Find the transform, indicating the method used and showing the details. 14. 161 u(t –

Q: L-1{6(s+1)} 54 a. 3t² +t3 b. 3t³+ t² c. 6t² + ³ C. d. 6t³ + t² لاح

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Q: L1 {; l?s²+n²n2};L and n are constants

A:

Q: The Laplace transform of sin( 3t) is Select the correct answer +9 18 54 +9 30s 54

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Q: 3.) f(t) = ½ (4-3) ² u(1-3)

A: Laplace transform of the function

Q: 33 1 2s5 6s3

A:

Q: Using definition of Laplace transform, transform the following expres- sion { 0 2.

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Q: (v) The Fourier transform of ei2t e-3|t| is 9+(w-2)²

A:

Q: 2:50 PM Tue May 17 ( Notes Find the transform, indicating the method used and showing the details…

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Q: 4 L-1{ 2s + 10 V23 s2 – 23

A: We have to find the Laplace transformation…

Q: A. Find the Laplace Transform of the following: 6. (t – 1)*

A: AS PER GUIDELINES I HAVE TO DO ONLY 1ST QUESTION. PLEASE UPLOAD REST QUESTIONS AGAIN .

Q: Use Partial Fractions to obtain the "Inverse Laplace Transform" the following given expressions.…

A: Let F(s) be the function then inverse Laplace transform   is defined as  L-1(F(s))=f(t) Also,…

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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Q: - s + 21 Find the inverse Laplace transform of F(s) s2 – 7s + 6 f(t) = Submit Question

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Q: 3. Using definition of Laplace transform, transform the following expres- sion { 0st<1 (3 - t),…

A: After applying Laplace transform, the integral value is diverge. So I think there is correction in…

Q: Q4) Find Z transform for the functions 3) x(t) = te-at

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Q: 6. Find the inverse Laplace transform of the following: 7 a) s-4 2s+5 b) 52_25

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Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: Using Laplace transform solve the following shifted data IVP y' – 6y = 3(t + 5) y(-5) = -6

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Q: Evaluate the Laplace transform. L{e^(−82t)∗e^(76t)cos(15t)} ∗ --> convulution of two functions

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Q: H.W: Obtain Z-transform for the Followings 1) x(t) = Coswt

A: We have to use exponential notation.

Q: Find the Fourier Cosine transform of e-t² Hint: Use the integral formula √π So e-u² du = 2

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Q: 4s – 12 52 - 6s + 13

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Q: when using the Laplace Transform Table, you need to always identify c, f(t), and F(s), etc. 2 Find…

A: find the inverse laplace transform

Q: nsbnoa 2 t (s) %3D

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Q: 1 The inverse Laplace transform: a{, is: Is²– 36) - (A) 6sin(61 ) (B) -cosh(6t) 1 -sinh(6t) (D) None

A: It is given    Gs=1s2-36=1s2-62         =1·66s2-62=16·6s2-62   The inverse transform is then…

Q: 49 2s2 +16 121

A: This is a problem related to inverse laplace transform. Based on the general formula we will answer…

Q: 2. Y(s) = /(2s – 3)5 %3D

A: Inverse Laplace transform

Q: 21 4. (s+ v2)*

A: We want to calculate Laplace inverse L-121s + 24

Q: L5s? +o 2 -50 キ (6) %3D (4の)(84))(++)

A:

Q: Q4// find the Fourier transform of the function t< -a f(t) = - a <t <a a <t

A: Here we find Fourier transform of given function

Q: 2. f (t) = 25

A: 1. Given f(t) = 8 By definition of Laplace transformation L{f(t)} = ∫0∞e-stf(t)dt          =…

Q: 3. Find thei z transform of thể fallowing Signals. di x(k)=() ü (k-1) e.

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Q: π L1 2. z(4 +s),

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Q: Using Laplace Transform solve the following IVPS: a. y"-y = -208(t – 3); y(0) = 1, y'(0) = 0

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Q: Find the Fourier Transform of the following signal. Remark: The interval exists from -0o to o, the…

A: From the graph it is clear that all the values are positive  and tends to zero as x tending to -…

Q: Using definition of Laplace transform, transform the following expres- sion 0 2.

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Q: Using the tables and 'linearity', find the inverse Laplace transform of the following: 6 1. s+2…

A:

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: Determine the Laplace transform of the periodic function of the graph shown below. Enter final…

A: Given, Graph of the periodic functionf(t)=3 if 0≤t&lt;11 if 1≤t&lt;23  if 2≤t&lt;31  if 3≤t&lt;43…

Q: Q3: a) Find the Z-transform for f(k) = k ek a

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Q: 2s-1 's²-6s+18*

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Q: Q4// find the Fourier transform of the function tく-a f(t) = - a<t <a a <t

A: Concept:

Q: Find the Fourier Cosine Transform of the function 031.png f(x)= (ae¯mx + be¯x} if x>0 x > 0 if a =…

A: Given: Let us consider the given function, fx=ae-mx+be-nx3 if x&gt;0 and whether a=5, b=7, m=3, and…

Q: 2a Q3: Given F{e-altl} find the Fourier transform of the following using %3D w2+a? properties: 1.…

A: Solution

Q: b) Write the step function of the graph shown below. Then find the Laplace transform. Ax)

A:

Q: 2 e?* + be3* f(x)= if x>0 6x

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Q: TT s + 10#s + 242 .2 S

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Q: Use the Laplace Transform Table to find the inverse transform: 83 +3 (s-3) (s?+2s+5) F6S) =

A: Some of the properties of Laplace transformation…

Q: e-5t using the definition of the transform. (Just listing the transform from the table will not get…

A: ANSWER:

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.