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Study Resources (Calculus)

The following one-parameter family of differetial equations has one bifurcation value. Find the bifurcation value and sketch phase lines for values of the parameter slightly smaller than, equal to, and slightly larger than the bifurcation value. Hint: this kind of bifurcation is referred to as a "pitch fork" .
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The graph illustrates the prevalence of migraine headaches in males and females in selected income groups.(Source: Adapted from Sue/Sue/Sue, Understanding Abnormal Behavior, Seventh Edition) Write a short paragraph describing your general observations about the prevalence of migraines in females and males with respect to age group and income bracket. Describe.
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The function (a) Find and classify all the singular points of f(s) in the extended complex plane. (c) Hence, using the complex integral formula, evalute F(t) (by applying the following theorem: https://s3.amazonaws.com/iedu-attachments-message/6453f0d06d72a085d9e6ab1f49ba06f7_4cf99b8bb20ec087d965d19296662c9e.jpg) f(s) =In s/squarootS Find and classify all the singular.
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