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(See Steps) As shown in the accompanying figure, suppose that a boat enters the river at the point (1,0) and maintains a heading toward the origin. As a

Question: As shown in the accompanying figure, suppose that a boat enters the river at the point $(1,0)$ and maintains a heading toward the origin. As a result of the strong current, the boat follows the path

\[y=\frac{x^{10 / 3}-1}{2 x^{2 / 3}}\]

where $x$ and $y$ are in miles.

Graph the path taken by the boat.
Can the boat reach the origin? If not, discuss its fate and find how close it comes to the origin.

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(See Steps) As shown in the accompanying figure, suppose that a boat enters the river at the point (1,0) and maintains a heading toward the origin. As a

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