Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8 s² + 4 B) 12t +8sinh(4t) D) t* + 2 sinh(4t)

Q: What is the Fourier transform of the function 4 cos(5t) on the interval [-x, a]| Select one: O a. 4…

A: Here we have to find the Fourier transformation of the function x(t) = 4 cos (5t) Using the formula:…

Q: an = bn || ["*(8a² + 7a) cos(nra/2) da (8x² + 7x) sin(nπx/2) + 2 NT 128 n²π7² 12112 +4 ["* (8x² +…

A: In this question, student asked to explain steps in existing answers. We, briefly discuss these…

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: In the case where a = -T and b = T, compute (sin px, sin qx), (sin px, cos qx), and (cos px, cos…

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Q: then prove that i) F, [ƒ (x) cos ax] = [f, (p + a) +f, (p a)] 1 ii) F.[f(x) sin ax] 2 [f. (p + a) –…

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Q: From a Laplace Transform form, we have the following expressions: s - w I) L{ewt cos(ßt)} (s – w)2 +…

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Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: t' Find L 10e-5t sin - 2.

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: L[2t2 + 5 – 3 cos nt), t > 0

A: We use the Linearity property and table of Laplace transform to find the answer of the given…

Q: 3.* 6 y = (s – 2)4

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Q: equations: b. cos(3n) + 2 sin(3n)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: 7. Obtain the Fourier sine transform of the following functions: sin wx (c) x² +1' w > 0

A: The given problem is to find the Fourier sine transform of the given function, we have a general…

Q: 2s + 16 s² + 4s + 13

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Q: Find f(x) = f a-1x1 0 the Fourier a-1x1, Hence prove transform Ixl <a , Ixla that 1 (sin t t 0 2 of…

A: Given f(x)=a-x,x&lt;a i.e., -a&lt;x&lt;a                   =0,         x&gt;a i.e., x&gt;a, x&lt;-a…

Q: c) Use a pair (table) to findz-transform of x(n) = 20.65 √2 cos((-)n-1.415)u(n)

A: Introduction: There are many properties that are followed by Z-transformation. It helps us to…

Q: sinh ot + cos ot

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Q: s? 1 +65

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Q: 3. Can we apply Hhe Fourier sine or osine transforms te utx,7 ニー Explain your answer

A: Given, ut=xxx-uxux,0=fx Taking the Fourier transform both side with respect to x.…

Q: for 0sxs 10 for r> 10 sin(x) for 0srs2x for x> 2x

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Q: 2. (a) Show that gi(t)g2(t) G₁(f) * G₂(f) where denotes convolution and gi(t) = G₁(f), 92(t)=G₂(f).…

A: We start with the time-domain signals and their Fourier transforms:Now, the convolution in the time…

Q: nsform of 20 sinc (10(t - 10)

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Q: Q3// Find the value of sin лz²+ сos лZ² $c dz (z-1)(z-2) Where C is a rectangular with vertices at…

A: As per the question first we have to evaluate a conture integral, then we have to find the laplace…

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Find Laplace f(t) = t sin 2t + S transform of the function TU 2 cos 2t T 2

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Q: cos2t dt Evaluate the Integral (1+ sin2t) 4 A (1+ sin2t) 3+ C (1+sin2t) -3+ C 6. (1-sin2r) 3+ C 6. D…

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Q: Integrate 0 1 S √1 1-4x2 dx using a trigonometric substitution. sin-¹ (2x)√1-42²+ C 0 1 -sin-¹ (2x)…

A: The given integral is sqrt(1-4x2).

Q: x(t)=sin(t-3T)

A: Z transform

Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: 6s 3 Find the Inverse Laplace Transform of + s2+25 s2+ 25 6 -cos3t --sin5t 5 3 A 5 3cos5t+ -sin3t 6…

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