3

Integral:sin[4(t -= w)]y(w) dw 622This equation is defined for t 2 0_a) Use convolution and Laplace transforms to find the Laplace transform of the solution. Obtain...

Question

Integral:sin[4(t -= w)]y(w) dw 622This equation is defined for t 2 0_a) Use convolution and Laplace transforms to find the Laplace transform of the solution. Obtain the solution y(t) .Enter your answer as symbolic function of S, as in these examples3*(1/5+4/s^3) Problem #8(a): 3(} 3)Enter your answer as symbolic function of t, as in these examples3*(t+2*t^2) Problem #8(b): 3(t + 2t2)Just SaveSubmit Problem #8 for GradingProblem #8 Attempt #1 Attempt #2 Your Answer +16) 8(a) 8(a) 60} 8(b) 2 + 24/

integral: sin[4(t -= w)]y(w) dw 622 This equation is defined for t 2 0_ a) Use convolution and Laplace transforms to find the Laplace transform of the solution. Obtain the solution y(t) . Enter your answer as symbolic function of S, as in these examples 3*(1/5+4/s^3) Problem #8(a): 3(} 3) Enter your answer as symbolic function of t, as in these examples 3*(t+2*t^2) Problem #8(b): 3(t + 2t2) Just Save Submit Problem #8 for Grading Problem #8 Attempt #1 Attempt #2 Your Answer +16) 8(a) 8(a) 60} 8(b) 2 + 24/2 8(b) 6 + 24/2 Your Mark: 8(a) 0/2X 8(a) 0/2x 8(b) 0/2x 8(b) 0/2x Attempt #3 Attempt #4 Attempt #5 8(a) 36} 8(a) 8(b) 8(b) 3(t + 212) 8(a) 0/2X 8(a) 8(b) 0/2x 8(b) 8(a) 8(b) 8(a) 8(b)



Answers

14. Find the Laplace transform of
$f(t) :=\int_{0}^{t} e^{v} \sin (t-v) d v$.

Let's find the laplace transform of our function F f t. So we C squared the laplace transform F of AIDS. It's equal to the integral from 0 to Infinity of t square E. Experience minus S t d C. And this is what our limits. As B approaches infinity. What do I have one over is cube minus S craig t squared minus two S t minus two E. Exponent minus S T. The interval is from server to be and this is going to give us two divided by sq yes, should be greater than so.

Let's find a laplace transform of our function f f t so we c squared. Allah please transform F of AIDS. It's equal to the integral from 0 to Infinity of t square E experience minus S t d C. And this is what our limits. As B approaches infinity. What do I have one over is cube minus S grade t squared minus two S t minus two E. Exponent minus S T. The intervals from server to be. And this is going to give us two provided by sq Yes, should be greater than so.


Similar Solved Questions

5 answers
Point) The density function of X is given bya + bz2 f(z) = if0 < € < 1 {o otherwiseIf the expectation of X is E(X) = 0.375, find a and b.
point) The density function of X is given by a + bz2 f(z) = if0 < € < 1 {o otherwise If the expectation of X is E(X) = 0.375, find a and b....
5 answers
21) A EXPLAIN: (20 points. The interactions betweenA. RESPIRATION;B. COz build up in lungs;C. Show the reaction of CO2 and H2O. Show Acid content of blood;D. Sketch Abnormal Hemoglobin Oxygen Saturation Curve.T001 1 L100Oxygen Fartial Pceksure (uuuHg)
21) A EXPLAIN: (20 points. The interactions between A. RESPIRATION; B. COz build up in lungs; C. Show the reaction of CO2 and H2O. Show Acid content of blood; D. Sketch Abnormal Hemoglobin Oxygen Saturation Curve. T00 1 1 L 100 Oxygen Fartial Pceksure (uuuHg)...
5 answers
135 is to 8 aS x is to 24 2
1 35 is to 8 aS x is to 24 2...
5 answers
What is the correct electronic configuration for Bromine (Z = 35) taking into account the proper order for filling the subshells? a 1522522p63523p64s23d104p65524d105p66s24f145d10 1s22522p63523p64s23d104p5[Kr]Apd [Arjap5 0e1s22522p63523p64s24p5
What is the correct electronic configuration for Bromine (Z = 35) taking into account the proper order for filling the subshells? a 1522522p63523p64s23d104p65524d105p66s24f145d10 1s22522p63523p64s23d104p5 [Kr]Ap d [Arjap5 0e1s22522p63523p64s24p5...
5 answers
The shape represents a backyard where the house is attached t0 te longest side of the backyard. Determine how many sectons df fencing i needed if fencing is sold in 6ft sections_
The shape represents a backyard where the house is attached t0 te longest side of the backyard. Determine how many sectons df fencing i needed if fencing is sold in 6ft sections_...
5 answers
Seth deposits X In an account todayin order to fund his retirement He would like to receive paymcnts of $100 per year; Inreal terms at the end of cach year for _ total of 15 vears; with thc first payment occurrine sx ycars Iror The inllstion rate wil be 0.0% Ior the next vers and 5%8 per annum thereaiter The annual effectivc rate af Interost Is 3 1%. Calculte X
Seth deposits X In an account todayin order to fund his retirement He would like to receive paymcnts of $100 per year; Inreal terms at the end of cach year for _ total of 15 vears; with thc first payment occurrine sx ycars Iror The inllstion rate wil be 0.0% Ior the next vers and 5%8 per annum there...
5 answers
2.(13 pts:) Find the area of the surface generated by revolving the curve y V2 < 1 < V6 about the y-axis_12 for
2.(13 pts:) Find the area of the surface generated by revolving the curve y V2 < 1 < V6 about the y-axis_ 12 for...
5 answers
Property Taxes 21860 17463 18232 15691 43998 33674 15233 16760 18247 16777 15164 36087 31021 42137 14374 38935 25336 22947 16177 29226Size 2486 2447 1851 1000 5688 2547 2221 1913 2013 1368 1393 3099 2808 3322 1582 4096 4047 2471 3551 284540 11 12 13 15 16 17 18 19 20 21 22 23
Property Taxes 21860 17463 18232 15691 43998 33674 15233 16760 18247 16777 15164 36087 31021 42137 14374 38935 25336 22947 16177 29226 Size 2486 2447 1851 1000 5688 2547 2221 1913 2013 1368 1393 3099 2808 3322 1582 4096 4047 2471 3551 2845 40 11 12 13 15 16 17 18 19 20 21 22 23...
5 answers
Given the system of equationsT2 x3Use an augmented matrix and elementary rOWreduction (show your work) to find all values for & and B so that the system of equations has(2pts) unique solution. Answer:2pts) an infinite number of solutions_ Answer:(2pts) IO solution Answer:
Given the system of equations T2 x3 Use an augmented matrix and elementary rOW reduction (show your work) to find all values for & and B so that the system of equations has (2pts) unique solution. Answer: 2pts) an infinite number of solutions_ Answer: (2pts) IO solution Answer:...
5 answers
2x2_50 3x+15Consider the function g(x)[4 points] Does lim_ g(x) exist? If s0, what is it equal to? X--5[2 points] Is g(x) continuous at x =~ 5? If s0, why is it continuous at x =- 52 If not; why is it not continuous at x = _52[4 points] Determine whether the following limit exists:lim g(x) r-0
2x2_50 3x+15 Consider the function g(x) [4 points] Does lim_ g(x) exist? If s0, what is it equal to? X--5 [2 points] Is g(x) continuous at x =~ 5? If s0, why is it continuous at x =- 52 If not; why is it not continuous at x = _52 [4 points] Determine whether the following limit exists: lim g(x) r-...
1 answers
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote. $ y = \dfrac{x^2}{x - 1} $
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote. $ y = \dfrac{x^2}{x - 1} $...
5 answers
Listed below is the rate of return for one year (reported inpercentage) for a sample of 12 mutual funds that are classified astaxable money markets funds:4.634.154.764.704.654.524.705.064.424.514.244.52Using the 0.025 significance level, is it reasonable to concludethat the mean rate of return is more than 4.50%?
Listed below is the rate of return for one year (reported in percentage) for a sample of 12 mutual funds that are classified as taxable money markets funds: 4.63 4.15 4.76 4.70 4.65 4.52 4.70 5.06 4.42 4.51 4.24 4.52 Using the 0.025 significance level, is it reasonable to conclude that the mean rate...
5 answers
Y() = y() (2 _ 3y(2) + y(w)?)?
Y() = y() (2 _ 3y(2) + y(w)?)?...
5 answers
Use the integrating factor method to find the general solution of thc first-order linear differ- @IlGial eqquation Ty" 2y = 1e21 which satisfies y(1) = 0.
Use the integrating factor method to find the general solution of thc first-order linear differ- @IlGial eqquation Ty" 2y = 1e21 which satisfies y(1) = 0....
5 answers
The length of a rectangular Pool width?Me less than twice the width. If che Pools perimcter M0 meters whzc theWrite an equation t0 model the problem. Use Answver:repicecut tlie width ofthe pool:6) Solve the equation hnd the wicth ofthe pool (Nofe; Inchucke che unics; thus czse m); Answer;
The length of a rectangular Pool width? Me less than twice the width. If che Pools perimcter M0 meters whzc the Write an equation t0 model the problem. Use Answver: repicecut tlie width ofthe pool: 6) Solve the equation hnd the wicth ofthe pool (Nofe; Inchucke che unics; thus czse m); Answer;...

-- 0.022028--