F(t, u) consider the following numerical method to solve u' = 1 un+1 = u" += (f\ + f2) , 2 where k is the time step, and fi f(t",u"), f2 = f(t" k, u" +kf\), (a) what is the order of local truncation error for the method? (b) what is the absolute stability region of this method? does it include the entire negative real axis? (c) take f(t, u) compute the solution up to the final time t = 1. verify the conclusion in (a) by your numerical results = -u +t with u(0) = 1.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

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