A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12t 14 ft/sec 15 ft Not drawn to scale (a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed (in ft/sec) of the boat when there is 15 feet of rope out. ft/sec What happens to the speed of the boat as it gets closer to the dock? as it approaches the dock. te of 4 feet per second. Determine the speed (in ft/sec) at which the winch pulls in rope The speed of the boat --Select-- -Select-- approaches 0 decreases (b) Suppose the boat is m when there is a total o ft/sec increases approaches -4 ft/sec approaches 4 ft/sec. What happens to the s remains the same The speed at which the winch pulls in rope ich pulls in rope as the boat gets closer to the dock? --Select--

Calculus: Early Transcendentals
8th Edition
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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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A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.
12t
114 ft/sec
15 ft
Not drawn to scale
i
(a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed (in ft/sec) of the boat when there is 15 feet of rope out.
ft/sec
What happens to the speed of the boat as it gets closer to the dock?
The speed of the boat --Select---
as it approaches the dock.
--Select-
approaches 0
decreases
te of 4 feet per second. Determine the speed (in ft/sec) at which the winch pulls in rope
(b) Suppose the boat is m
when there is a total of
ft/sec
increases
approaches - 4 ft/sec
approaches 4 ft/sec
What happens to the s remains the same.
The speed at which the winch pulls in rope
ich pulls in rope as the boat gets closer to the dock?
--Select---
Transcribed Image Text:A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12t 114 ft/sec 15 ft Not drawn to scale i (a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed (in ft/sec) of the boat when there is 15 feet of rope out. ft/sec What happens to the speed of the boat as it gets closer to the dock? The speed of the boat --Select--- as it approaches the dock. --Select- approaches 0 decreases te of 4 feet per second. Determine the speed (in ft/sec) at which the winch pulls in rope (b) Suppose the boat is m when there is a total of ft/sec increases approaches - 4 ft/sec approaches 4 ft/sec What happens to the s remains the same. The speed at which the winch pulls in rope ich pulls in rope as the boat gets closer to the dock? --Select---
A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.
12ft
114 ft/sec
15 ft
Not drawn to scale
(a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed (in ft/sec) of the boat when there is 15 feet of rope out.
ft/sec
What happens to the speed of the boat as it gets closer to the dock?
The speed of the boat ---Select---
as it approaches the dock.
(b) Suppose the boat is moving at a constant rate of 4 feet per second. Determine the speed (in ft/sec) at which the winch pulls in rope
when there is a total of 15 feet of rope out.
ft/sec
Need Help?
What happens to the speed at which the winch pulls in rope as the boat gets closer to the dock?
The speed at which the winch pulls in rope
-Select---
-Select---
remains the same
approaches -4 ft/sec
approaches 4 ft/sec
approaches 0
increases
Read It
Transcribed Image Text:A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12ft 114 ft/sec 15 ft Not drawn to scale (a) The winch pulls in rope at a rate of 4 feet per second. Determine the speed (in ft/sec) of the boat when there is 15 feet of rope out. ft/sec What happens to the speed of the boat as it gets closer to the dock? The speed of the boat ---Select--- as it approaches the dock. (b) Suppose the boat is moving at a constant rate of 4 feet per second. Determine the speed (in ft/sec) at which the winch pulls in rope when there is a total of 15 feet of rope out. ft/sec Need Help? What happens to the speed at which the winch pulls in rope as the boat gets closer to the dock? The speed at which the winch pulls in rope -Select--- -Select--- remains the same approaches -4 ft/sec approaches 4 ft/sec approaches 0 increases Read It
Expert Solution
Step 1: given

Given:

A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat.

Let x be the distance between the boat and the dock.

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