Question

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 11.76 $$\frac{d w}{d t}=w-w r, \quad \frac{d r}{d t}=-r+w r$$ (FIGURE CAN'T COPY). For the case discussed in Problem $9,$ estimate the maximum and minimum values of the robin population. Estimate the number of worms when the robin population reaches its minimum.

          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 11.76 $$\frac{d w}{d t}=w-w r, \quad \frac{d r}{d t}=-r+w r$$ (FIGURE CAN'T COPY).
For the case discussed in Problem $9,$ estimate the maximum and minimum values of the robin population. Estimate the number of worms when the robin population reaches its minimum.
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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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 11.76 $$frac{d w}{d t}=w-w r, quad frac{d r}{d t}=-r+w r$$ For the case discussed in Problem 9, estimate the maximum and minimum values of the robin population. Estimate the number of worms when the robin population reaches its minimum.
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Transcript

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00:01 Estimate the max and min values of the robin population.
00:07 So let w be our number of worms and r is a number of robins.
00:12 And we have these two differential equations which correspond to the slope in our figure.
00:18 Let's say that our figure looks something like this.
00:22 We have some sort of behavior in this direction and also looks like a square.
00:32 Now, if w is a square...
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