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...
-
Select a terror attack within the last year that occurred outside of the United States and write a current event review. Be sure to include the perceived impact of the event on the Homeland Security...
-
10. ROLE REVERSAL Write a short-answer question focusing on one of the following: a fixture, an easement, or adverse possession.
-
The following transactions pertain to Smith Training Company for 2016: Jan. 30 Established the business when it acquired $45,000 cash from the issue of common stock. Feb. 1 Paid rent for office space...
-
Thank you so much for helping I will give thumbs up immediately. This is 6 SHORT problems I just need accurate answer and clear computation. Those picture below are properly sequenced. Thank you so...
-
Given the following information, please calculate after tax cash flow for year 1. Assuming a sales price of $1,100,000, please calculate the after tax cash flow from the sale (dont forget the...
-
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...
-
The management of Langdale Mill is considering replacing a number of old looms in the mill's weave room. The looms to be replaced are two 86-inch President looms, sixteen 54-inch President looms, and...
-
what ways does role distance, as conceptualized by Erving Goffman, illuminate the strategies individuals use to navigate and negotiate the expectations associated with their social roles ?
-
What role does institutionalization play in the stability and reproduction of social roles across various social structures, such as family, education, and the workplace ?
-
How does the concept of role-taking in symbolic interactionism contribute to our understanding of the development of the self and the formation of social identities ?
-
1 3 0 2 3 4 Let A-1 21 and B= 1 2 3. Show that AB + BA. 002 1 2
-
Mademoiselle Company produces women's handbags. The cost of producing 1,180 handbags is as follows: Direct materials Direct labor Factory overhead Total manufacturing cost $14,000 8,800 6,500 $29,300...
-
On January 1, 2019, ForeRunner Inc. enters into a contract with a sporting goods company to provide 100 GPS-enabled watches for $25,000 ($250 per watch) over the next 6 months. On April 1, 2019, when...
-
Why is the national security argument for tariffs questionable?
-
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...
-
A type of recruitment strategy that involves a planned program to access potential candidates who are known to current employees is the: Question 1 1 Answer a . campus recruitment program b ....
-
As noted by Corning, talent planning connects what to what? Group of answer choices business strategy into talent strategy strategic advantage into reality employees to training and development...
-
Heather is given a promotion by her manager without that position being advertised or even being open for others to apply. This is an example of: Group of answer choices Covert advancement Job...
Study smarter with the SolutionInn App