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Question: Sketch the bifurcation diagram of the following ODE for x ∈ R
dx/dt = -μ2 - x3 + ∈x
on varying μ, considering the cases ∈ > 0, ∈ = 0 and ∈ < 0. Be careful to indicate the stability of any branches and verify that there are saddle-node bifurcations for ∈ > 0. Verify for μ = ∈ = 0 that there is an equilibrium at x = 0 that is neither linearly stable nor unstable (this is called an Isola bifurcation). Show that the curve of saddle-node bifurcations in the (μ, ∈) plane is 9μ2 = 2√(3∈3/2) and plot this curve.
During the 1998-1999 Little League season, the Tigers played 57 games.They lost 21 more games than they won. How many games did they win that season?
Does anyone have a good explanation of linear separability?
Describe how you could use confidence intervals to help make a decision in your current job, a past job, or life situation.
Find the maximum value attained by the function f on the whole real line.
the area of a rectangle is 100 square inches. the perimeter of the rectangle is 40 inches. a second rectangle has the
If f(x) = 2 - 6x + x2 and g(x) = x/x - 7 + 1.5 find f(g(3)) and g(f(3)) and g(f(x)) before evaluating for 3. Round the answers to the nearest two decimal places.
Give an algorithm to build a rooted spanning tree for connected directed graphs in which each vertex has the same in-degree and out-degree.
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question 1 the graph below shows a companys profit fx in dollars depending on the price of pencils x in dollars being
According to the empirical rule, almost all the data should lie between (x-3s) and (x+3s). The range accounts for all the data.
MAST20018 - Discrete Mathematics and Operations Research State an upper-bound and a lower-bound on the vertex-chromatic number of the graph, and give reasons for your answers - Find an optimal colouring of the graph.
A person can generate about300 Wof power on a treadmill. If the treadmill is inclined at 2% and a 70-kgman runs at 3m/s for 45min, consider the following.
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