4. Find the convolution of the following functions a. f(t)=t g(t) = sin 3t b. f(t)=é...
2. Find the Laplace transform of the following functions (a) f(t)3t+4 (b) cos(2Tt) (c) sin(2t T) (d) sin(t) cos(t) "Use Trig. Identity" (e) f(t) te 2t use first shifting theorem
4. Find the LaPlace transforms for the following functions. (5pts) (a) f(t) = 3t2 - sin 3t (b) t +1 (2-et ostsil t21
Find the LaPlace transforms for the following functions (a) f(t)=3t^2-sin3t (b)
Find the convolution of the following functions. After integrating find the LaPlace transform of the convolution f(t)=t^2 g(t)=e^-t
Calculate (3t) * t^4 where * denotes convolution. (3t)*t^4 =
Find the convolution f(t) *g(t) for the following problem. f(t) = g(t) = 9 sint (f*g)(t) =
Consider f(t) = cos(9t), g(t) = et. Proceed as in this example and find the convolution f ∗ g of the given functions.
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0
Let @ denote the convolution operator. If f (t) = 50 e and g(t) = sin (7t), calculate (fⓇg) (t).
4. Use the convolution integral to find f, where f = g*h, and g(t) = et ult) h(t) = e-2t u(t) Note that both of these are causal to simplify the integration.