3. The Laplace transform of the f(t) = t²e-2t cos(3t) is 2(s+2) (s²+45-23) (5²+45+13)³ 2(s+2)(s²+23) (s²+45+13)³ (a) (c) (b) (d) 2(S-2) (s²+45-23) (s²+45+13)² 2(s+2)(s² +45-23) s²+45+13

Q: f(t) = te3t cosh 4t s²-6s+7 s2-6s-7 А. (s2-6s+25)2 С. C. (s2-6s-25)2 s2-6s+25 В. (s2-6s-7)2 s2…

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Q: 2w Inverse fourier transform of is w²+9 Select one:

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Q: Determine the Fourier transform of the given function: t, 0 < t < 1 0<t<2 f(t) = 2t - 1, 0,…

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Q: 1] Evaluate (a) -S (s²+1) ² {t sin (b) S 1/2 5² (s² +¹)² (d) S

A: Find Laplace of tsin(t/2)

Q: Find the Laplace Transform of h(t) = 1²e-3t (s – 3)3 4 (s+ 3) (s+3)2 2. 2.

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Q: 2B. Find the analytic function f(z) = u+iv for which v= e(xcos y+ ysin y)

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Q: Determine the Laplace transform of f(t) = e-3t sinh (2t) 2 s2 + 6s +5 s2 – 6s+5 s² + 6s+5 s2 – 6s +…

A: Use the following formulas to perform the Laplace transformation.  Leatft=Fs-aLsinhat=as2-a2

Q: Use the transforms of some basic functions (i.e., theorem 4.1.1 in the textbook) to find L{f(t)}.…

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Q: Find the Laplace transform of f(t) = 4 + 3t – 5t² — 2(t-1) a. (6s²-s-10)/s³ b. (6s² + s-10)/s³ c.…

A: Here we have to find the Laplace transform.

Q: t is the Laplace transform of f(t) = e"cos3t, 1 3 s-5 s2 + 9 (s - 5)2 + 9

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Q: The Laplace transform for the function is -1 f(t) = e3t cos 5t S (s – 3)² + 25 a) O

A: Given; f(t)=e3tcos(5t).

Q: 3. The Laplace transform of the f(t) = t²e-2t cos(3t) is (a) 2(+2)(8² +45-23) (8²+45+13)³…

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Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: 2) find the fourier transform x(t) = u(t) x(t) ulzt) x²(t) = u(+ + 5) -

A: xt=utxt=u2txt=ut+5xt=ute-jw0t

Q: What is the laplace transform of the periodic function shown in the picture.

A: Solution

Q: Find the Laplace transform of 6e5tcos2t - e7 6(s – 5) 1 (A (s – 5)2+4 s- 7 B s2+4 s- 7 (s – 5) 1 (s…

A: For the solution of the problem follow the next step.

Q: The Fourier transform of x(t) = 9+4t2 IS 37|f "e 3m1F] 2 77 O X(f) = 7T OX(f) = 27|f 2 37 OX(F) = -…

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Q: f(t) = t? cos 6t 2s(108-s?) А. (s2 -36)3 2s(s? -108) C. (s2-36)3 2s(108-s2) В. (s2+36)3 2s(s?-108)…

A: Given function f(t)=t2cos6t. We have to find the Laplace Transform. Formula will use 1.…

Q: What is the Laplace Transform of the function f(t) = 2u(t-4)+ 3tu(t- 6)? %3D Select one: None of…

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Q: Apply the Convolution Theorem to determine the Laplace transform of : f (t)=[re-2" sin 3(t - t) dt 3…

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Q: The Laplace transform of the function f(t) = (t + 1)² – t² is: 2 (d) ++ (e) None of these (s+1)2 ()…

A: The Laplace transform of a function is given by , where is a Laplace transform, it is also…

Q: Q)find the inverse Laplace transform p + 1 1) L-' (p² – 1)² 1 2) L-1 \p(p² – 1)3) 1 L-1 (p² + 1)²/

A:

Q: Find the Laplace transform of f (t) = te2t sin 6t 12s+24 |(s)²+36 12s-24 2 (s-2)° +36| 12s…

A: Correct ans is =option B

Q: .Find the inverse Laplace transform of 3 F(s) s(s? – 2s + s) O-3 – 3t + 3e 03 – 3t + 3e-t 03 + 3t +…

A: F(s)=3s(s2-2s+s)F(s)=3s(s2-s)F(s)=3s2(s-1)Partial…

Q: Find the Fourier transform of the following functions: (₁) f(t)= (11) "-(1+t), -12 t ≤0 t-1 04+ ²1 อ…

A: We have to find the Fourier transform of the given functions: (i) ft=-1+t-1&lt;t≤0t-10&lt;t≤10t&gt;1…

Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: f(t) = te3t cosh 4t s2-6s-7 А. (s2-6s+25)2 s2-6s+7 С. (s2-6s-25)2 s2-6s+25 3. (s2-6s-7)2 s2-6s-25 D.…

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Q: The Laplace transform of t (sin 2t -cos 2t) is b. -S²+45+4 a. (S²+4)² S²+45-4 (S²+4)² S d. • (-²2)…

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Q: d³c(t) dt3 d?c(t) , dc(t) + dt d?r(t) dr(t) + 4- dt + 3r(t) +3- + 5c(t) = dt2 dt2 dc(0)_ d²c(0) c(0)…

A: Applying the laplace transform of the equation.

Q: Find the Laplace transform of f(t) = e-2t + 2 sin2t

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Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Give the Laplace transform of the solution to a) (s)-- (+2) (-4). 25 (3+2)(²+25) b) (³) (-2) (5-4) 4…

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Q: 4. Determine the Laplace transform of (1 +et)2 7s2-7s-10 a. s(s+1)(s+2) 14s2+2s+13 b. s(s+1)(s+2)…

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