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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5.          Let V(x, y, z) = Rx2 + 10y2 + 10(z – 2R)2. Note that V(x, y, z) = c defines an ellipsoid centered at (0, 0, 2R) 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.