Question: Read this and answer the question

With the defeat of Marshal Bazaine's Army of the Rhine at Gravelotte, the French were forced to retire to Metz, where they were besieged by over 150,000 Prussian troops of the First and Second Armies. Napoleon III and MacMahon formed the new French Army of Chalons, to march on to Metz to rescue Bazaine. Napoleon III personally led the army with Marshal MacMahon in attendance. The Army of Chalons marched northeast towards the Belgian border to avoid the Prussians before striking south to link up with Bazaine. The Prussians, under the command of Field Marshal Count Helmuth von Moltke, took advantage of this maneuver to catch the French in a pincer grip. He left the Prussian First and Second Armies besieging Metz, except three corps detached to form the Army of the Meuse under the Crown Prince of Saxony. With this army and the Prussian Third Army, Moltke marched northward and caught up with the French at Beaumont on 30 August. After a sharp fight in which they lost 5,000 men and 40 cannons, the French withdrew toward Sedan. Having reformed in the town, the Army of Chalons was immediately isolated by the converging Prussian armies. Napoleon III ordered the army to break out of the encirclement immediately. With MacMahon wounded on the previous day, General Auguste Ducrot took command of the French troops in the field.

How many casualties did Moltke suffer at Beaumont?
Answer: 5,000 men
Question: Read this and answer the question

The first railways in Thuringia had been built in the 1840s and the network of main lines was finished around 1880. By 1920, many branch lines had been built, giving Thuringia one of the densest rail networks in the world before World War II with about 2,500 km of track. Between 1950 and 2000 most of the branch lines were abandoned, reducing Thuringia's network by half compared to 1940. On the other hand, most of the main lines were refurbished after 1990, resulting in improved speed of travel. The most important railway lines at present are the Thuringian Railway, connecting Halle and Leipzig via Weimar, Erfurt, Gotha and Eisenach with Frankfurt and Kassel and the Saal Railway from Halle/Leipzig via Jena and Saalfeld to Nuremberg. The former has an hourly ICE/IC service from Dresden to Frankfurt while the latter is served hourly by ICE trains from Berlin to Munich. In 2017, a new high speed line will be opened, diverting long-distance services from these mid-19th century lines. Both ICE routes will then use the ErfurtLeipzig/Halle high-speed railway, and the Berlin-Munich route will continue via the NurembergErfurt high-speed railway. Only the segment west of Erfurt of the Frankfurt-Dresden line will continue to be used by ICE trains after 2017, with an increased line speed of 200 km/h (currently 160 km/h). Erfurt's central station, which was completely rebuilt for this purpose in the 2000s (decade), will be the new connection between both ICE lines. The most important regional railway lines in Thuringia are the NeudietendorfRitschenhausen railway from Erfurt to Wurzburg and Meiningen, the WeimarGera railway from Erfurt to Chemnitz, the SangerhausenErfurt railway from Erfurt to Magdeburg, the GothaLeinefelde railway from Erfurt to Gottingen, the HalleKassel railway from Halle via Nordhausen to Kassel and the LeipzigHof railway from Leipzig via Altenburg to Zwickau and Hof. Most regional and local lines have hourly service, but some run only every other hour.

When was Thuringia's first railway built?
Answer: the 1840s
Question: Read this and answer the question

Capacitors deviate from the ideal capacitor equation in a number of ways. Some of these, such as leakage current and parasitic effects are linear, or can be assumed to be linear, and can be dealt with by adding virtual components to the equivalent circuit of the capacitor. The usual methods of network analysis can then be applied. In other cases, such as with breakdown voltage, the effect is non-linear and normal (i.e., linear) network analysis cannot be used, the effect must be dealt with separately. There is yet another group, which may be linear but invalidate the assumption in the analysis that capacitance is a constant. Such an example is temperature dependence. Finally, combined parasitic effects such as inherent inductance, resistance, or dielectric losses can exhibit non-uniform behavior at variable frequencies of operation.

What causes the assumption of constant capacitance to fail even if the effect is linear in nature?
Answer:
temperature dependence