Could you answer problems 3 and 4? 3.Find L-1-1728-144s-132s²-24s3s5+12s4 +12s³ +144s²4.Use the laplace transform method to solve the DE y" + 7y' +6y=0 withy(0) = 0; y'(0) = 3

ℒ-1-1728-144s-132s2-24s3s5+12s4+12s3+144s2 We have to find a solution. “Since you have asked…

Answered: Find L -1 -1728-144s-132s²-24s3 s5+12s4…

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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Consider the following problem: "You and a friend go to dinner with four couples. Before dinner, everyone shakes hands with each person that they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 0, 1, 2, 3, 4, 5, 6, 7, 8. How many hands did your friend shake?" Which of these problems below represent a simpler problem that could help you solve this one? O You and a friend go to dinner with two couples, and everyone shakes each othes person's hand. How many handshakes did your friend give? O You and a friend go to dinner with one couple, and everyone shakes hands with each person they've never met. During dinner, you ask everyone how many hands they shook. You get the following answers: 1, 1, 1. How many hands did you shake? O You go to dinner with two couples, and everyone shakes each other person's hand. How many handshakes total happened? O You and a friend go to dinner with one couple, and everyone shakes hands with each person…
For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X BIN (9,0.54). Assume you are about to play the game. 12. What is the probability you will tame less than 4 dogs?
For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X~ BIN (9,0.54). Assume you are about to play the game. 15. The probability that you will tame some number a or less dogs is 0.66144. What must be (round to the nearest whole number)?

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