Show transcribed image text 10) The Hyperbolic Tangent function is often used in Chaos Theory to model differential flows such as the one to the right, which is the graph of the differential equation y" (t) = y2-(π + e)y +1e. Being able to manipulate the limits of the hyperbolic functions is an essential skill for a dynamics researcher. Consider the graph to the right. Curves in the central region appear to have the property that limo f(x) = π and lim f(x) e Conside form y = a tanh(b(x + c) + d which satisfies the above limits and goes through r a Hyperbolic Tangent function model of the π+e the points (e, 3) and (r,m Find values of a,b,c, and d for this model. Give exact answers in terms of e, pi, and In as needed. Simplify! Hint 11) Consider the function fCx) 25000The function has two 2x-3 oblique asymptotes. Find the equations for the oblique asymptotes for this function in the form l (x) = mx + b. Note that m and b may be irrational numbers do not round. Asymptote Asymptote