422 – z + 2 1 2 F(2) = 4 – + 22 %3D - - 22

Q: -8s2-5s+9 Find L- (s+1)(s² – 3s+2)

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Q: 51. y = 3x + (V3 – 5): and y = -J3x + (-/3– s)

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Q: 16. 3x So ² (z+y²) dydz 2x pasky

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Q: - 2n3 diverges 5m3 – V2 n=1

A: The solution of the problem as follows

Q: 25n Evaluating sec will yield to 6 V3 A 2 2/3 B 3/3 © - 2 V3 D 2.

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Q: 11. 2x? – 5xy -y³ if x = -3 and y = -2 %3D

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Q: Determine L-1{F(s)} 2s+1 sF(s) + 3F(s) s2+2s+1

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Q: Э3: 4ln(2x+3)%3D In 2+1

A: Given equation: 4ln2x+3=ln2+1 We know that the value of ln2=0.693147…

Q: 3s +25 5) y=L-1 s² +6s+13

A: In the case of multiple questions we are ordered to solve first unless asked specific one. So I am…

Q: 2s-3 Find Ll4s+5 s2–4s+5 |

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Q: L- %3D S3 II 1/-

A: The following formula is used in solving the given function. L-1n!sn+1

Q: 3s +25 5) y=L-1 |s²+6s+13 ]

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8s – 3 F(s) s2 – 36

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Q: 2)y"-9у-0 -9Y3D0

A: y''-9y=0

Q: 10 2. F (s) s2 +4s+4

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Q: - (x-2)" 3. n=0 3n +1

A: We find radius of convergence by ratio test, then find interval of convergence.

Q: x(n) = 3 [2n + 4″]

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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: - dæ. (x² – 5)1/7 Compute

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Q: 9s + 7 F(s) = 2s2 + 2s + 4

A: Given: F(s)=9s+72s2+2s+4

Q: 52. f(æ) = (-1)**(x – 2)". %3D n=1

A: Radius of convergence problem....

Q: 3s +25 5) y=L-1 |s²+6s+13

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Q: S(x2 - 2)/xdx = 3 4 /x-글wx+C 4

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Q: Determine E მა მა + მო მა 2 - მ2 მ0 მგ if e8² = w sech 0.

A: The derivative of a function of a real variable measures the sensitivity to change of the function…

Q: 4. Find L-1 [ 2s-3 s2-3s+2.

A: To evaluate : L-12s-3s2-3s+2   2s-3s2-3s+2=2s-3s-1s-2                                    (1) Using…

Q: -2t 7. f(1)=3e" cosh (In 2r) in two ways.

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Q: 18. If x² + 2xy = y² then y' is b. 2x + 2y d. -x

A: (18). Given: x2+2xy=y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law:…

Q: What is the coefficient of x^12.y^13 in expansion (x+yY 25

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 13B 1 x z+7;0<x< 1 x 21 Fx (x) = 0; x< 0.

A: Part (i) The relation between Probability density function and cumulative distributive function is,…

Q: of the indicated d 2. 17 in Z 4. 2x-3 in Z[x] 6. 2x -3 in Q[x] -8 2 10 in ZIr]

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Q: 1 L-1 (s²(s + 1).

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Q: A 2 In Ix-11+C B 2 In 1x-11-2+C S dx 2x (x-1)² C¹In Ix-11+C с D 2 In 1x-11+2+C

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Q: 4-8y² (a) ſ dzdydx 0 0

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Q: dy Suppose Ix = (2x – 3) e*²-3r (2x – 3) e**-3x and y(1) = 4. What is y(2)? O -4 O 3 O 4 O 5

A:

Q: solve for t

A: Given: etln0.2=0.4 we know that nlnm=lnmn                                             ..1 so, by…

Q: F(s) = 5s+3 6s 8 9- - (5s2 +4s+1) s2+7 9

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Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: 2 35+65+2= x de dk ds S₁-042 V S21=-1-577 B √√²-4AC ZA

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Q: ( 2(x +1)cx = 3 If then a equals ?

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Q: (x+ 1)4 y3 In ex-3 (x+1)4 In x-3 xp

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Q: (a) (7x)" n! n=1 (b) 00 (-1)"(x – 8)" Vn n=1 (c) 5(-3)"(z – 1)" Vn + 2 n=1

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Q: 3. 2S-1 s2-6s+18

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Q: dy 3. 9-49y²

A: To find out the integration.

Q: 11. (16D³ + 12D²2 – 1)y = 0 ; y(0) = 1, y'(0) = 0, y"(0) = –1

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Q: X -2 -1 0 1 2 y=-4x3 + 2x+1 현 1" 2nd 30 X -2 -1 0 1 2 3 y = -3x4 + x-1 D 1st 2nd 30 4th

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Q: 4s+2 1. F(s) = s² +6s+34

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Q: 3 N(x) = - 0.25x" + 22x° - 432x + 79,000 4 2 %3D

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Q: -2 2 dy 7e" + 5. -5

A: Given :∫-5-27ey+2ydy

Q: 33) f(x) = |2x- 1| %3D 57 3 2 1- 5 4 2. 1 3. 1- 2 3- 55 5,

A: