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A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water level (see figure). Let be the angle of elevation of the winch and let be the length of the cable as the boat is towed toward the dock. de 1. As the boat is pulled in, is increasing or decreasing? What is the sign of dl 3. Show that 2. Use an inverse trigonometric function to set up a relationship between 0 and l. de dl 10 ft 10 √²-100 Algebra is fun!? and why?

A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water level (see figure). Let be the angle of elevation of the winch and let be the length of the cable as the boat is towed toward the dock. de 1. As the boat is pulled in, is increasing or decreasing? What is the sign of dl 3. Show that 2. Use an inverse trigonometric function to set up a relationship between 0 and l. de dl 10 ft 10 √²-100 Algebra is fun!? and why?

Calculus: Early Transcendentals
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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A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water level (see figure). Let be the angle of elevation of the winch and let be the length of the cable as the boat is towed toward the dock. 1. As the boat is pulled in, is increasing or decreasing? What is the sign of and why? de de 2. Use an inverse trigonometric function to set up a relationship between 0 and l. 3. Show that de dl 10 ft 10 √²-100 Algebra is fun!? 4. For > 0, the answer to 3. is negative. That should agree with your answer to 1. Does it? If not, rethink question 1!
Transcribed Image Text:A boat is towed toward a dock by a cable attached to a winch that stands 10 feet above the water level (see figure). Let be the angle of elevation of the winch and let be the length of the cable as the boat is towed toward the dock. 1. As the boat is pulled in, is increasing or decreasing? What is the sign of and why? de de 2. Use an inverse trigonometric function to set up a relationship between 0 and l. 3. Show that de dl 10 ft 10 √²-100 Algebra is fun!? 4. For > 0, the answer to 3. is negative. That should agree with your answer to 1. Does it? If not, rethink question 1!
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