please ASAP! QUESTION 5 There exists a function f such that S2++1 L(f) (s) = s2-5+1...
= 0 and L{f} = (s2 + 2s +5)(s - 1) A function f(t) has the following properties: f Ps – 10 is an unknown constant. Determine the value of P and find the function f(t). 28 +5)(-1): Where P
c. There exists a piecewise continuous and exponential order function that L[f(t)] = 3. True False Reason c. There exists a piecewise continuous and exponential order function that L[f(t)] = 3. True False Reason
9s 11 (1 pt) Find the inverse Laplace transform f(t) = L=1 {F(s)}| of the function F(s) s2 2s5 9s 11 f(t)= L' help (formulas) $2-2S+5
please explain steps. I know U(f,P)-L(f,P)= something that *16. Let S = {S1, S2, ..., Sk} be a finite subset of [a,b]. Suppose that f is a bounded function on [a, b] such that f(x) = 0 if x € S. Show that f is integrable and that sa f = 0.
1. Suppose that f : NR. If lim f(n+1) f(n) = L n-oo prove that lm0 S (n)/n exists and equals L 1. Suppose that f : NR. If lim f(n+1) f(n) = L n-oo prove that lm0 S (n)/n exists and equals L
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?
2. Let f: R R be a continuous function. Suppose that f is differentiable on R\{0} and that there exists an L e R such that lim,of,(z) = L. Prove that f is differentiable at 1-0 with f,(0) = L. (Hint: Use the definition of derivative and then use mean value theorem) 2. Let f: R R be a continuous function. Suppose that f is differentiable on R\{0} and that there exists an L e R such that lim,of,(z) =...
(1 point) Find the inverse Laplace transform f(t) = --!{F(s)} of the function 5 9 F(s) = + 52 S+9 S 5 f() = 2-1 { + 640] = s2 help (formulas)
Consider the function f(t) whose Laplace transform F(s) = L{f(t)} = $5+2 We know f(0) = 0 and f'(0) = 4. Answer the following questions. Please write down the numerators and the denominators separately. Use "A" for the power operation, e.g., write s^5 for 5”. • L{f"(t)}= - Lle="r() = - 19(e) = 'ermite – wsin(26) dw, men zl940)= • If g(t) = wf(t – w)s in (2w) dw, then L{g(t)}= • If y(t) = L-'{e-35F(s)}, then y(1) =D and...
1. Let S and S2 be bounded sets in R", and let f : SU S2 + R be a bounded function. Show that if f is integrable over S, and S2, then f is integrable over Si S2, and Janson = Sesia f - Soins f. Sins2