Find L{(t- 1) (2 - 5 sin 3t)}. 15 30s s2+9 (s²+9)? 2 15 15 s2 (s²+9) s(s² +9) 15 15 3-号- 3? (s²–9) s(s² –9) 30s 5s s2+9 2 s2 (s2 –9)?

Q: sin(7n) A 1. n2 (-7)" C 2. n=1 (-1)" A 3. 4n + 5 (n + 1)(2² – 1)" - 4. 22n Vn 5. (-1)", n+ 5 C n=1

A: 1. the given series is ∑n=1∞sin7nn2 the given series converges absolutely. therefore, the correct…

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: 16s Ans. 1) f(t) = 4t sin 2t (s2 + 4)2 %3D

A: according to the guidelines I am answering only first question. rest of the question are similar to…

Q: how can i show that  t/(1+t2 )-tan-10  algebraically?

A: Let gt=t1+t2-tan-1t

Q: L {(t + 3) sin 2t } = Select one: s2 – 4 (s² + 4)² s2 + 4 s? – 9 + (s² + 9)² s2 + 9 6s (s² + 9)² +…

A: Lsinat = as2+a2. If Lft = F(s) then Ltn f(t) = -1ndndsnFs.

Q: Find L-1. by convolutions. l(s-1)².

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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: "(2) – 16f(2)) sinh(4x) dr Find the value of in terms of f(0) if f(a) = f'(a) = 0. %3D f(0) O f(0)…

A: See the calculation below  Fourth option is correct

Q: 2) Find L{te"sin5t} using two methods. ans: (s+2)2+25

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Q: 7. S. 5x4x² 3 sin 2x y = 2 y = 4

A: Solution ) y = 25x .34x^2 Take log both side  log y = log ( 25x .34x^2 )  [ log m.n = log m + log n…

Q: 4) USE THE GAUSS-JORDAN 2 0 -3 0 2 0 -4 1 A= 1 -1 1 - 3 0 2 1 - 4 || REDUCTION METHOD (SINE…

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Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

A:

Q: ーズ ず+2+4= 8x°+ 12€ (10 +2y+4y = 10 Sin 3X 42デ+44- gSia2x

A: As per the guidelines I have to solve only first question. So for more solutions please repost the…

Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: Find f(t). f(t) = exp(-3t) sin(t) exp(t) sin(3t) exp(3t) cos(t) exp(-t) cos(3t) exp(3t) sin(t)…

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Q: Q1 Find root of equation f(x) = In (x')-5, using N-R method in [5,6] with e S0.0001, take E=|x1-x,…

A: Note: It is assumed that the N-R method is the Newton-Raphson method. The root of the equation…

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: What is L - 2s +3| ? 5s² – 10] A. -2cos 2t –3.sin 2t 8. cos ār -sin v31 sin 3t 3 C. cost --sint 2 D.…

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Q: Find L{(1 – t) (3 + 2 sin 5t)} . O 3 3 2s 10s §2 s2 +25 (s² –25)² 3 3 + s3 s(s2–25) 10 10 s2 (s²…

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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)…

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Q: Find L[e2t+2 + e-2t cos 3t + e2t t sin(2t)] A)+ 4s-8 s+2 s-2 ((s-2)2 +4)2 (s+2)2 +9 e2 B)- s+2 s-4…

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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: 3. L sinh %3D 4s .a O 4s²-9 3s .b O 3s2 - 4 12 .c O 16s?-9 9s 9s2-16

A:

Q: Find L[e2t t sin(2t)+ e2t+1 + e²t cos 2t] 2s-4 s+2 A)+ A) s+2 * (s-1)² +4)² (s+2)² +4 45-4 S-2 B) +…

A: Given below an detailed solution

Q: 1. The initial guesses of the roots are x-1 = 2.5 and x, = 3.5 , what is the next iterative value of…

A: According to our company guidelines, we can solve the first question only and the rest can be…

Q: Find -2s3 + 9s² – 8s + 18 -1 s (s2 + 4) (s + 1) (3-5e+3 sin 2t ) (4 - 5e' + 2 sin 3t) (1-3e+3 sin…

A:

Q: d x 2. 1+xVI-(Tanin)

A:

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: L[2 sin² 3t] s2+9 1 S s2-36 3 s2–9 1 s2+36 |

A:

Q: L- ( In s4 (s2+9)(s²+4) + cos 2t + sin 3t cos 2t+cos 3t - t 2 cos 2t – 2 sin 3t | sin 2t + cos 3t -…

A:

Q: Find L{(t-1) (2 – 5 sin 3t)} O 2 s2 2 5s 30s - s2+9 (s² –9)² 2 2 82 15 30s s2+9 (s2 +9)² 2 _ 2 15 15…

A: We need to find the value of L{t-12-5sin3t} Formula to be used L{tkft}=(-1)kdkdsk(Lft), L{t}=1s2,…

Q: Evaluate L{3(sin² 2t )} 24 24 24s 24 а) s(s² + 4) b) d) s(s² + 16) s(s² + 16) s(s² – 16) a O Option…

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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: What is L 2. s² -7 s -36 cosh 3t +sinh 9t 3. B. cosh7t +sinh 6t C. 5cosh 10t + sin 2t D. s 31 +sin…

A:

Q: Find L{(t – 1) (2 – 5 sin 3t)} . O 2 5s 30s - 82+9 (s2 -9)² 2 15 15 - - s2 (s² –9) $(s2-9) 15 15 2…

A:

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)…

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Q: Find L{(t- 1) (2 5 sin 3t)}. 30s 52+9 15 15 s2 (s2+9) s(s² +9) 15 2 g2+9 30s 15 15 s2 (s²-9) s(s2-9)

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Q: Find L[t sin 3t] (s2-9)2 3 s2+9 6s s2+9 6s (s2+9)2

A:

Q: } Find L Find L-1-2s³+9s² – 2s+12 s(s²+4)(s+1) S (1 — Зе + 3 sin 2t) (4 – 5e + 2 sin 3t) о (3 — 5е +…

A:

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…

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Q: xdx is (x²+4)(x²+9) In(x2 + 4) + In(x² + 9) + C In r+2 +In+C x+4 O Option 1 O Option 2 tan )+tan "()…

A: Let's find.

Q: 5s s+4 s2 + 16 -f(t) 3e 4t-5 cos 4t C. f(t) = 3e¬t - 5 sin 4t .f(t) = 3et-5 cos 4t D. f(t) = 3et - 5…

A: Given Laplace transform is F(s) = 3s + 4 - 5ss2 + 16

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)…

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Q: Find L{(t – 1) (2 – 5 sin 3t)} . 2 2 15 15 + 83 s2 (s2 +9) 8(s2 +9) 2 15 30s s2+9 (s²+9)? 15 15 2 s3…

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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: 5s s + 4 s2 + 16 A. f(t) = 3e-4t - 5 cos 4t C. f(t) = 3e-4t – 5 sin 4a B. f(t) = 3e4t - 5 cos 4t D.…

A: Given F(s) = 3s + 4 - 5ss2 + 16

Q: 24 Show that the solution of equation satisfying the condition O T-0, as t0 (1) T-0, for x-0 and x=a…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Consider the following IVP: " + 4x = t+4; x(0) = 1, x'(0) = 0 Find the general solution. (A x(t)…

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Q: Find L{(t – 1) (2 – 5 sin 3t)}. 2 15 15 + s(s² +9) s2 (s² +9) 5s 30s s2 +9 (82–9)² 2 15 15 s2 (s²…

A: