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Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343

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BuyFindarrow_forward

Single Variable Calculus: Early Tr...

8th Edition
James Stewart
ISBN: 9781305270343
Textbook Problem

(a) What quantities are given in the problem?

(b) What is the unknown?

(c) Draw a picture of the situation for any time 1.

(d) Write an equation that relates the quantities.

(e) Finish solving the problem.

At noon, ship A is 150 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 25 kin/h. How fast is the distance between the ships changing at 4:00 PM?

(a)

To determine

To find: The quantities in the given problem.

Explanation

Given that at the afternoon the ship A is 150 km west of the ship B; the ship A is sailing East at 35km/h and the ship B is sailing North at 25km/h.

Let time t (in hour) and x is the distance traveled by ship A

(b)

To determine

To find: The unknown.

(c)

To determine

To draw: The picture of the plane the position of the ships at 4 pm.

(d)

To determine

To write: The equation that relates the quantities.

(e)

To determine

To find: How fast is the distance between the ships changes at 4:00 pm.

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