Question: Use the derivative theorem to derive the Laplace transform of cos (at) from the Laplace transform of sin (at).

Use the derivative theorem to derive the Laplace transform of cos (at) from the Laplace transform of sin (at).

Step by Step Solution

★★★★★

3.40 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

d sin ax dx cd si... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Physical Chemistry Questions!

Q:

Find the Laplace transform of cos 2 (at).

Q:

The Laplace transform, named after the French mathematician Pierre-Simon de Laplace (1749-1827), of a function f(x) is given by L{f(t)}(s) = Laplace transforms are useful for solving differential...

Q:

(a) The Laplace transform of α piece wise continuous function f(t) with period p is Prove this theorem. Write « 0 = « p 0 + « 2p p + . . .. Set t = (n - 1)p in the nth...

Q:

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...

Q:

CARLETON UNIVERSITY Department of Systems and Computer Engineering SYSC 3610 - Biomedical Systems, Modeling, and Control Fall Semester, 2016 Assignment #1 Assigned: 21-September-2016 Due: in drop-box...

Q:

Problem 1 (9pt) In this question, we will find the Laplace transform of cos wt in three different ways. (a) Follow the three steps to find the Laplace transform of cos wt from scratch. Show Cletat =...

Q:

3. (10 marks) (a) Use integration to derive the Laplace Transform of 2 cos 3t. (b) Find the Laplace Transform of 2e~* cos 3t. Show clearly how you arrived at your answer. (c) Use Laplace Transforms...

Q:

Apply the translation theorem to find the Laplace transform of the following function. f (t ) = tent Click the icon to view the table of Laplace transforms. Reference f (t ) = e-1{F(s)} 2{f(t)} =...

Q:

2. Calculate the instantaneous slope for the given function or curve at the specified point. a) 2:2 my + y2 = 3 at (1,1) M y =1n(ex+1+ a753? at (0:1) c) y = (cos If at (0,1) (Dy =(\\/)1\" at (111)...

Q:

Solve 4-6 step by step please 4. [-/10 Points] DETAILS Find the inverse Laplace trnsform of 2s2 - 6s - 3 F (s) = (s - 2) ($2 + 3) f (t ) = *symbolic formatting help Submit Answer 5. [-/5 Points]...

Q:

Create a boxplot for the data in Exercise 5.1. In Exercise 5.1 The data follow: 54 52 51 50 36 55 44 46 57 44 43 52 38 46 55 34 44 39 43 36 55 57 36 46 49 46 49 47

Q:

An operator took twenty N=200 samples at a workstation in a production process. The number of defective items in each sample was recorded as follows: Sample number of defects 1 12 2 3 3 0 4 3 5...

Q:

You are preparing a risky portfolio using a set of stocks you consider undervalued ( your active portfolio ) and the SPY exchange traded fund ( passive portfolio ) . What proportion of your portfolio...

Q:

1.2 understand the context in which research ethics has been developed;

Q:

Test for the statistical significance of the regression line using the t test? Hematology The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. Table 11.17: Hematologic data for...

Q:

What are the standard errors of the slope and intercept for the regression line in Problem 11.1? Hematology The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. Table 11.17:...

Q:

What is the z transformation of .34? Hematology The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. Table 11.17: Hematologic data for patients with aplastic anemia

Q:

Why was the United States an attractive destination for British American emigrants?Group of answer choicesGreater democratic participation in Jacksonian institutionsGrowing industrial employment and...

Q:

Sony International has an investment opportunity to produce a new HDTV. The required investment on January 1 of this year is $165 million. The firm will depreciate the investment to zero using the...

Q:

GRADE 11--- Put the solution please X 30 .25 .15 15 P(x) He ra 4. 0 1 2 3 4 X 0.15 0.35 0.30 0.10 G(x) 0.10 5 The 15 22 33 foll X 11 45 0. 1 0.2 0.3 0.1 H(x) 0.3 ions Compute the MEAN, VARIANCE AND...