2nd Edition

ISBN: 9780321964038

Author: GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher: Pearson Addison Wesley,

Concept explainers

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter 6.2, Problem 2YT

YOUR TURN Suppose the animal in Example 2 can run only 40 m per minute through the woods. Find the path that will get it to the spring in the minimum time.

EXAMPLE 2 Minimizing Time

A thirsty animal wants to get to a spring as soon as possible. It can get to the spring by travelling east along a clear path for 300 meters, and then north through the woods for 800 meters. The animal can run 160 meters per minute along the clear path, but only 70 meters per minute through the woods. Running directly through the woods towards the spring minimizes the distance, but the animal will be going slowly the whole time. It could instead run 300 meters along the clear path before entering the woods, maximizing the total distance but minimizing the time in the woods. Perhaps the fastest route is the combination, as shown in Figure 7. Find the path that will get the animal to the spring in the minimum time. (Although it may seem odd for an animal to follow the path given by calculus, a mathematician has shown that a dog chasing a ball does exactly that. Source: The College Math Journal.)

Chapter 6.2, Problem 2YT, YOUR TURN Suppose the animal in Example 2 can run only 40 m per minute through the woods. Find the

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Chapter 6.2, Problem 1YT

Chapter 6.2, Problem 3YT

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Chapter 6 Solutions

Calculus For The Life Sciences

Ch. 6.1 - YOUR TURN Find the absolute extrema of the...Ch. 6.1 - Prob. 2YT Ch. 6.1 - EXERCISES Find the locations of any absolute...Ch. 6.1 - EXERCISES Find the locations of any absolute...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - EXERCISES Find the locations of any absolute...Ch. 6.1 - EXERCISES Find the locations of any absolute...Ch. 6.1 - Prob. 8E

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Solution Summary: The author explains how the animal can get to the spring by traveling east along a clear path for 300meters, and then north through the wood.

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