wo sailboats are sailing away from an island. Sailboat A is sailing North at 7 miles per hour and sailboat B is sailing East at 4 miles per hour. How fast is the distance between two sailboats increasing when sailboat A is 6 miles from the island and sailboat B is 5 miles from the island? Show you work and include diagram?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Two sailboats are sailing away from an island. Sailboat A is sailing North at 7 miles per hour and sailboat B is sailing East at 4 miles per hour. How fast is the distance between two sailboats increasing when sailboat A is 6 miles from the island and sailboat B is 5 miles from the island? Show you work and include diagram?

 

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Calculus homework question answer, step 1, image 1

The triangle forms a right angle triangle. 

we apply pythagorean theorem 

c2=x2+y2Hypotenuse is the distance dd2=x2+y2

we need to find out how fast the distance is increasing . d(d)/dt

Now take derivative with respect to d

 

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