Maintenance Engineering and Management

May 12th, 2015
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1. Find the Laplace transform of the following functions: a. f(t) = 𝑒 𝑡/2 𝑆𝑖𝑛(𝑡) b. h(t) = 𝑒 −5𝑡 + 2𝑒 3𝑡+1 − 9 2. A smoke detector is routinely inspected.

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Assignment1 IENG 4562IENG 4562 Maintenance Engineering and ManagementSeptember 17th, 2014Alireza GhasemiAssignment #1(Chapter 1 &2)1. Find the Laplace transform of the following functions:a. f(t) = /2 ()b. h(t) = 5 + 2 3+1 92. A smoke detector is routinely inspected. Eighty percent of the detectors found inoperative had experienced a power surge, and twenty percent of those found in operating condition had experienced a power surge. 10 percent of the detectors inspected have failed. What is the probability of a detector failing given it experiences a power surge? 3. Having the following hazard rate for the time to failure of a component (in operating hours): (t) =a.b.c.d.e.0.4tt0Find all other three functions that characterize a failure process (i.e. The

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