Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function OB. f(t)=t for 03 OA O C. O D. df dt F(s) = OA sF(s)-f(0) 1 F(s) = 38 + 2 F(s) = F(S)=2 F(s) = S 1 5 + + S-1 1- -3s 3s 5 S-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (3t) B. -te-2t+4e31 - 3 cost +2e⁹t sin (2t) O C. 4 f(t)= - e 2t +2t²e¹-3 cost + 3 Laplace{g(t + a)X(s) e²¹ sin (3t) OD. f(t)=-e²t +21²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct

Note that we also have Laplace(g(t)U(t-a)}=eas (a) Find the Laplace transform of the piecewise defined function OB. f(t)=t for 03 OA O C. O D. df dt F(s) = OA sF(s)-f(0) 1 F(s) = 38 + 2 F(s) = F(S)=2 F(s) = S 1 5 + + S-1 1- -3s 3s 5 S-1 - 3e -3s (s-3)² S-4 OE. None of the given answers is correct 5e-3s (b) Find the inverse Laplace transform of the function -1 4 3s 4 s+2 (S-1)³ s²+1 (S-2)² +9 5e-3(s-1) + s-1 4 f(t)=-e2t+4e³1 - 3 cost + sin (3t) B. -te-2t+4e31 - 3 cost +2e⁹t sin (2t) O C. 4 f(t)= - e 2t +2t²e¹-3 cost + 3 Laplace{g(t + a)X(s) e²¹ sin (3t) OD. f(t)=-e²t +21²e-3 cost +2e-2¹ sin (3t) OE. None of the given answers is correct

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 78E

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