A model for a fish population with harvesting is P' = kP(M – P) – h where M = 1000, k = 8 · 10-³, h = 15, and time t is measured in weeks. 1. Draw the slope field in the domain 0

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A model for a fish population with harvesting is
P' = kP(M – P) – h
where M:
= 1000, k = 8·10¬, h = 15, and timet
is measured in weeks.
1. Draw the slope field in the domain
0 <t< 40, 0 < P < 1000. From this diagram
deduce what happens to fish populations with various
starting values in the interval0 < P(0) < 1000.
). Solve the initial value problem for P(0) = 200.
Transcribed Image Text:A model for a fish population with harvesting is P' = kP(M – P) – h where M: = 1000, k = 8·10¬, h = 15, and timet is measured in weeks. 1. Draw the slope field in the domain 0 <t< 40, 0 < P < 1000. From this diagram deduce what happens to fish populations with various starting values in the interval0 < P(0) < 1000. ). Solve the initial value problem for P(0) = 200.
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