# 4. Given the results of the problem above, what can you say about solutions when R < 1? 5. Let...

4. Given the results of the problem above, what can you say about solutions when *R * 1?

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4. Given the results of the problem above, what can you say about solutions when R < 1? 5. Let...

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5. Let *V*(*x*, *y*, *z*) = *Rx*2 + 10*y*2 + 10(*z *– 2*R*)2. Note that *V*(*x*, *y*, *z*) = *c *defines an ellipsoid centered at (0, 0, 2*R*) in 3-dimensional space. Show that we may choose *c *large enough so that *V *is decreasing along any solution curve that starts outside the ellipsoid given by *V*(*x*, *y*, *z*) = *c*.