Chapter 2.8, Problem 22E
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Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Solutions
Chapter
Section
BuyFindarrow_forward
Calculus (MindTap Course List)
8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 8 m from the dock?
To determine
To find:
How fast the boat is approaching the dock when it is 8 m from the dock.
Explanation
1. Concept:
We can plot the figure from the given situation, and it looks like a right angle triangle.
Let x be distance of the boat from the dock.
2. Formula:
i. Pythagorean Theorem:
ii. Power rule of differentiation:
 iii. Chain rule of differentiation:
3. Given:
4
Chapter 2 Solutions
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Determining if a Function Is Homogeneous In Exercises 69-76, determine whether the function is homogeneous. and...
Calculus (MindTap Course List)
A single die is rolled once. a.Find the probability of rolling a 5. b.Find the probability of rolling a 5 given...
Mathematics: A Practical Odyssey
Consider the typing speed distribution described in the previous exercise. Would you be surprised to find a typ...
Introduction To Statistics And Data Analysis
The probability distribution for damage claims paid by the Newton Automobile InsuranceCompany on collision insu...
Statistics for Business & Economics, Revised (MindTap Course List)
Under what circumstances is a changing-criterion design an appropriate method for evaluating the effectiveness ...
Research Methods for the Behavioral Sciences (MindTap Course List)
Dr. Jones conducted a study examining the relationship between the amount of sugar in a childs diet and the act...
Research Methods for the Behavioral Sciences (MindTap Course List)
Simple random sampling was used to obtain a sample of n = 80 elements from a population of N = 400. The sample ...
STATISTICS F/BUSINESS+ECONOMICS-TEXT
Self Check Which graphs represent functions?
College Algebra (MindTap Course List)
Find the reciprocal of each of the fractions in Exercises 7 through 12. 12. 327
Mathematics For Machine Technology
