9. t² cosh 3t 10. t³ sinh t

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A:

Q: Find L[e-3t sinh 2t] s2+4 s+3 (s+3)2–4 (s+3)²+4 (s+3)2-4

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Q: sinh z 2) G Cosh z 3) d Coth 2 4) Tanhz A cschz 5) dz Camscanner l

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Q: 31+2 dy - of the function y= dt 7. Find +4 dy of the function y = 5 tan (6x)+ log, (36x² + dx 8.…

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Q: 3) y sin-ly² dy

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Q: 4) a²y=+52y =14 yat (2,1) Find equátion of tangent?

A: Equation of tangent  y-y1=m(x-x1) (x1,y1)are the points at which equation of tangent is to be…

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

Q: dy - år if y = In (sinh 50) and x = cosh 40 dx

A: Solving the problem by doing the derivative.

Q: 4. Show that 2 s w (b) L(t sinh (wt)) (s² – w²)2 -

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Q: 9. Vy + dy 415

A: We will be using the given rules to evaluate the answer

Q: 5 sin“(3t) dt

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Q: Hiw proo p. s (sinh at) =_a s- at Notes at

A: Explained below

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A: we have to find the value of L{sinh(6t)-cosh(t)}

Q: 1. S sinh ) dx 2. S sech? (x - ) dx 3. [6 cosh (- Inx )-) dx

A: Since you have posted multiple subparts question in this question so I have solved first question as…

Q: e (sinh x dx + cosh x dy) = 0

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Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

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Q: At time t = 0, then th

A: P(t)=0.5t4-16t3+144t2       , 0≤t≤12At t=0 the sale begins,costco is having a 12 hour sale,The rate…

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A: Given, I=∫dy3sinh y-5cosh y

Q: 200 J + Corxiy_Tanx sinx dy

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Q: d mula sinh (t) = In (t + VE? + 1) and- (In(t)) = } %3D ne derivative of sinh(t).

A: Here we use rule of differenciation to find the required derivative.

Q: 4 sin (2x) dx cos (2x)t4

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Q: 2. Cosh X y sinh x 2 cosh x sin dx dy dxxy = 1 5. (1-x)

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Q: S sin Vat dt

A: Let the given integral be: I=∫sinat dt

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: To use differentials to approximate V9. You would use x = and dx

A: Solis as follows

Q: 1- S7 cos(y)eSin(y)+9X dydx

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Q: 8. y = In(2e-t sin t)

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Q: 5. Find y', if y = 2cosx sin2x – sinx cos2x day 6. dx if y = 1-cos4x 1+cos4x dx² dy 7. a if y = In…

A: (7) Let y=lnsinh 5θ and x=cosh(4θ)

Q: (b) Find the differential for y = -5 %3D

A: Giveny=4x-53   ...(1)

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Q: 3) S cos(Inx) dx

A: according to guidelines we should able to do only one question at a time #3

Q: Verify the integration formulas in Exercise

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Q: L{e-4t cosh 2t} L{e=t (3 sinh 2t – 5 cosh 2t)} -

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Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: xt) t osh 3t sinh 3t + ws (ot - )

A: If f(t) is a function of t defined for all positive values of t. Then, the Laplace transform of the…

Q: 24. What does it mean to say that dV is an exact differential?

A: What do you mean by dV is an exact differential.

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: 13. F(s) = tan 2 sin t cosh t a (b) 2 cost sinht 2 cos t cosh t @ 2 sint sinht

A:

Q: 5) Inx Iny mz dx dy dz

A: Given: Let I=∫1e∫1e∫1eln x ln y ln z dxdydz To Find: To evaluate the given integration

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Q: d y' of y= In(tanh2

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Q: 7 Find (b) x siny-ycosx-y 1.

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Q: 5. f (t) sinh 3t + cosh 3t – 2t³

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Q: S sin Vz dx =

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Q: (1/4) Estimate the value of 82 a. approximation b. differentials

A: To estimate the value of 8214 by using a approximationb differentials

Q: 4) [ sinh 2xdx 5) [ e* sin e"dx 6) fcosh'vdv

A: Given:  4) ∫0π2 sinh(2x)dx5) ∫ln(π)2exsinexdx6) ∫cosh2vdv

Q: 2. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

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Q: Cualuate the definle integial. x33 COs (xH) dx

A: