Marine biologists have determined that when a shark detects the presence of blood in the water, it will swim in the direction in which the concentration of the blood increases most rapidly. Based on tests conducted by the biologists, the concentration of blood (in parts per million) at a point P(x,y,z) on the surface of sea water is approximated by

The concentration of blood at a point P(x,y,z) on the surface of sea water is approximated by the distance from the source where the blood moves. Point x is the place where the concentration of the blood is the highest because at this point the source of blood present.

At point y, the concentration of the blood is lower as compared to point x but higher than point z, while on the other hand, at point z the concentration of blood is the lowest due to its presence farther from the source so we can conclude that blood concentration is approximated by the distance from the source.

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