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My matrix is: matrix = [ [0,3,4,1,3], [4,0,1,3,4], [4,3,0,4,4], [4,1,4,0,2], [2,4,3,4,0], ] The ranking for my league is below. Team 3 is the highest ranked in the league. Team 3: rating = 0.5176519293474793 Team 5: rating = 0.4613383888892107 Team 2: rating = 0.4237581736661745 Team 1: rating = 0.41451885767177027 Team 4:…
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The temperature in the lower right corner of the bar is $0.74727$.
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The temperature near the midpoint of the insulated edge at $t=1 s$ is $2.18727$.
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A metal bar of length 1 lies along the unit interval. Its temperature distribution is given by $$g(x) = 6x^2 - 2x.$$ At time $t=0$, its left end is set to temperature $3$ and its right end to $3$. Sketch the temperature distribution at times $$t = 0, t = 0.01, t = 0.1, t = 10.$$
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Heat flow with a constant internal heat source is governed by $$u_t = 2u_{xx} + 8, u(0,t) = 1, u(1,t) = 7.$$ Find the steady state temperature distribution. The steady state distribution is when $u_t = 0.$ I solved the given equation for $u_t = 0,$ which gives me the value of $u_{xx} = u''(x) = -4.$ I then…
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The displacement from equilibrium of the midpoint of the string at t=1.2 s is -0.280.