If f(t) is continuous for t ¥ 0, the Laplace transform of f is the function F
Question:
and the domain of F is the set consisting of all numbers s for which the integral converges. Find the Laplace transforms of the following functions.
a. f(t) = 1
b. f(t) = et
c. f(t) = t
Transcribed Image Text:
Fs)f(ted
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 82% (17 reviews)
a This converges to 1s only if s 0 Therefore Fs 1s with domain s ...View the full answer
Answered By
Diane Joyce Pastorin
Please accept my enthusiastic application to solutioninn. I would love the opportunity to be a hardworking, passionate member of your tutoring program. As soon as I read the description of the program, I knew I was a well-qualified candidate for the position.
I have extensive tutoring experience in a variety of fields. I have tutored in English as well as Calculus. I have helped students learn to analyze literature, write essays, understand historical events, and graph parabolas. Your program requires that tutors be able to assist students in multiple subjects, and my experience would allow me to do just that.
You also state in your job posting that you require tutors that can work with students of all ages. As a summer camp counselor, I have experience working with preschool and kindergarten-age students. I have also tutored middle school students in reading, as well as college and high school students. Through these tutoring and counseling positions, I have learned how to best teach each age group.
4.60+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
If f(t) is continuous for t > 0, the Laplace transform of f is the function F defined by and the domain of is the set consisting of all numbers for which the integral converges. Find the Laplace...
-
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...
-
Suppose that 0 < f (t) < Meat and 0 < f (t) < Keat for t < 0, where f is continuous. If the Laplace transform of and the Laplace transform of f'(t) is G(s), show that G(s) = sF(s) - f(0) s > a
-
Sumit's age after 12 years will be 6 times his age 8 years back. What is the present age of Sumit? (a) 10 (b) 12 (c) 14 (d) 15 (e) 18
-
How would a lease create an asset and a liability for the lessee?
-
During the determination of the shrinkage limit of a sandy clay, the following laboratory data was obtained: Wet wt. of soil + dish = 91.04 g Dry wt. of soil + dish = 78.22 g Wt. of dish = 51.55 g...
-
Discuss the link between cash flows and value creation. What roles do timing and risk play in the value creation process?
-
Turgro Company manufactures a single product. Annual production costs incurred in the manufacturing process are shown below for two levels of production. Instructions (a) Define the terms variable...
-
Thinking about Nike's corporate practices, discuss your approach to starting a company that outsourced labor in order to reduce manufacturing costs. What decisions would you make to combine...
-
Consider a model economy in which each young person receives 200 units of the consumption good. There are 50 young people born each period. The total stock of fiat money is constant and equal to...
-
Determine how large the number has to be so that dx 0.001 x' + 1
-
Suppose that 0 f(t) Meat and 0 f'(t) Keat for t 0, where f' is continuous. If the Laplace transform of f(t) is F(s) and the Laplace transform of f'(t) is G(s), show that G(s) = sF(s) = f(0) , s...
-
In Problem write each series in expanded form without summation notation, and evaluate. 4 k=1 2k
-
Revenue $525,000 Sales Returns $13,900 Sales Discounts $12,400 Net Sales $498,700 Cost of Goods Sold $79,500 Gross Profit Gross Profit Margin % 84.06% Given the information above, what is the Gross...
-
If GDP was $3 trillion over a certain time period and aggregate expenditure was $2.8 trillion over the same time period, what should be expected to occur given that the country does not export?...
-
Consider a perfectly competitive firm with the following cost function: TC = 2(Q) + 1600 The firm sells its output for $168 per unit. A. B. C. D. Find the profit-maximizing level of output. Represent...
-
Change the from date on the graph on this site to 1960 tradingeconomics.com/canada/inflation-cpi Link 2 On the Bank of Canada site, review the following...
-
Explain a time you encountered non-uniform pricing, or price discrimination. Identify the type of price discrimination it was. Using the criteria necessary for price discrimination, evaluate how well...
-
For each of the following arguments, a. Translate the argument into standard form. b. Name the mood and figure of its standard-form translation. c. Test its validity using a Venn diagram. If it is...
-
In Problems 1522, find the principal needed now to get each amount; that is, find the present value. To get $750 after 2 years at 2.5% compounded quarterly.
-
Find y 9 and y 99 . y = cos (sin 3)
-
Calculate y'. y = cosh -1 (sinh x)
-
Find dy/dx by implicit differentiation. e x/y = x - y
-
The Presentation Layer ER Diagram shown in conjunction with part a below is focused around students who participate in sports and also enroll in classes. Please base your answer to this question on...
-
Establishment Industries borrows $1,040 million at an interest rate of 7.2%. It expects to maintain this debt level into the far future. Establishment will pay tax at an effective rate of 38%. What...
-
The current price of one share of XYZ stock is 56.50. A long straddle (one long call and one long put) on the stock with a strike price of K and one year to expiration has a total cost of 12.00. The...
Study smarter with the SolutionInn App