Marine biologists have determined that when a shark detects the presence of bloo

Question

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 certain tests, the concentration of blood (in parts per million) at a point Psx, yd on the surface of seawater is approximated by

Csx, yd e2sx212y2dy104

where x and y are measured in meters in a rectangular coordinate system with the blood source at the origin.

(a) Identify the level curves of the concentration function and sketch several members of

this family together with a path that a shark will follow to the source.

(b) Suppose a shark is at the point sx0, y0d when it rst detects the presence of blood in

the water. Find an equation of the shark’s path by setting up and solving a differential equation.

Explanation / Answer

I see this written :

Csx, yd e2sx212y2dy104

What is this? Can u make this clear? And then I'll go about solving it.

Cheers!

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