Mathematics, 07.03.2020 03:03, Sariyahhall1
The cable equation ut-γ uzz-at, with γ, α > 0, also known as the lossy heat equa- tion, was derived by the nineteenth-century Scottish physicist William Thomson to model propagation of signals in a transatlantic cable. Later, in honor of his work on thermodynamics, including determining the value of absolute zero temperature, he was named Lord Kelvin by Queen Victoria. The cable equation was later used to model the electrical activity of neurons. (a) Show that the general solution to the cable equation is given by u(t, x)-e-atu(t, z), where u(t, z) solves the heat equation tr γ'm (b) Find a Fourier series solution to the Dirichlet initial-boundary value problem vt = γ uzz _ αν, υ(0, z) = f(x), u(t,0) = 0=r(t, 1), 0 1, t>0 x Does your solution approach an equlibrium value? If so, how fast? (c) Answer part (b) for the Neumann problem
Answers: 2
Mathematics, 21.06.2019 20:30, ultimatesaiyan
Answer asap ill give ! ’ a sample of radioactive material decays over time. the number of grams, y , of the material remaining x days after the sample is discovered is given by the equation y = 10(0.5)^x. what does the number 10 represents in the equation? a. the half-life of the radioactive material, in days b. the amount of the sample, in grams, that decays each day c. the time, in days, it will take for the samples to decay completely d. the size of the sample, in grams, at the time the material was discovered
Answers: 1
Mathematics, 21.06.2019 22:40, michaellagann2020
Adeli owner keeps track of the to-go orders each day. the results from last saturday are shown in the given two-way frequency table. saturday's to-go deli orders in person by phone online total pick up 38 25 31 94 delivery 35 28 34 97 total 73 53 65 191 what percent of the to-go orders were delivery orders placed by phone? a. 14.66% b. 38.41% c. 28.87% d. 52.83%
Answers: 2
The cable equation ut-γ uzz-at, with γ, α > 0, also known as the lossy heat equa- tion, was deriv...
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