1. What are the terms ao, a, A, and a3 of the sequence [an], where an equals a. (n+1)(n+1) b. [n/2]+[n/2] 2. For the following questions, find a formula that generates the following sequence a, a2,...
Use the following selected data from Business Solutions's income statement for the three months ended March 31, 2022, and from its March 31, 2022, balance sheet to complete the requirements. Computer...
10. (20pts) Describe in English, the language defined by the following grammar: a | a b | b c | C
A piece of equipment that cost $64,800 and on which $36,000 of accumulated depreciation had been recorded was disposed of on January 2, the first day of business of the current year. For each of the...
For the following exercises, find the area of the triangle. Round to the nearest hundredth. 22 50 36
Suppose we are uncertain whether a normal distribution provides a good fit to the distribution of age at spermatogenesis. Answer this question using the results from Problems 10.4710.49. (Assume that...
Suppose mean age at spermatogenesis = 13.67 years, with standard deviation = 0.89 years and we assume that the age at spermatogenesis follows a normal distribution. The pediatrician would like to...
If we assume that all boys have no sperm cells at age 11 (11.0 years) and all have sperm cells at age 18, then estimate the probability of first developing sperm cells at ages 12 (i.e., between 12.0...
A friend owes you $500 in 1 year from now, and then $1000 2 years from now. Both loans are at 5%. If you want to replace both of these loans with ONE PAYMENT NOW, how much would your friend give you ?
If the amount of retained earnings at the beginning of the year was $ 3 0 , 0 0 0 , and $ 1 2 , 0 0 0 in dividends is paid during the year, calculate net income for the year.
On January 2, 20Y4, Whitworth Company acquired 33% of the outstanding stock of Aloof Company for $330,000. For the year ended December 31, 20Y4, Aloof Company earned income of $86,000 and paid...

If we assume that {f(t)/t} exists and {f(t)} = F(s), then Use this result to find the

Question:

F(u)du.

Step by Step Answer:

We know that L ft fudu Lft fs a ft t sin at Let gt sin at Lgt Lsin at a Gs 4 ft 98 ...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions