Problem #7: Consider the following functions f(t) and g(t): f(t) = 4t g(t) = sin(9t). (a) Find the Laplace transform F(s) of the convolution f*g. (b) Find the convolution (f*g)(t). Hint: it is also possible to find this convolution without computing the integral directly. Problem #7(a): Enter your answer as a symbolic function of s, as in these examples Problem #7(b): Enter your answer as a symbolic function of t, as in these examples

Q: (a) Y(s)-e-5s (85-3) s²+6s+12

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the inverse Laplace transform of 1 G(s) = s2 – 4s + 5

A: Given,

Q: A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 inches, a…

A:

Q: 1. f(t) = e-3t-2| %3D

A:

Q: B) Find Laplace transform of each of the following: 1) f(x) = 0.5e3x + cos(bx) ex sin(cx) - at 25 2)…

A: Solution of the given question is like as

Q: 2. Find the inverse Laplace transform of: 4e-its (a) F(s)= s(s²+4) 12eT (b) G(s)= (s+2)*

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Q: If F (S), G (S) is a Laplace transform of the two functions f (x), g (x), respectively. So probve…

A:

Q: Consider the following functions f(t) and g(t): f(t) = 3t g(t)=sin(61). (a) Find the Laplace…

A: Given  and

Q: Compute the Laplace transform of f(t)=u(t−7)eªt

A: Given that  f(t)=u(t-7)e-4tu(t-7)=1t>70t≤7 Use the fact that L{eatf(t)}(s)=L{f(t)}(s-a).

Q: 9.) The Inverse Laplace tra (A) In(s² - 2-3 (C) //e+ + 3/e³1

A: Inverse Laplace transform of the function