5. t³e1.5t cos t

Q: T/4 ttant dt 2+ cos t -7/4

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Q: b. e4t cos x dx

A: Solution of the problem as follows

Q: 2. f(1) =t cos8t +2

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Q: 3 S² x³ cos x ²dx 6.

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Q: T/2 cos(9t) cos(18t) dt

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Q: Find L{cos(6t)} Note: L{cos(bt)} s24 In this example b = 6

A: The given function is cos6t To find its Laplace transform Lcos6t The formula for the Laplace…

Q: 4. Find L cos t +t² – 3e¬9t + 5

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Q: Evaluate L{t cos 4t} s2 +4 b) 52 – 4 s2 + 16 c) s2- 16 s2 - 16 d) s2-4 a) s2 +4 s2 +16 O a O b

A: None of the options are correct

Q: Fimk ® y = e* Cos 2x

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Q: 14-f(t)= cos 2t.

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Q: a) L 8(t) cos(48tt) dt b) 8(t – 5) cos(nt) dt c) L[8(t +3) – 28(4t)]dt

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Q: d'y 6. if y =, dx² 1-cos4x 1+cos4x du

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Q: 2e cos 2t

A: Given,       2elncos2t

Q: S 5 sin(3x)e2cos(3r)dx

A: Solve integral by substitution method:-

Q: 7 6.) Let Y 4(cos' (3x+3)> ニ Find dy dx

A: The given function is y=4cos73x+3. Obtain the derivative as follows.

Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: OPnd w if ww=fcカっ) find メ= Sint dt

A: We have to find d2wdt2, Where w=f(x,y) and x=sint , y=t2 We will get  d2wdt2 by differentiating w…

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: 2. Vsin 3x cos 3xdx

A: Given: I=∫sin3xcos53xdx For evaluating given integral, we substitute sin3x=t…

Q: b) S cos²2x dx

A: Solution:- The given integral is  I=∫cos22x dx

Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

A:

Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: 1. f(t) = cos42t 2. f(t) = cos²5tcosh²5t

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 2. f(t) =t cos 81 +2

A:

Q: t Cos(4t – 2019) 4.) f( 1)=

A: Given that: f(t)=tcos(4t-2019)

Q: 3. Evaluate L{4e-2tt3 +t sint cos t}

A: L4e-2tt3+t sint cost

Q: d (c) (cos(2²) + In(3 – 2æ)) dx

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Q: /4 (6) Evaluate I cos y dz dr dy = A. B. C. D. A

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Q: Find L-s+9)2–36 e- 76- –9t sinh6t 16 e-cosh6t 6. 16 e "cos6t 16 9t

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Q: :S (1 – ±) cos(uw – In w) dw.

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Q: O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

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Q: のSX 3 +23 +5y +5y = e + 40 Cos loX-190 Sin lox

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Q: 125. y = / V2 + cos³t dt

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Q: 2 Ql Eind dyldxf x+3X+4= Cos y

A: Differentiate w.r.t x

Q: -31 cosh 2t 7. (a) 2e- sinh 3t (b)-

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Q: e 8(t – 3) dt = e^15 cos(31)6(t – 5) dt =

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Q: Find L(e³t cos 2t)

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Q: 22: Evaluate Sea s cos²(y s) ds.

A: Solution:-

Q: '(s) (c) y= sv1– s+ cos

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

Q: 11.| V1- сos 2x dx COS

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Q: S' SE x² cos(xy)dxdy

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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: If L(ešt + cos(3t)) = As²+Bs+C (s–5)(s²+9) the value of C is

A:

Q: 11. y= e4x %3D 2x 12. y= e cos 3x

A: We can solve this question using chain rule and product rule of derivative.

Q: 9. y = logs (e cos(2x))

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Q: 7/2 d sin dx dx COS

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Q: 2 35 sint x cos³x «

A:

Q: 5.S Vsin 2x . cos2 x dx

A: Integration is a process of adding up infinitesimally small pieces of an area. There are mainly 2…

Q: 4e + 6x° + 9 cos z)dr %3D

A: Given