#4) Solve the below initial value problem. You may re-use previous calculations where applica-ble.dxdr[-36.9 21.0] 84.630.8 62.253.9+, 7(0) = 0

Answered: #4) Solve the below initial value…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Suppose E(X) = 1, and a = .98. What is E(aX)? (Please round to two decimal places: ex: 12.34)
Let us revisit a question from a few problem sets ago with slightly different numbers. A patient takes 200 mg of an antibiotic every 6 hours. The half-life of the drug (the time it takes for half of the drug to be eliminated from the blood) is 6 hours. Let dn denote the amount (in mg) of medication in the bloodstream after n doses, where d₁= 200. 1. Explain why dn+1 = 0.5dn + 200, d₁= 200 is the correct recurrence relation. 2. Use the recurrence relation to write down the expressions for d2, d3, and d4. Do not simplify- instead, keep powers of 0.5 in your answers. 3. You should see that each dn is a geometric sum. We are interested in finding the long-term (steady state) amount of antibiotic in your blood, i.e., limno dn. Write this limit as an infinite series using summation (E) notation. 4. Evaluate the geometric series from the previous part using the geometric series formula. 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁ = 200 and the assumption that dn→ L to…
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Airodyne Wind, Inc., has wind tunnels that can operate vertically or horizontally for evaluating the effects of air flow on a component's PCB response and reliability. The company expects to build a new tunnel that will be outfitted with multiple sensor ports. For the estimates below, calculate the equivalent annual cost of the project. First Cost Replacement Cost, Year 2 AOC per Year Salvage Value Life, Years Interest Rate The equivalent annual cost of the project is $ $-250,000 $-330,000 $-940,000 $280,000 5 11%
Suppose E(X) = 8, and a = .91. What is E(aX)? (Please round to two decimal places: ex: 12.34)

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#4) Solve the below initial value problem. You may re-use previous calculations where applica- ble. dx dr [-36.9 21.0] 84.6 30.8 62.2 53.9 + , 7(0) = 0