An Application of a Nonlinear System:
"Step 1: Write a system of equations modeling the conditions in the problem.
Step 2: Solve the system and answer the question asked in the problem.
Step 3: Check the proposed solution in the original wording of the problem."
It is given that the ship lies on a path described by
Use the above procedure to find the exact location of the ship.
Add the both equations and obtain the result as follows.
Thus, the solution set is
However, the ship is located in the first quadrant of the coordinate system.
Hence, the point is (1,1).
Check the result, by substituting the obtained solutions in the given original equations
Substitute (1,1) in the given system and check.
Therefore, the exact location of the ship is (1,1).
Tell whether the function represents exponential growth or decay.