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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2, Problem 13P

To determine

**To find:** The function that models the distance

Expert Solution

The function that models distance between ships in terms of time (in hours) is

**Given:**

Speed of ship sailing south is

Speed of ship sailing east is

**Calculation:**

Draw the Figure (1) as shown below after time *t* since departure of ships.

Figure (1)

In Figure (1)

Calculate distance

And,

Apply Pythagorean theorem in triangle

Substitute

Factor

Take square root of above equation.

Thus, function that models distance between ships in terms of time (in hours) is