Find the Laplace transforms of the following functions, using the information in Table 3.1. (However, some of
Question:
(a) f(t) = 5 + e3t + te4t
(b) f(t) = sin(4t) + t 3 + e(t3) + 5/t
(c) f(t) = t cos(4t) + t/5
(d) f(t) = (t1) cos(4(t1)) + t2
Transcribed Image Text:
Table 3.1 Laplace Transforms for Various Time-Domain Functions* F(s) f() 1. 6(1) (unit impulse) 2. S(t) (unit step) 3. t (ramp) (п - 1)! 4. pi-1 5. e-br s+b 6. -et TS + 1 "-le-bt 7. (п — 1)! (n > 0) (s + by 1 -m-le/t 8. T"(п — 1)! (ts + 1)" -(e-bt – e-bit) 9. b, – b2 (s + b, )(s + b2) 1 (e/i - e¬/2) 10. (t,s + 1)(t,8 + 1) b3- b2b! b, – b, b3- b1 s+b3 (s + b, )(s+ b,) -bit 11. b, – b, 12. 1, -13-1/1 + T38 +1 (t,5 + 1)(t,8 + 1) 13. 1 – e-tk s(Ts + 1) 14. sin ot s2 + o? 15. cos ot s2 + o? O cos o +s sin o 16. sin(@t + 4) s2 + m? 17. e-b' sin ot } b,o real (s + b)2 + @? 18. e-bt sin ot s+b (s + b)? + o? 19. çe-W/* sin(V1- ?t/t) T2s2 + 2(ts +1 (0 < ISI < 1) 1 20. 1+ -(t,e~/ti – t,e-l/*3) s(T,s + 1)(T,5 + 1) (T, # T,) 21. 1– -u/t sin[ /1-?t/r+ w] V1-? s(r?s² + 2¢ts + 1) V1-? Y = tan- (0 < I3I < 1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 58% (12 reviews)
a ft 5 e 3t te 4t Transform each term using rules 2 5 and 7 from Table 3...View the full answer
Answered By
Khurram shahzad
I am an experienced tutor and have more than 7 years’ experience in the field of tutoring. My areas of expertise are Technology, statistics tasks I also tutor in Social Sciences, Humanities, Marketing, Project Management, Geology, Earth Sciences, Life Sciences, Computer Sciences, Physics, Psychology, Law Engineering, Media Studies, IR and many others.
I have been writing blogs, Tech news article, and listicles for American and UK based websites.
4.90+
5+ Reviews
17+ Question Solved
Related Book For
Process Dynamics and Control
ISBN: 978-1119385561
4th edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellichamp, Francis J. Doyle
Question Posted:
Students also viewed these Physics questions
-
Obtain the inverse Laplace transforms of the following functions: (a) (b) Y(s) = 1/s(s + 1)2 (c) Z(s) 1/s(s + 1) (s2 + 6s + 10) +5+55
-
Find the Laplace transforms of the following: (a) g(t) = 6cos(4t 1) (b) f (t) = 2tu(t)+ 5e3(t2)u(t 2)
-
Find the inverse Fourier transforms of the following functions: (a) (b) (c) (d) 100 (a)E jojo+10) 10) Ho)--w +J600-1300 lt 5(o)
-
A 100-m-long conductor of uniform cross section has a voltage drop of 4 V between its ends. If the density of the current flowing through it is 1.4 x 106 (A/m2), identify the material of the...
-
Some evidence suggests that there is a direct and positive relationship between a firm's size and its top-level managers' compensation. Explain what inducement you think that relationship provides to...
-
Smith Corporation produces bucket loader assemblies for the tractor industry. The product has a long-term life expectancy. Smith has decided to implement a JIT inventory system. Smith is deciding...
-
Jayhawk Oil Companys production for Lease A and Lease B is gathered into a common system and sold. Total sales for the month are 6,562 barrels. Assume the following data for Lease A and Lease B:...
-
Answer the following questions. a. Which department is responsible for initiating the purchase of materials? b. What is the name of the document generated by the department identified in (a) above?...
-
A simple random sample of 10 pages from a dictionary is obtained. The numbers of words defined on those pages are found, with the results n = 10, x=55.4 words, s = 16.2 words. Given that this...
-
Reba Dixon is a fifth-grade school teacher who earned a salary of $38,000 in 2020. She is 45 years old and has been divorced for four years. She receives $1,200 of alimony payments each month from...
-
Go to the Excellence Canada website at www.nqi.ca and research several companies that have won the different awards. Describe any common characteristics that the quality-management programs in those...
-
Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component functions found in Table 3.1. 10 f(t) 3 t (min) Figure E3.2 Slope = -a u(t) tw Figure E3.3 Triangular...
-
Your roommate, Tom Jones, contends that accounting contributes to most of the steps in managements decision-making process. Is your roommate correct? Explain.
-
In Erphalene ' s Restaurant, fixed costs are 30 percent of sales, and directly variable costs are 25 percent. What percentage of sales should semivariable costs be if the restaurant is to show a 10...
-
Jane is a portfolio manager for ABC Capital.She forecasts that the common stock of XYZ Corp, which ABC intends to buy, and which is now priced at $60, will most probably increase in the near future...
-
Generally how does your organization respond when an employee incurs an occupational injury or illness (from the point that the injury or illness occurred to the point that the individual is able to...
-
When investing, you put $220,000 into a fund that earns 3.95 % p.a. compounded monthly for 22 years and didn't touch it. At the end of the 22 years, how much is the fund worth
-
The following amounts were reported by Wildhorse Company before recording an adjustment for its immaterial overapplied manufacturing overhead of $9,760. Raw Materials Inventory $48,800 Finished Goods...
-
Programming Exercise 24.12 retrieves the last 100 prime numbers from a file PrimeNumbers.dat. Write a client program that requests the server to send the last 100 prime numbers in an ArrayList. Name...
-
If (x) 0 on the interval [a, b], the definite integral gives the exact area under the curve between x = a and x = b.
-
Use Eq. 3.1 to show that the Laplace transform of (a) e-bi sin wt is z9 + z{9 + s) (b) e-di cos ef is 6+ by + o?
-
A student has Laplace transformed an ordinary differential equation (ODE) and obtained the following transform: . The following facts are known: (i) The original ODE had all zero initial conditions....
-
Figure shows a pulse function. (a) From details in the drawing, calculate the pulse width, t. (b) Construct this function as the sum of simpler time elements, some perhaps translated in time, whose...
-
[STAT6032 ONLY] Use the Bonferroni method to compare the following treatments (i.e. these four specific level combinations of speed and depth): (2,3), (2,4), (3,3) 6%). Calculate the critical...
-
Provide a purchase journal entry of a product (50$ above), which is comprised of a rational cognition purchase decision, extensive problem-solving decision, ideal state opportunity recognition,...
-
12345 1 Income Statement 2021 2020 2019 2018 Period Ending: 30/06 30/06 30/06 30/06 5 Total Revenue 671.74 598.85 784.51 777.95 6 Revenue 671.74 598.85 784.51 777.95 7 Other Revenue, Total 8 Cost of...
Study smarter with the SolutionInn App