Q 4. Find the Laplace transform of f(t) defined as: (3t. 05

Q: 00 1. Find the laplace transform of, f(t) =sin(t +a)cos(t -a) using e-stf(t)dt.

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Q: s2 – 4s +10 F(s) = (s – 2)*

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Q: 8s +7 F(s)= s² +8s + 32

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Q: Q3\Find the Laplace transform of: a) t et * sin(4 t) b) (1+cos 2 t) c) pe-21

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Q: 10 Find the inverse Laplace transform of F(s) = 2s – 10 g2 + 25

A: To find the inverse laplace transform .

Q: Q.4/ Find the inverse Laplace transform of given F(s) s2 +1 F(s) s(s + 1)2

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: * Q5- Find the Laplace transform for f(t) = ( e5t + sin t )²

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Q: Q.4. Find the inverse Laplace transform of: s2-4 F(s) = %3D s3+6s2 +9s

A: To find the inverse Laplace transform of Fs=s2-4s3+6s2+9s

Q: 1. Find the Laplace transform: -{%"* te', 01. f(t)

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Q: 3 find The Laplace transform f(t) = sint

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Q: 10s –1 F( s)= s² +7

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Q: Q4:A. Find the Laplace transform of (1) f(t) = cos?t (2) f(t) = te-3t cos2t

A: If f(t) is a function of t for all positive values of t, then the Laplace transform of f(t) is given…

Q: 5. Find the Laplace transform of f(t) = sin't t

A: The laplace transform of f(t)=sin2t

Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: HW Q. 2 - Derive the Laplace transform of f (t) = sinh(at)

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Q: 2s – 1 F ( s ) = s² + 6s +34

A: The given Laplace Transform,F(s)=2s-1s2+6s+34

Q: Q2) find the Laplace transform of the following functions a) f(t) = t sin²t

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Q: Q5/Find the Laplace Transform -3 4- f(t) = V2t E) = va Where r %3D

A: To find the Laplace transform of given function.

Q: Q1) A: Find the Laplace transform : L{e-3t. sin3t} 1. 2. L{sin²t}

A: As we know that: L1=1sLeat=1s-aLcos(at)=ss2+a2Lsinat=as2+a2 We also know that the rule: If…

Q: 8. Express the given function using unit step functions and compute its Laplace transform y sin t N…

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Q: (c) Use Laplace transform to solve y(t): y(1)-[,cly(x)dx =t.

A: As per instructions we are allowed to answer only one question. Laplace Transform: Let f(t) be a…

Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: s2 +10s – 11 (s +5)* F (s)=

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Q: Q3 Find Laplace transform of the function f (t)=t cos(@t)

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Q: 1. Write the following function using unit step functions and then find its Laplace transform: 2t 0…

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Q: 15 F(s) = 5s –1

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Q: Y(s) S + 8 Use the Laplace Transform table to convert this function into f(t).

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Q: Q1: find the Laplace transform of the following? dy dt ди( у,1) 2 ди(у,1) ây 3

A: The Laplace transform of ft isLft=∫0∞fte-stdt∴Ldydt=∫0∞dydte-stdt             =e-st.y0∞-∫0∞e-st-sy…

Q: nd the Laplace Transform of f(t) = t³ if 1<t< 2 , and f(t) = 0 otherwise.

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Q: Q1/ Determine the Laplace transform of the following periodic function. f(1) 2 6 8

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Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: Q3\Find the Laplace transform of f(t) defined as 03

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Q: Q.5 Find the Laplace transform of the function: F(t) = sin 3t + e4t – 5

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Q: Q4.A. Find Laplace Transform for the signal f(t)= t sin 2t

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Q: Q3. a) Evaluate the integral: S S (x² + y²) dx dy b) Find Laplace transform of the function: f(t)=e"…

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Q: c) Solve the following initial value problem with the Laplace transform. y"(t)+y(t) = g(t) y(0) = 1,…

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Q: Q1: Find inverse Laplace transform of the function. 3s F(s) s2 + 2s – 8

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Q: Find the function f (t ) given its Laplace transform: 4 F( s ) = - 5s - 20

A: we know that if F(s)=L{f(t)}=1s-a then f(t)=L-1{F(s)}=eat and  L−1{aF(s)}=aL−1{F(s)}

Q: Q.2 a) Find the Laplace transform of the function f(t) = u(t – a)sin(t – a), Where u(t – a) is unit…

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Q: Q3: A: Find inverse Laplace transform: 2s F(s) = %3D (s2 + 2)

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Q: Q2: Find the Laplace transform for the following periodic functions 0<t< T f (t) = A <t < 2n

A: Laplace transform of the periodic function

Q: Q5. Find the Laplace transform of following functions (a) t sin 4t (b) 1- cos at t

A: Part a We need to find Lt sin4t Now the Laplace transform of t sinat is Lt sinat=2ass2+a22 So,  Lt…

Q: V1) Use the definition of the Laplace transform to find L{f(t)} given 3, 0<t<3 f(t) = t, %3D t2 3

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Q: Q3 Find the Laplace transform of ft) defined as 03

A: Please see the explanation below

Q: Q5) a) Find Laplace transform of the function f(t) = cos(2t + 3) + e¯tu(t – 4) + tcosh²2t %3D

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Q: 2s – 9 F(s)= s² – -12s + 40

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Q: Q2) find the Laplace transform of the following functions a) f(t) = t sin²t 01

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Q: Q3: Find f(t) (Inverse Laplace Transform )of the following functions nn 1. F(s) = 2.F(s) = s+1 s4+5²…

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Q: Q1 Calculate the Laplace Transform of the following functions. (a) (b) (c) 2t* - e-4t (1 - e-)2 e-…

A: We have to solve

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.