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Find the Stable Points?
Consider the equation y = k - cosh(x), where k >= 1. The graph of this equation will look like the Gateway Arch in St. Louis, MO. Now, graph the equation and, on the same set of axes, graph the equation y = x. Notice that the two graphs intersect.
Find the point of intersection of the two graphs; phrased differently, find out the value of x such that x = k - cosh(x). You may use whatever value of k you like.
For which value of k will the tangent line at the stable point have a slope of -1?
1 Answer
- Anonymous1 decade agoFavorite Answer
use perhaps the Riemann's dzeta function