Falak Kinney

2021-08-18

To find: The exact location of the ship tracked by the tracking system.

comentezq

Skilled2021-08-19Added 106 answers

Procedure used:

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."

Calculation:

It is given that the ship lies on a path described by

Use the above procedure to find the exact location of the ship.

Multiply

Add the both equations and obtain the result as follows.

Substitute

Substitute

Thus, for

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).

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