نه 2 5. Let F(x) = - [ « tet-2 + t3 +1 dt, find F'(2). tt + 3
g3ه 5. Let F(x) = وب tet-2 + t3 +1 - dt, find F (2). tt + 3
Find the Laplace Transform
(d) f(t) = te, 0<t<1, et, t > 1. l
Consider the signal x(t) = te-atu(t), a > 0 Find to = 1.00 /*(t)?|dt Find to = 10lx(t)2|dt Can simplify to → %*tx?(t)dt x2(t)dt
1. (5 points) Let 0 <t<4 f(t) = {t, t24 Find L{f(t)} if it exists. For what values s does the Laplace transform exist?
Consider: S x2-yds, C: r(t) = (e"? 2, 1+e'), te[0,2] Which one of the following "regular" integrals represents the above line integral. dt O a. Ob. V 4 dt 0 S'Vertel dat O d.o Question 8 10 point Consider: | <x?,v/dr, C: r(t) = (sint, cost), te[0,1] Which one of the following "regular" integrals represents the above line integral. S". cost sint - cost sint dt O a. o П 1 sin2tdt 0 s "cost sin’t + cost sint dt...
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someone help me solve these problems please
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a). Calculate the follow derivative: cot tdt b). Find F (20) = f(t) dt, where f (20) = S lifo <<<1 1 x ifl<52.
tet 3. Let (1 3 3 A= 0 1 3 . f(t) = 0-3 1/ Find the general solution to i' = AT + f. -3te2t \(t+11)e24
Let Xi X, lid f(r 0) with f(r:0)-e ( e) for r > ? and ? e R. (a) Find the MLE of ? (c) Using the prior density ?(0)-e-91(0,0)( ?), find the Bayesian estimator of ?
5. Let F(x) = Lates te-2 +tº+1 -dt, find F'(2) 1 + 3