Mathematics, 30.10.2020 17:30, Braxtonw875
Consider the following initial value problem for a spring-mass-dashpot system:
4x" + 16x' + kx = 0, x(0) = -1.5, x'(0) = 8
a) Find the value of the spring constant k that makes the spring critically damped.
b) If k=116, write the solution x(t) in the form Ce -pt cos( w1t_a1).
Answers: 1
Mathematics, 21.06.2019 23:30, bbby2
Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.
Answers: 1
Mathematics, 22.06.2019 01:30, charliiboddie29
Based on the diagrams, what is the value of x?
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Mathematics, 22.06.2019 05:00, laqu33n021
Marcus needs to bike at least 80 miles this week for his training. if he has already biked 25 miles this week, then how many miles should he bike on each of the 5 remaining days this week ?
Answers: 1
Consider the following initial value problem for a spring-mass-dashpot system:
4x" + 16x' + kx = 0,...
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