1 -s F(s) = e = -+ s2 e-3s
Q: (2) Find the Inverse Laplace transform of the following -5s е -3s е а) s2+16 b) s²+1 se-s c) s2+4
A: By using table of Laplace transform we solve the given problem as follows :
Q: 3. f(t) = t°e^(-4t) 4. f(t) = (e^(10t)) sin(2t)
A:
Q: Find the Laplace Transform of e-2* cos3t + 5e-2t sin3t (s+2) + 15 A) (s2+4s) + 13 15 + s2+9 В s2+9…
A:
Q: s² + 1 L-1 [s(s - 1)(s + 1)(s – 2)
A:
Q: Show your complete solution in finding the Laplace transform of the following: 3.1. 3.2 3.3
A:
Q: Find the inverse Laplace transform of F(s)=(7s−6)/(s2−4)
A:
Q: Part II. Find the Inverse Laplace Transform of the following: 8s2-4s+12 1. F(s) s3+4s 10 2. F(s) :…
A: according to our guidelines we can answer only three subparts, or first question and rest can be…
Q: Solve the following Initial Value Problem using Laplace transform: y" – 15y + 14y= e" -10t y(0) = 1,…
A: We are given that;y''-15y'+14y =e-10t; y(0)=y'(0)=1Taking laplace transforms on both the sides;s2…
Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) : s2+25
A:
Q: Inverse Laplace transform for e 2s is ... (s+3)2
A:
Q: Example 5 : Using Laplace transform method, solve (D² +1)y = 6 cos 2t,t > 0 If y = 3, Dy = 1 when…
A: The given problem is to solve the given initial value problem with given initial conditions using…
Q: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…
A:
Q: I. Find the inverse Laplace Transform of the following а. s3-5s
A:
Q: 2. e-4t sin (8t)
A:
Q: Find the inverse Laplace transform of 10s-17 s2–18s+19
A: We will first break it into partial fraction
Q: Fin, the Inverse Laplace TranSForm 10-4s 21) F(s) =- (s - 2)° Ans. f(1)=e² (21 – 4)
A:
Q: Find the inverse Laplace transform of [(18s)/((s2+9)2)]e-2s
A:
Q: Discuss comprehensively the process of determining the Inverse Laplace transform of: s4 – 7s3 + 13s2…
A:
Q: 4. Solve the initial value problem: y" + 3y' – 10y = 0, y(0) = 1, y'(0) = 0 -
A:
Q: 3s + 4 Find the inverse Laplace transform, L-1 ((s + 1)2.
A:
Q: QUESTION 10 The Laplace transform of t sin(3t) 6s (s² -9)? 6s (s²+9)? 6s
A:
Q: 1- 2e+ e-25 F(s) 2
A:
Q: s+3 3.) f(s) = (s²+6s+10)2
A:
Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").
A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)
Q: 1 Find the inverse Laplace transform of - (s+1)(s²+1)
A:
Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) s²+25
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: 12. Evaluate the inverse Laplace transform of a. 10e-5t b. 10e-t C. 10e-50t d. 10te-50t 10 S+50
A:
Q: Find the inverse Laplace transform of e-6s F(s) = s2 + 3s – 10 (Use step(t-c) for u (t) .)
A: The given problem is to find the inverse Laplace transform of the given function F(s). Given…
Q: 2. By Laplace transform, solve the D.E. y' + 2y = 3te-2t, y(0) = 4.
A: Using Laplace transformation,
Q: 3. e-9t cos(3t) + 5e-2t sin(3t)
A:
Q: 2) Find the inverse Laplace transform of (s + 1) b) s2 + 2s + 10 26 – s? - a) s(s? + 4s + 13)
A:
Q: Solve the following initial value problem (IVP) of y" – 3y - 10y = 2 where y(0) = 2 and y (0) = -1.…
A:
Q: What will be the constant in the Inverse Laplace Transform of ? s(s3-8) 3 O 1/8 O 3/8 O 1/4 O -3/8
A: We have to find the constant part in the inverse Laplace transform.
Q: Question 13 Find the Laplace Transform of h(t) = t? sin(2t) 4s2 – 3 A H(s) (s2-4)3 3s2 -4 B H (s) =…
A: For the solution follow the next steps.
Q: 2s + 3 Find the Inverse Laplace Transform of (s+4) 3
A:
Q: Q2:Find the inverse Laplace transform of e-2s F (s) s2 – 2s – 3 - -
A: We have to find the inverse Laplace transform of given function.
Q: A function has a Laplace transform of F(s) = If this function is %3D s2-36 multiplied by t², what…
A:
Q: Find the Inverse Laplace transform of s – 1 s +1 + s2 1 - F(s) = (s² + 2s + 4) (s² + 5s + 6)
A: Simplify the function and then apply Inverse Laplace transformations to it. Solve it further to get…
Q: 1. Use the Laplace transform to solve the given initial-value problem. y' - 3y = 8(t - 5), y(0) = 0…
A:
Q: 3. Find the inverse Laplace transform of the ff. а. (s+1)(s+2)2 10 b. s(s+2)(s+3)2
A:
Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.
A:
Q: Find the Laplace transform of te s+1 (s+1) (s-1)2
A:
Q: By using Laplace transform to solve y +y = tet with y (0) = -2, what would the particular solution…
A:
Q: 1 Find the inverse Laplace transform of F(s) = s2 + 4s + 5
A:
Q: 3) y" - 9y = t , y(0) = 1 , y'(0) = 2
A:
Q: 2s +3 Find the Inverse Laplace Transform of (s+4)3
A:
Q: Explain your solution to the following problem: use the Laplace transform to solve the given…
A:
Q: 10. Find the Laplace transform of t³ + 2t - 4. a. b. C. d. 3 ||0|0| + + + + ~~~~~~~~ - - - - 5…
A: Given f(t) = t3 + 2t - 4
Q: (2) Find Inverse Laplace transform for; 3 1 (1)F(s)=- 3 (2)F(s)= s? +4 (3)F(s)= s (s +1) s (s² +16)
A: Find the inverse Laplace as per our company guidelines we are supposed to answer ?️only first 3️⃣…
Q: Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and…
A: Step:-1 Note:- Some Laplace Transform 1. Lδt-a = e-as for a>0 2. Lyt=ys and L-1ys=yt 3.…
I want to solve the problem of Laplace transform.
Step by step
Solved in 2 steps with 2 images
- The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or go organic (i.e. without fertilizer). In case of using a fertilizer, 10kg of either the Platinum or Standard type fertilizer would be needed at the start of the planting year. The Platinum type is GH¢1000 per kilogram and could lead to a high yield of 30 tons or a moderate yield of 20 tons of yam at the end of the year. The Standard type is GH¢800 per kilogram and could also lead to a high yield of 15 tons or a moderate yield of 10 tons of yam at the end of the year. The Standard has fewer chemicals and would lead to tastier yam that sells for a higher price than that of Platinum. There is a probability of 0.7 that high yield would be recorded at the end of the year.Market price for yam is uncertain and depends on the type as well as the volume of yam on the market. Generally, a year of high yield results in higher volume whiles a year of moderate yield leads to moderate volume of yam…The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or go organic (i.e. without fertilizer). In case of using a fertilizer, 10kg of either the Platinum or Standard type fertilizer would be needed at the start of the planting year. The Platinum type is GH¢1000 per kilogram and could lead to a high yield of 30 tons or a moderate yield of 20 tons of yam at the end of the year. The Standard type is GH¢800 per kilogram and could also lead to a high yield of 15 tons or a moderate yield of 10 tons of yam at the end of the year. The Standard has fewer chemicals and would lead to tastier yam that sells for a higher price than that of Platinum. There is a probability of 0.7 that high yield would be recorded at the end of the year.Market price for yam is uncertain and depends on the type as well as the volume of yam on the market. Generally, a year of high yield results in higher volume whiles a year of moderate yield leads to moderate volume of yam…The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or go organic (i.e. without fertilizer). In case of using a fertilizer, 10kg of either the Platinum or Standard type fertilizer would be needed at the start of the planting year. The Platinum type is GH¢1000 per kilogram and could lead to a high yield of 30 tons or a moderate yield of 20 tons of yam at the end of the year. The Standard type is GH¢800 per kilogram and could also lead to a high yield of 15 tons or a moderate yield of 10 tons of yam at the end of the year. The Standard has fewer chemicals and would lead to tastier yam that sells for a higher price than that of Platinum. There is a probability of 0.7 that high yield would be recorded at the end of the year.Market price for yam is uncertain and depends on the type as well as the volume of yam on the market. Generally, a year of high yield results in higher volume whiles a year of moderate yield leads to moderate volume of yam…
- The CEO of Asempa farms limited is considering whether to plant this year’s yam with a fertilizer or go organic (i.e. without fertilizer). In case of using a fertilizer, 10kg of either the Platinum or Standard type fertilizer would be needed at the start of the planting year. The Platinum type is GH¢1000 per kilogram and could lead to a high yield of 30 tons or a moderate yield of 20 tons of yam at the end of the year. The Standard type is GH¢800 per kilogram and could also lead to a high yield of 15 tons or a moderate yield of 10 tons of yam at the end of the year. The Standard has fewer chemicals and would lead to tastier yam that sells for a higher price than that of Platinum. There is a probability of 0.7 that high yield would be recorded at the end of the year.Market price for yam is uncertain and depends on the type as well as the volume of yam on the market. Generally, a year of high yield results in higher volume whiles a year of moderate yield leads to moderate volume of yam…In August 2011, Bank of Hawaii (BOH) stock cost $45 per share, yielded 4% per year in dividends, and had a risk index of 3.0 per share, while JPMorgan Chase (JPM) stock cost $40 per share, yielded 2.5% per year in dividends, and had a risk index of 2.0 per share.† You have up to $25,000 to invest in these stocks, and would like to earn at least $760 in dividends over the course of a year. (Assume the dividends to be unchanged for the year.) How many shares (to the nearest tenth of a unit) of each stock should you purchase to meet your requirements and minimize the total risk index for your portfolio?If the preceding 50% rates were each reduced to 40% by a massive education program, then what effect would this change have on the overall mortality rate among true hypertensives; that is would the mortality rate decrease and, if so, what percentage of deaths among hypertensives could be prevented by the education program?
- A life insurance company has 1,500 policies averaging Rs. 2,000 on lives at the age 30. From the past experience, it is found that out of 1,00,000 alive at the age of 30; while 99,000 are alive at age 3 Find the lower and the upper value of the amount that the company will have to payout in insurance during the year.A manufacturing company has been experimenting with a new additive that is used to reduce polluting effluents from its production facility. Test results suggest that if no additive is used, pollution levels are 3000 parts per million (ppm). For each pound of additive used per week, pollution levels are reduced by 0.49 ppm. The additive costs $30 per pound. The reason for experimenting with the additive is that a government agency is conducting weekly air quality tests in the vicinity of the production facility. Regulations state that if pollution levels exceed 2000 ppm, a fine is imposed. The fine is $1000 for each ppm by which the pollution level exceeds the 2000 ppm limit. If the company has budgeted $80,000 per week to spend on the additive and any pollution fines, how much additive should be purchased each week for use by the company? What is the resulting amount that the company is willing to pay in terms of weekly fines?What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?
- Ten years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (b) What underlying assumption do you have to make in order for your estimate to be valid? What might cause your underlying assumption to be invalid?Ten years ago, the town of Easton decided to increase its annual spending on education so that its high school graduates would be able to earn higher wages. Now Easton has asked you to evaluate the effectiveness of the spending increase. Their data show that before the spending increase, the average annual salary of recent high school graduates was $25,000 and that now that average salary has risen to $28,500. Fortunately for your analysis, a neighboring community (Allentown) did not change its annual spending on education. Ten years ago, recent Allentown high school graduates earned an average of $22,500, and now that average is $23,750. (a) Use a difference-in-differences estimator to determine whether Easton’s spending increase caused the wages of their high school graduates to increase. please provide an accurate answer.An editorial in the New York Times on Sunday June 4, 2011 dicussed the redesigned fuel economy stickers to be required on new cars starting in 2013. Consider a new idsize fuord fusion s model. At $4-a-gallon gas, annual fuel costs would be about $2,200 for 15,000 miles driven... And thats for a car with a rated mileage of 34.9m.p.g. actual highway mileage, as with all vehicles, is lower, in this case about 27m.p.g. Industry clearly needs to do better. Did the times use the rated or the actual mileage in its computation?