Find L{(t- 2) (3 cos 5t + 1)}. COS 3(s2-25) (s²+25)? 30 | s2 s2 +25 6. 3 g3 s2 s2 +25 s(s² +25) 6s 3(s²-25) s2 s2 +25 (s2+25)² 2/5

Q: - ) s2 – 4 2s+6 What is L -2 cos 2t-3 sin 2t A.

A: find the inverse laplace transform of L-1-2s+6s2-4 we can write the function as…

Q: Evaluate L{3et sin 2t} 6. a) s2 + 4s + 8 6. b) 52- 4s + 8 c) s2 + 4s – 8 s-4s - 8 a 6o

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Q: Evaluate L{te- cos 4t} g + 2s + 15 b) (s2 + 2s + 17)2 5' + 28 - 15 b) (s + 2s + 17) s - 2s - 15 c)…

A: Note : According to the company guidelines we can solve only first question please post other…

Q: 4)Listen dy Find as if x2 cos4 r. 1) 2xcostx + 4x cosxsinx 2) 2xcosx- 4x2cos?xsinx () 3)…

A: To find the dy/dx of the given function

Q: 6x-7 4. S 를 In(4x2 + 1)-2 n(2x + 1)-승Tan-1(2x)| + C (2x+1)(4x2+1)

A: 4 Given integral is ∫6x−72x+14x2+1dx. First of all we will take a partial fraction of 6x−72x+14x2+1,…

Q: A 61. f(x) = -2 cos (3x); 0 sxs 1/3

A:

Q: 4. f (x) %3D (5х — 3)2 5. у %3D cos (5х) 6. f(z) — е5z?+72-13 7. у %3 4x2 + сot (3x) 8. f(x) —D (6х?…

A: Given problems:- 5.    y=cos(5x)  6.    f(z) = e5z^2+7z-13 7.   y=4x2+cot(3x)  To find:- Derivative…

Q: Please solve using 2nd Order and 4th Order Runga-Kutta y'=ysin^3(t)       y(0)=1 t= 0 to 3   h=0.1

A: Since, we have maximum pages uploaded is 10. So We give you only solution of second order RK method.…

Q: Evaluate: L{cos(3+2t)} s cos3 2sin3 A s2 +4 В (s+3)2 – 4 C (s+3)2 + 4 s cos3 + 2sin3 D s2 + 4

A: Explanation of the answer is as follows

Q: Solve 2 cos (t) - con(t) – 3 = 0 for all solutions. where ke Z

A: solution of the eqauation

Q: f(1) = 3e " cosh (In 2r) -21

A:

Q: 8 410x-32+x2 cos2x 4 Find *: (a) y =

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Q: Solve for x: 3sin x + /2 cos x: V39 0 < x < 27.

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Q: Find L {(2- t) (5 cos 3t 1)}. - 5(s²+9) (s² –9)² 10s - 82-9 5(s2-9) 10s - - s2 s2+9 (s²+9)² 10 82…

A: As we know from the Laplace transformation; 1). La·ft+b·gt=a·Lft+b·Lgt 2). Ltnft=-1ndndsnLft And…

Q: 8- Evaluate a) ſe² + 4 sin(8z) dz 1+9cos(8z) бх- х2 b) J 73-9x²+8 esc²) dx Csc2 - х3-9х2+8

A: We have to use proper substitutions.

Q: Find L{(2-t) (5 cos 3t – 1)}. 10 s3 s2 s2-9 s(s² –9) 10s 5(s+9) 1 s2 s29 (s²–9)? 10s 5(–9) $29 (2+9)…

A:

Q: f(t) = e^3t - cos(6t) - (e^3t)(cos(6t) * O F(s) = 1/(s-3) + s/(s*2 + 6*2) - (s-3)/(s*2 - 6x + 45) O…

A:

Q: sin(8t) -2t O a. r(t) = e cos(8t) +e2t O b. x(t) = e 4t cos(8t) – e t sin(8t) COS O c.(t) = e2t…

A: Given,         dxdt=12x-8y        dydt=16x-4y

Q: Find L {(2- t) (5 cos 3t - 1)} - 1)} 5(s² +9) 10s s2-9 (s2 –9)² 5(s²-9) 1 2 s2 10s s2+9 (s²+9)² 2. 1…

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Q: Evaluate: L || e" 3t cos 2τdτ 4 s-3 s [(s – 3)² + 4] s[(s – 3) + 4] | s-3 1 (s – 3)² + 4 (s – 3)' +…

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Q: f(t) = e3t + cos(6t) – e3t cos(6t) As4 + Bs3 + Cs² + Ds + E F(s) Fs5 + Gs4 + Hs3 + Is² + Js + K

A:

Q: 13 A Iz =, arg (z) =tan-(8)- 13 B arg (z) =n-tan-(8)

A: the given complex number is 3-2j2j+1 rationalize…

Q: Q25: A = e-2x – 3x5,B = 2Vx, C = sin³ 3x + 1 find A"" + B" - C'. (а) —8е-2х --sin 3x sin 6x – 180x?…

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Q: Q2 Q2/If y = (x³ + 5x² + 1)3 + Jsin+/cos³Vtan3x2 find y'

A:

Q: 5(t - )cos3t) 3 252 + 18

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Q: 3. cos 20 de –2p cos 8+p2 , p| < 1 [). 2np2

A:

Q: 2. L{sin² = nt} 7² a. S³+π²s π² b. 772 2s3-2π²s π² C. 772 2s3+2π²s π² d. S³-π²S

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Q: Find L{10) } s(s²+16) 1+cos(4t) 16 1-cos(4t) 4. 1-cos(4t) 16 1+sin(4t) 4 1-sin(4t) 16

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Q: -2s+9s2-8s+18 Find L-1 s(s²+4)(s+1) O (2- 5e +3 sin 2t) O (3 - 5e-t + 3 sin 2t) O (1-3e-t +3 sin 2t)…

A:

Q: when y=cos0 is horizontally factored by a factor of 1/4. y=co s1/4 θ y=cos θ + 1/4 y=1/4 cos θ…

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Q: (-n/6, 3) (지2, 3) (z16. -3) (37/6. –-3) From the graph, write the equation in the form f (x) = A…

A:

Q: C 3y° cos xydydx = O 3(1-Cos3) 5(1-cos3) cos3-1 O 5(1-Cos3)

A:

Q: Evaluate 7(t) dt: 4 4t -k; a = 0 and b = 4 t2 +1 †(t) -î + 2e4t cos t ĵ- t2 + 5t +6

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Q: L= {4 sin (3t) + 2 cos (9t)} L = {sin (2t) cos (2t)} 4s 6 2 + s2+1 s2 –9 s2+4 4s 6 + 82+1 2 s2+9…

A:

Q: 2s + 5 cosh t L- s2 + 6s + 34 et 5s L-1 (s – 2)² 3t -

A: Laplace transform of the function

Q: 2 solve: csc x restricting attention to 0 < x < 2n 3

A: csc x ≥ 23.

Q: Find L {(2 – t) (5 cos 3t – 1)}. 1 g3 10 + s2 +9 - - s2 s(s²+9) O 1 s3 10 + s2 -9 2 - - 8(s2 –9)…

A:

Q: 3 Г 3 +x = 2. - -xT secIX 4 .a O T COsecTX bO 4 +> T COseCTX .c O - +x2 4 T secTX .d O -

A:

Q: Ques tion 1 : that Given 2 x?y" + x y' + 3y= 0 show 2x* ylara) lanni)x ylurs) + (2n2.n +3) ym)-

A:

Q: What is r = -12 2 cos 0-7 sin e 2y - 7x = -12 in Cartesian form? x² + y² = -12 2x-7y

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Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: 51²e-31 – e121 cos 8t 10 (s+3) 3-12 (১-12)-64 10 s-12 ((-122+64 (s+32 10 (s+32 s-12 (-127-64 10 s-12…

A: lets see the formulas we are going to use here L{ tneat } =n!(s-a)n+1               ⋯⋯⋯(i)L{ e-at }…

Q: L = {cos² (3t)} L = {e-#£} 1 s2+72 (s+3)³ 1. 2s 2 - 2s2+72 (s+3) 1 2 2s s2+72 (s+3)² 1 + 2s 2s2+72 2…

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Q: a3z cos(x – 4y) show that a3z 6. For z = дудхду

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Q: Find L[t cos 8t] s2-64 (s2+64)2 8-s (s2-64)2 64-s2 s2+64 8+s 82-64

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Q: Q25: A = e-2x – 3x5,B = 2Vx, C = sin³ 3x + find A" + B" – C'. - (а) —8e-2х sin 3x sin 6x – 180x? 1 1…

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Q: F.(3e-7 cos(3x')) is equal to 3. T9+o 1 -7 cos 12 4 O b. 2 3, T9+o 3 cos 9, 12 4. 12 3. 2 COs Va 4+o…

A: Using the Fourier cosine transform table, the following formulas can be written.…

Q: Find L-1 s2+4s+29 cos(5t) -cos(5t) O 15 cos(5t) – 2 sin(5t)] - O sin(5t)

A: