Answered: Let U = (−∞, ∞) be the universal set…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let ai = [250] -10 and a2 = h [4] The set {a1, a2} will span R² unless h = (If there are no values of h that make the set fail to span, enter "NONE". If the set fails to span for all values of h enter "ALL".)
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Here is a fish-population model incorporating the effects of fish not finding mates if the population is too small, the death rate going up as the population increases, and of the population being harvested with "effort" e: dP — Р (1- Р) (2Р — 1) — еР dt The parameter e, which might for example represent the number of boats allowed in the fishing fleet, is to be considered constant in time, but we'll be interested in various values for that constant. (la) Sketch the phase line for the system when there is no harvesting: effort e = 0, Use the following notation. If the phase line you would draw by hand looked like this: -2 you would enter "> -2 ", using > to mean increasing, and < to mean decreasing. If the equation had no critical points and solutions were decreasing everywhere, you would enter just "<". (1b) Describe the equilibria you have found in part (la) as stable (s) or unstable (u). Enter a comma-separated list of 's's and 'u's in the order corresponding to your answer in (la).

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Let U = (−∞, ∞) be the universal set and M = (−6, 5] and W = (−3, 9]. In interval notation, determine the following. 1. M ∪ W 2. M ∩ W 3. M − W 4. W − M