Let w be the number of worms (in millions) and r the number of robins (in thousands)

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Let w be the number of worms (in millions) and r the number of robins (in thousands) living on an island. Suppose w and r satisfy the following differential equations, which correspond to the slope field in Figure 9.44.

For the case discussed in Problem12, estimate the maximum and the minimum values of the robin population. How many worms are there at the time when the robin population reaches its maximum?

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Applied Calculus

ISBN: 9781119275565

6th Edition

Authors: Deborah Hughes Hallett, Patti Frazer Lock, Andrew M. Gleason, Daniel E. Flath, Sheldon P. Gordon, David O. Lomen, David Lovelock, William G. McCallum, Brad G. Osgood, Andrew Pasquale

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Question Posted: Apr 10, 2023 04:15 AM

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Let w be the number of worms (in millions) and r the number of robins (in thousands)

Question:

3 dw dt r (predator) 4 = w-wr, 1 11/ 117 11/ 1/ 1 1/2 1/// 21/ 117 117 17 | |/\| dr dt V 1 1 1 1 1 1 1 1 1 || = -r+wr. / / / / / / / / / / / 1 ///// 1 2 Figure 9.44: dr. dw 3 r(W-1) w(1-r) w (prey)

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Applied Calculus

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