1 "F(s) = a. s² – 2s+17 s-1 O b. F(s) s(s? – 2s+5) 1 OC. F(s) s² – 2s+5 s-1 O d. F(s) s(s? – 2s+ 17) II

Q: True or False. Show your proof. X[n,0) → 0 in L'(R)

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Q: La función f(x) =* expresada como serie de potencias es 4-х xn+1 А. 22n+1 n=0 4xn+1 В. 22n+1 n=0 C.…

A: Given function is fx=2x4−x. We have to find the power series representation of the given function…

Q: 2s + 1 7. F(s) = %3D s2 - 2s + 2 1- 2s 9. F(s) %3D s2 + 4s +5

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Q: 1. F(s) = 16/[s(s²+4)] 2. F(s) = (8s + 11)/[(s-4)(s²+9)]

A: We have to solve by inverse Laplace transform.

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A: Given ∫3z(1-4z-2z2)2dz ∫f'xfxdx=lnfx+c

Q: sn'x プェ Sec'x-1 from [o, of 2.

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Q: (n² – 3n – 21) ÷ (n –7) -

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Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: 5) f(t)= 2te' 2 Ans. F(s) =- (s –1)

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Q: 7 (a) F(s) %3D (s+3)³ 2s – 3 ( (b) F(s) = s2 + 2s + 10

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Q: 2 (ii) using Convolution theorem. (s+2)(s²+9)

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Q: 10. f(1) = –0.5 and f(n) = f(n – 1) – 0.5 for n>2 %3D - -

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Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: 3+2s 17. F(s) %3D (s+4)(s²–3)

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Q: die ktvaate et:rlrs erziv. 2l y=a* + &r-- 5+e" Kl) =

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Q: Determine L '{F}. s?F(s) s+5 + 3sF(s) – 10F(s) = %3D 2 s+ 6s

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Q: 12. ∇⋅F of F = (2xy2)i-(3y3z2)j at (2,1,-2). a. 4 b. 27 c. -7 d. -34

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Q: X(s)=(s^2+6s+7)/(s^2+3s+2) and Re{s}>-1 what is x(t)?

A: We are given : X(s)=s2+6s+7s2+3s+2 ⇒X(s)=s2+3s+2+3s+5s2+3s+2 ⇒X(s)=1+3s+5s2+3s+2 ---(1) Now,…

Q: determine L−1[F].

A: Given that, Taking inverse Laplace transform from both sides, By using L-1{aF(s)] = aL-1{F(s)}; a…

Q: st4 (i) F(s)= (s+2)(s+1) st6 (ii) F(s) = (s+1)(s+3) s+6 iii) F(s) =' s(s+3)

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Q: de (x+2) h+2+ +C (r+2) x + 2- Option 1 Option 2 In Ix + 21 + 4r+5 + C in x + 2 (e+2) O Option 3…

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Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: s2 + 11s + 20 1-J = (1)h (q) (s² + 4s + 8)(s + 1)² J* %3D

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Q: (1)F (s)= s +9 2s2 +s -1 %3D

A: Given: L-1s+92s2+s-1

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

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Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: 2Fs1 ² f (x, y) dx² proof. (H-w-) 2 ./ = P√= f (gy) - P²Fs (Psy) ар(х,у) 0 as x If f (x,y) → 2

A: Introduction: A Fourier transform (FT) is a mathematical transformation that decomposes capabilities…

Q: -1 Ans. f. = Tx+ y}, (r+y} -1 5) f(x, y) =- x+y

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 2 O Finel F.S For Fex) = 2くxくだ 7. %3D 2. -2 37 2 2.

A: By Bartleby policy I have to solve first question, as these are all unrelated problems. These are…

Q: Ax) %3D х* — Лх2 - 12x where A> = > — Лх? — ЛЕx where ^> v that fis one-to-one on S = [- rmine f(S).…

A: Given, fx=x3-λx2-λ2x,  λ>0

Q: s +1 (2) F(s) = s (s -1) %3D S S

A: Solving the system of equations, we have A=-2, B=-2, C=-1, D=2. So,

Q: Find the function y(x) satisfying -8/9 = 6x dx and y(-1) = - 4. dy :-8/9 The function y(x)…

A: Integrate the equation dydx=6x-8/9 with respect to x.…

Q: 2 (4)F(s)= %3D s² (s +4)

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: 7- f (x)= 3.x², 0<xr<1 olarak verilsin. P(/2/ (2, = ? O a. 1/8 O b. 1/4 Oc 3/4 O d. 7/9 O e. 1/9

A: Solution: 7. From the given information, the probability density function of X is

Q: 2s - 1 s2 - s -- 2' F(s) = s2 – 4 - 4 F(s) : (s2 + 4)2 1 F(s) = s2 + 3s + 2

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Q: 4. Halla una serie de potencias en la forma y(x) = E=0 anx" que es una solución de la ecuación…

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Q: Describe the long run behavior of f(n) = 3n – 4n³ – 5n° + 5 As n → - 0, f(n) → ? As n → o, f(n) → ?

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Q: 2(1 – e-5s), e-6s Y(s) = %3D s(s +1)? * (s + 1)² (8+1)²

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Q: if r 2 VE-V3 z-3 if r+3, x > 0 2. f(x) = %3D if I = 3 e-c if x# 1 3. f(x) = %3D 3 if x = 1

A: 1) limx→2-f(x)=limx→2-x2-4x-2=limx→2-(x+2)(x-2)x-2=limx→2-(x+2)1=2+2=4…

Q: A ball is thrown vertically and it's height above the ground is given by s(t)=1.2 +28.1t - 4.9t.…

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Q: 2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1)…

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Q: What is the net crarop for fW={+5,05 as we qo from x=2 to X=5?

A: The given function  f(x) = x2 + 5

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: f(M1) = 0.6 and f(M2) = 0.4. We found %3D out that 25% of the M1M1 individuals survive, 50% of the…

A: *answer:

Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: 2s – 3 F(s) s2 + 2s + 10

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Q: 2s+2 ds = In|s| – In\s + 2| + C %3D s3 +3s2+2s

A: Here, we are solving only 1st question and for the remaining question post the question again.…

Q: 4 | V1+y dy 3 ((1+9) GAC). ZV 2). 3 for KQuestion 6.6.13 -1/2 -x S= 27 V1- a21+ dx -1/2 r1/2 dx =…

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Q: determine L−1[F].

A: Given Fs=2s+3ss2-2s+5.

Q: 2s2 + s+3 F(s) = %3D (s- 1) (s+ 2)2

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.