If f(t) F(s) and a 0 is a constant, show that This result is known as the change of scale theorem L ffat) a a...

If L F t fs and a 0 is a constant th ...

If {f(t)} = F(s) and a > 0 is a constant, show that This result is known

Question:

If ℒ{f(t)} = F(s) and a > 0 is a constant, show that

L{ffat)} a a

This result is known as the change of scale theorem.

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 03:40 AM

See More Questions

The importance of the divergence theorem in potential theory is obvious from (7)(9) and Theorems 13. To emphasize it further, consider functions f and g that are harmonic in some domain D containing...
Show that (9) in Sec. 12.6 with coefficients (10) is a solution of the heat equation for t > 0 assuming that f(x) is continuous on the interval 0 ¤ x ¤ L and has one-sided derivatives...
Show that if 0 < f (t) < Meat for t > 0, where M and a are constants, then the Laplace transform F(s) exists for s > a.
What do you think Dan Barry means when he claims that Ring Dings taste like America?
What are an advantage and disadvantage of direct deposit?
Which of the following assumptions is not required for Miller and Modiglianis (MM) dividend theory? A. There are no taxes. B. Investors sort themselves into dividend clienteles. C. Shareholders have...
Zapata, a Texas company, entered into a contract for Unterweser, a German company, to tow an oil-drilling rig from Louisiana to Italy. The contract stated, Any dispute arising must be treated before...
Doris Stann started her practice as a design consultant on September 1, 2017. During the first month of operations, the business completed the following transactions: Sep. 1 Received $47,000 cash and...
Men Conference Ltd has an authorized share capital of 60,000,000 ordinary shares of Sh. 10 each and 500,000 shares of Sh. 50 each. The following trial balance of the company was extracted as at 31.12...
The average life expectancy for an elephant is 24 years longer than the life expectancy for a chimpanzee. If the total of these life expectancies is 130 years, find the life expectancy of each.
In problem use Theorem 7.4.3 to find the Laplace transform of the given periodic function. THEOREM 7.4.3 If f (t) is piecewise continuous on [0, ), of exponential order, and periodic with period T,...
In problem write each function in terms of unit step functions. Find the Laplace transform of the given function. [2, f(t) 1-2, 0
A machine costs $380,000 and is expected to produce the following cash flows: If the cost of capital is 12%, what is the machine'sNPV? Year 1 2345 6 79 0 68 50 Cash flow ($000s) 50 57 75808592
Your bookkeeper extracted a trial balance on 31 December 2016 which failed to agree by 860, a shortage on the credit side of the trial balance. A suspense account was opened for the difference. In...
A and B are in partnership sharing profits and losses 3:2. Under the terms of the partnership agreement, the partners are entitled to interest on capital at 5 per cent per annum and B is entitled to...
You have extracted a trial balance and drawn up accounts for the year ended 31 December 2014. There was a shortage of 78 on the credit side of the trial balance, a suspense account being opened for...
Michael Baldwin owns B's Casuals, a company specialising in low-quality, high-priced clothing. The material is purchased from Canada, made up into the finished garments in his own factory, and then...
A forest ecologist takes readings of soil moisture and organic content at one meter intervals sequentially along a transect (a straight line along the ground). If soil moisture is regressed on...
Refer to Gendron Products in E12-46B. Compute the IRR of each project and use this information to identify the better investment. Refer to E12-46B Use the NPV method to determine whether Gendron...
Which task is performed by a book-keeper? A. Analysing the trading results B. Entering transactions in the ledger C. Preparing year-end financial statements D. Providing information for...
Implement the test in Problem 9.53, and report a two-tailed p-value? Another important variable in the epidemiology of breast cancer is BMI, which has been found to be related to both serum estradiol...
What test can we use to perform the analysis if we dont want to assume that TBUT is normally distributed?
1. Implement the test in Problem 9.55, and report a p-value (two-tailed). 2. Answer the question in Problem 9.56 comparing TBUT time 5 minutes after drop instillation vs. TBUT before instillation. 3....
I. For each of the following functions, do the following: a. Determine if f is continuous at a. b. Determine if f is differentiable at a. 1. 5-6x if x3 f(x)=-4-x ifx>3 ; a=3 4. f(x)= x-9 if x <3 ;a=3...
Molander Corporation is a distributor of a sun umbrella used at resort hotels. Data concerning the next month's budget appear below: Selling price per unit Variable expense per unit Fixed expense per...
Consider the simplest complex constellations of 8-PSK and 16-PSK which sends symbols along both the I and Q components, as shown in Fig. 1. Let E denote the average transmit power, and 2 the variance...

If {f(t)} = F(s) and a > 0 is a constant, show that This result is known

Question:

L{ffat)} a a

Step by Step Answer:

If L F t fs and a 0 is a constant th...View the full answer

A First Course in Differential Equations with Modeling Applications

Students also viewed these Mathematics questions