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Hello, please I need help with this: Marine biologists have determined that when a shark detects the presence of blood in the water, it will
Hello, please I need help with this: 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 P(x,y) on the surface of seawater is approximated* by
C(x,y)=e(x2+2y2)/104
where x and y are measured in meters in a rectangular coordinate system with the blood source at the origin.
- Identify the level curves (that is rewrite the formulae and recognize the geometric shapes associated with the equations obtained) of the concentration function and sketch several members of this family together with a path that a shark will follow to the source
- Suppose a shark is at the point (50,30)when it first detects the presence of blood in the water. Find an equation of the shark's path by setting up and solving a differential equation. please I need help with this, plus the explanation along side the solving, thank you.
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