Question: Prove that L(S(t-a)) = e -as

Prove that

L(S(t-a)) = e -as

L(S(t-a)) = e -as

Step by Step Solution

★★★★★

3.38 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Prove Theorem 2.2.4 on page 73. In Theorem 2.2.4 Suppose that A1, A2, and B are events such that Pr(A1 B) > 0. Then A1 and A2 are conditionally independent given B if and only if Pr(A2|A1 B) =...

Q:

Prove Theorem 5.3.3. Prove that by applying Taylors theorem with remainder (see Exercise 13 in Sec. 4.2) to the function f(x) = log(1 + x) around x = 0. lim n log(+an)-ancn 0

Q:

Prove Taylor's Inequality for n = 2, that is, prove that if | f'''(x) | ( M for | x - a | ( d, then |f'''(x)| ( M/6 for |x - a|3 for |x - a| ( d

Q:

theory of computation 2. Let = { a, b) . Prove that L = trw: w e ta, b} * } is not regular. 3. Let a, b. Find a grammar that generates the language L: 4. In your own words describe the language...

Q:

Lie Algebra A Lie algebra L is said to be reductive if Z[L) = Rad(L). (For parts (b), (e), assume char}: = 0 and k algebraically closed.) (a) Prove that a reductive Lie algebra is a direct sum of an...

Q:

Answer each of the following independent questions. Ignore personal income taxes. Use Appendix A for your reference. (Use appropriate factor(s) from the tables provided.) Required 1 Suppose you...

Q:

Can someone please walk me through so I can understand how to solve? (2) (i) Prove language L = { a"wb : w e {a, b)", n 20} is regular by design an na to accept it. (ii) Write the function MFA : Qx...

Q:

Prove that if A and B are subsets of R and | B) = 0, then | A U B| = |A|. Suppose A C R and t E R. Let tA = {ta : a E A}. Prove that ItA| = It| | Al. [Assume that 0 . co is defined to be 0.]1st...

Q:

Math 636 Final - Quiz Component 1. The system of linear equations 2x2 x3 = 3 2x1 + x2 + 2x3 = 1 x1 + x2 + 3x3 = 2 (a) is consistent with a unique solution. (b) is consistent with infinitely many...

Q:

2. (7 points) Common Pumping Lemma Misunderstandings (a) (2 points) You are a CS4510 TA, and you are grading the following question: "Is the language L = {w w is a binary string with at least as many...

Q:

Briefly define or describe information and values in relation to leadership theories in public administration. Can personal value preferences cause conflicts in the decision-making process? If so,...

Q:

1. A hollow steel shaft 2.54m long must transmit a torque of 34 kN-m. The total angle of twist must not exceed 3 degrees. The maximum shearing stress must not exceed 110 MPa. What is the inside...

Q:

A uniform crate with a weight W = 2.9 kN is connected to two opposing weights Wy = 2 kN and W by thin cables that pass over frictionless pulleys, as shown in the figure below. The crate has a length...

Q:

There are two goods: good A and good B. Assume that the supply of good A is perfectly inelastic, and the supply of good B is perfectly elastic. Draw two graphs to compare the effects of sales tax...

Q:

3. A company rates its performance in a given year as strong, average, or weak. The company has determined that if it has strong performance in a given year, then in the following year it is equally...

Q:

Disney World - Video 1 - https://www.viddler.com/embed/d808ad8/?f=1&player=arpeggio&secret=51155797&make_responsive=0 Disney World - Video 2 -...

Q:

RLMT 3 0 1 : Can you respond to this? Make an open - ended question at the end. Reverse Logistics encompasses all operations that are related to the upstream movement of products and different...

Q:

An example of prescriptive analytics is when an action is recommended based on previously observed actions. For example, an analysis might help determine procedures to follow when new accounts are...

Q:

Suppose that is of bounded variation on a closed, bounded interval [a, b]. Prove that is continuous on (a, b) if and only if is uniformly continuous on {a, b).

Q:

Let a) Prove that μ satisfies the heat equation (i.e., μxx - μt = 0 for all t > 0 and x R). b) If a > 0, prove that u(x, t) 0, as t 0+, uniformly for x [a,...

Q:

Let H V Rn, with H convex and V open, and suppose that : V Rn is C1. a) Show that if E is a closed subset of H and then h(x)/||h|| 0 uniformly on E, as h 0. b) Show that if R is a closed...

Q:

What amount must be invested today to provide for quarterly payments of $2500 at the end of every quarter for 15 years after a six-year deferral period? Assume that the funds will earn 5% compounded...

Q:

An investor purchased a deferred annuity contract for $4608.07, a price calculated to provide a rate of return on investment of 9.75% compounded monthly. The semiannual payments of $400, once...

Q:

Duncan retired recently and plans to utilize other savings for a few years while his RRSP continues to grow on a tax-deferred basis. The RRSP is currently worth $142,470. How long will it be until...