Q: Prove the fillawing definition of Laplacetransferm;formula'sbya)= F(S)GS)b) £/t' F(E)J= (1)^ d F(G)%3D-stoc)(Dirac Delba ancdhan)

Given : a Lf*g =L∫0tfu gx-udu =FSGSbLtnft=-1ndndsnFSc Lδt-t0 =e-st0 To prove : prove…

Answered: Q: Prove the following transform;…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Y1 Entered Y4 1 1 t t^2 e^(-2*t) t*[e^(-2*t)] (t^2) *[e^(-2*t)] (t^3)*[e^(-2*t)] At least one of the answers above is NOT correct. [e^(1*t)]*cos(1*t) e(-21) [e^(1*t)]*sin(1*t) 37 = 3(-21) 3/2 t Y3 2 Y5 te Ys -21 Answer Preview Y6 1²e (-21) el cos(lt) (You can enter your answers in any order.) 1 Y9 t t² -21 -21 te t²e-2t A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. t³e-2t (²6r+18)r³(r − 3)¹ = 0 Write the nine fundamental solutions to the differential equation as functions of the variable t. elt cos(lt) e¹t sin(lt) Result correct e¹f sin (lt) correct correct incorrect incorrect incorrect incorrect incorrect incorrect
Construction and building inspectors ensure that construction meets local and national buillding codes and ordinances, zoning regulations, and contract specifications. They spend considerable time inspecting worksites, alone or as part of a team. Most work full time during regular business hours. Many states and local jurisdictions require some type of license or certification. The median annual wage was $56,040 in May 2014. SOURCE: Bureau of Labor and Statistics, U.S. Department of Labor, Occupational Outlook Handbook, 2016 - 2017 Edition E, Construction and Building Inspectors A wheelchalir ramp with a length of 614 Inches has a horizontal distance of 610 Inches. What is the ramp's vertical distance (height)? inches State your response to the nearest 0. 1 Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of at least 12 inches. Does the ramp above satisfy the requirement? O Yes O No
O (24) 2 points If f (x) = 3 x? +x , limn0 f'(1+h) –f'(1) is then h 6 DNE none 2 points
In In(jn) (-3415° cosh log(j') ]] Evaluate the function above. Key in your answer in rectangular form. If your answer is in scientific notation, example 1.234x10 5+j0.2345x105 please input as 1.234x10_-5+j0.2345x10_5. That is lower case x, an underscore for the power of 10 and a dash for the minus or negative sign.
3. C = cosh-1{sin¬1[tan log (3 – j8)]}
5.3 #1 Part 1 of 3
Question 2 Calculate h'(x) using the Product Rule if A(x) = ( - 3) (-² + 7). (2.a – 3)(x² + 7) then h' (x) = ex' (x² + 7) + (2xª – 3)(gx) = 2 14 6x
20-

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Q: Prove the following transform; formula's by t a) L [ F+g] = { [ [ 56(0)3(²-1) 47] = F (S) G(S) b) L [t^ f(t)] = (1)^ d^ _F(s) » L98 (t-to)] = ēsto (Dirac Delta function)