Let y=21+12 bea tangent line to /0 a=0 and let the Laplace transform of 70.70. and /0 exist. If the Lapace transform of /0)is F(@) ind the value of lim sF(s)- 12s. 13 Nane 20:0/Geren

Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

A:

Q: 5 sin [ -5TT X<ST %3D otherwise

A:

Q: Find the Laplace Transform of the following: (2 3. h(t) = }t t 4

A:

Q: cos(: sin@)]=[- sin(esin@)]. * (b) (i) Show that - cose dt

A: We will use product rule of differentiation here

Q: A = [0] Find sinh At

A:

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

Q: 1 Let cos A = with A in QIV and find V10 sin(2A) = Preview

A: Please see the answer below

Q: The Laplace transform of L(sin7t) is IS (s? + 7) (s? + 72) 7. (s2 - 72)

A:

Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

A:

Q: Evaluate

A:

Q: Find the inverse Laplace transform L-{F(s)} of the given function. 18 F(s) = s2 + 9 Your answer…

A:

Q: Find the Laplace transform of sint 0<t<27 f() =

A:

Q: f indd Pm in tev ms of @m-l and @gtl n+l -ax dx m,n-1 dx I. Cm, m-l= Hint: Recursive Method Matrid…

A:

Q: Prove that the Laplace Transform of sin(at)+at cos (at) is 2as? (s` +a°)* Please show your Solution…

A:

Q: Lim sinx? s 2x Cos COS X

A:

Q: Question(s) 2. Find the Laplace transform of t°cosh at 3. Find the Laplace transform of e-2tt sin³t…

A: As per Bartleby Instructions, only q.no 2 can be solved. Upload others separately.

Q: S , use the translation property to compute eat cos bt). *** Given that cos bt)(s) = s². Click here…

A: The translation property is: Leatft=Fs-a

Q: +(x)=sin' (tan 3x) 1-

A: Since you have posted multiple questions, as per our policy we will answer first question. please…

Q: 70. Which of the following. is the inverse Laplace transfor B (B^2-9)/(s^2+9)^2 ? A. cos (3t)+3t…

A: The given expression for the inverse Laplace transform is:The objective is to determine which of the…

Q: 3) L {cos лt}

A: The formula of the Laplace transforms of cos(at). L[cosat]=ss2+a2 L[cosπt]=ss2+π2

Q: Determine the Laplace transform of L(sinh 5t * cos t)

A: Explanation of the answer is as follows

Q: 16. If 0 = arcsin x, express tan 0 in terms of x.

A:

Q: Find the convolution (f * g), after integrating find the Laplace transform of (f * g): f(t) = cos2t,…

A: We have to find convolution (f*g) and the Laplace transform of (f*g) wheref(t)= cos2t, g(t)= et .

Q: S car'x dx cos

A: To find: The value of ∫cos4x·dx. Given: The integration is ∫cosnx·dx=sin x·cosn-1xn+n-1n∫cosn-2x·dx…

Q: 7. lim a sin(1/a) =

A: In this question we need to find the limit of given function

Q: ,2x Set* sin(e2*)dx

A:

Q: 3. Find CH(t) when H(t) = (et-3)(e?-) %3D

A:

Q: Lind Lim Sin'(Ox) sin (sx) X-o

A: According to the L'Hospital's rule, if limx→mf(x)g(x) takes the form of 00 or ∞∞, then limx→m…

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

A: