7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutions per minute, how fast does the beam sweep along the shore at a point 4800 feet from the nearest point?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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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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7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2
revolutions per minute, how fast does the beam sweep along the shore at a point 4800 feet
from the nearest point?
8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails
east at 25 miles per hour for 1 hour and then turns north. Find the rate of rotation of the line
joining them after 3 hours.
9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].
Transcribed Image Text:7. A revolving beacon is situated 3600 feet off a straight shore. If the beacon turns at 2 revolutions per minute, how fast does the beam sweep along the shore at a point 4800 feet from the nearest point? 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails east at 25 miles per hour for 1 hour and then turns north. Find the rate of rotation of the line joining them after 3 hours. 9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].
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