Algebra and Trigonometry
Algebra and Trigonometry
4th Edition
ISBN: 9781305719781
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: PEARSON
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Concept explainers

Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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Chapter P.3, Problem 53E

APPLICATIONS

Number of Molecules A sealed room in a hospital, measuring 5 m wide, 10 m long, and 3 m high, is filled with pure oxygen. One cubic meter contains 1000 L, and 22.4 L of any gas contains 6.02 × 10 23 molecules (Avogadro’s number). How many molecule of oxygen are there in the room?

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Chapter P Solutions

Algebra and Trigonometry

Ch. P.1 - The model L=4S gives the total number of legs that...Ch. P.1 - Prob. 2ECh. P.1 - Prob. 3ECh. P.1 - Prob. 4ECh. P.1 - Prob. 5ECh. P.1 - Prob. 6ECh. P.1 - Prob. 7ECh. P.1 - 3-12 Using Models Use the model given to answer...Ch. P.1 - Prob. 9ECh. P.1 - Prob. 10E
Ch. P.1 - 3-12 Using Models Use the model given to answer...Ch. P.1 - Prob. 12ECh. P.1 - Prob. 13ECh. P.1 - Prob. 14ECh. P.1 - Prob. 15ECh. P.1 - Prob. 16ECh. P.1 - Prob. 17ECh. P.1 - Prob. 18ECh. P.1 - Cost of a Pizza A pizza parlor charges 12 for a...Ch. P.1 - Prob. 20ECh. P.1 - Prob. 21ECh. P.1 - Volume of Fruit Crate A fruit crate has square...Ch. P.1 - Grade Point Average In many universities students...Ch. P.2 - CONCEPTS Give an example of each of the following:...Ch. P.2 - Prob. 2ECh. P.2 - Prob. 3ECh. P.2 - CONCEPTS The symbol |x| stands for the _____ of...Ch. P.2 - CONCEPTS The distance between a and b on the real...Ch. P.2 - Prob. 6ECh. P.2 - 6-8 Yes or No? If No, give a reason. Assume that a...Ch. P.2 - Prob. 8ECh. P.2 - Prob. 9ECh. P.2 - Prob. 10ECh. P.2 - Prob. 11ECh. P.2 - Prob. 12ECh. P.2 - Prob. 13ECh. P.2 - Prob. 14ECh. P.2 - Prob. 15ECh. P.2 - Prob. 16ECh. P.2 - Prob. 17ECh. P.2 - Prob. 18ECh. P.2 - Prob. 19ECh. P.2 - Prob. 20ECh. P.2 - Prob. 21ECh. 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P.2 - Prob. 74ECh. P.2 - Prob. 75ECh. P.2 - Prob. 76ECh. P.2 - Prob. 77ECh. P.2 - Prob. 78ECh. P.2 - Prob. 79ECh. P.2 - Prob. 80ECh. P.2 - Prob. 81ECh. P.2 - Prob. 82ECh. P.2 - Prob. 83ECh. P.2 - Prob. 84ECh. P.2 - Prob. 85ECh. P.2 - APPLICATIONS Temperature Variation The bar graph...Ch. P.2 - Prob. 87ECh. P.2 - Prob. 88ECh. P.2 - Prob. 89ECh. P.2 - Prob. 90ECh. P.2 - Prob. 91ECh. P.2 - Prob. 92ECh. P.2 - Prob. 93ECh. P.2 - Prob. 94ECh. P.3 - CONCEPTS Using exponential notation, we can write...Ch. P.3 - Prob. 2ECh. P.3 - Prob. 3ECh. P.3 - CONCEPTS When we multiply two powers with the same...Ch. P.3 - Prob. 5ECh. P.3 - Prob. 6ECh. P.3 - Prob. 7ECh. P.3 - CONCEPTS Scientists express very large or very...Ch. P.3 - Prob. 9ECh. P.3 - Prob. 10ECh. P.3 - Prob. 11ECh. P.3 - Prob. 12ECh. P.3 - Prob. 13ECh. P.3 - Prob. 14ECh. P.3 - Prob. 15ECh. P.3 - Prob. 16ECh. P.3 - Prob. 17ECh. P.3 - Prob. 18ECh. P.3 - Prob. 19ECh. P.3 - Prob. 20ECh. P.3 - Prob. 21ECh. P.3 - Prob. 22ECh. P.3 - Prob. 23ECh. 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P.5 - CONCEPTS The Special Product Formula for the...Ch. P.5 - Prob. 7ECh. P.5 - Prob. 8ECh. P.5 - Prob. 9ECh. P.5 - Prob. 10ECh. P.5 - Prob. 11ECh. P.5 - Prob. 12ECh. P.5 - Prob. 13ECh. P.5 - Prob. 14ECh. P.5 - Prob. 15ECh. P.5 - Prob. 16ECh. P.5 - Prob. 17ECh. P.5 - Prob. 18ECh. P.5 - Prob. 19ECh. P.5 - Prob. 20ECh. P.5 - Prob. 21ECh. P.5 - Prob. 22ECh. P.5 - Prob. 23ECh. P.5 - Prob. 24ECh. P.5 - Prob. 25ECh. P.5 - Prob. 26ECh. P.5 - Prob. 27ECh. P.5 - Prob. 28ECh. P.5 - Prob. 29ECh. P.5 - Prob. 30ECh. P.5 - Prob. 31ECh. P.5 - Prob. 32ECh. P.5 - Prob. 33ECh. P.5 - Prob. 34ECh. P.5 - Prob. 35ECh. P.5 - Prob. 36ECh. P.5 - Prob. 37ECh. P.5 - Prob. 38ECh. P.5 - Prob. 39ECh. P.5 - Prob. 40ECh. P.5 - Prob. 41ECh. P.5 - Prob. 42ECh. P.5 - Prob. 43ECh. P.5 - Prob. 44ECh. P.5 - Prob. 45ECh. P.5 - Prob. 46ECh. P.5 - Prob. 47ECh. P.5 - Prob. 48ECh. P.5 - Prob. 49ECh. P.5 - Prob. 50ECh. P.5 - Prob. 51ECh. P.5 - Prob. 52ECh. P.5 - Prob. 53ECh. P.5 - Prob. 54ECh. P.5 - Prob. 55ECh. 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P.6 - The Special Factoring Formula for the differecne...Ch. P.6 - Prob. 6ECh. P.6 - Prob. 7ECh. P.6 - Prob. 8ECh. P.6 - Prob. 9ECh. P.6 - Prob. 10ECh. P.6 - Prob. 11ECh. P.6 - Prob. 12ECh. P.6 - Prob. 13ECh. P.6 - Prob. 14ECh. P.6 - Prob. 15ECh. P.6 - Prob. 16ECh. P.6 - Prob. 17ECh. P.6 - Prob. 18ECh. P.6 - Prob. 19ECh. P.6 - Prob. 20ECh. P.6 - Prob. 21ECh. P.6 - Prob. 22ECh. P.6 - Prob. 23ECh. P.6 - Prob. 24ECh. P.6 - Prob. 25ECh. P.6 - Prob. 26ECh. P.6 - Prob. 27ECh. P.6 - Prob. 28ECh. P.6 - Prob. 29ECh. P.6 - Prob. 30ECh. P.6 - Prob. 31ECh. P.6 - Prob. 32ECh. P.6 - Prob. 33ECh. P.6 - Prob. 34ECh. P.6 - Prob. 35ECh. P.6 - Prob. 36ECh. P.6 - Prob. 37ECh. P.6 - Prob. 38ECh. P.6 - Prob. 39ECh. P.6 - Prob. 40ECh. P.6 - Prob. 41ECh. P.6 - Prob. 42ECh. P.6 - Prob. 43ECh. P.6 - Prob. 44ECh. P.6 - Prob. 45ECh. P.6 - Prob. 46ECh. P.6 - Prob. 47ECh. P.6 - Prob. 48ECh. P.6 - Prob. 49ECh. P.6 - Prob. 50ECh. P.6 - Prob. 51ECh. P.6 - Prob. 52ECh. P.6 - Prob. 53ECh. P.6 - Prob. 54ECh. 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P.8 - Prob. 35ECh. P.8 - Prob. 36ECh. P.8 - Prob. 37ECh. P.8 - Prob. 38ECh. P.8 - Prob. 39ECh. P.8 - Prob. 40ECh. P.8 - Prob. 41ECh. P.8 - Prob. 42ECh. P.8 - Prob. 43ECh. P.8 - 41-54 Equations Involving Fractional Expressions...Ch. P.8 - Prob. 45ECh. P.8 - Prob. 46ECh. P.8 - Prob. 47ECh. P.8 - Prob. 48ECh. P.8 - 41-54 Equations Involving Fractional Expressions...Ch. P.8 - Prob. 50ECh. P.8 - Prob. 51ECh. P.8 - Prob. 52ECh. P.8 - Prob. 53ECh. P.8 - Prob. 54ECh. P.8 - Prob. 55ECh. P.8 - Prob. 56ECh. P.8 - Prob. 57ECh. P.8 - Prob. 58ECh. P.8 - Prob. 59ECh. P.8 - Prob. 60ECh. P.8 - Prob. 61ECh. P.8 - Prob. 62ECh. P.8 - Prob. 63ECh. P.8 - Prob. 64ECh. P.8 - Prob. 65ECh. P.8 - Prob. 66ECh. P.8 - Prob. 67ECh. P.8 - Prob. 68ECh. P.8 - Prob. 69ECh. P.8 - Prob. 70ECh. P.8 - Prob. 71ECh. P.8 - Prob. 72ECh. P.8 - Prob. 73ECh. P.8 - Prob. 74ECh. P.8 - Prob. 75ECh. P.8 - Prob. 76ECh. P.8 - Prob. 77ECh. P.8 - Prob. 78ECh. P.8 - Prob. 79ECh. P.8 - Prob. 80ECh. P.8 - Prob. 81ECh. P.8 - Prob. 82ECh. P.8 - Prob. 83ECh. P.8 - Prob. 84ECh. P.8 - Prob. 85ECh. P.8 - Prob. 86ECh. P.8 - Prob. 87ECh. P.8 - Prob. 88ECh. P.8 - Prob. 89ECh. P.8 - Prob. 90ECh. P.8 - Prob. 91ECh. P.8 - Prob. 92ECh. P.8 - Prob. 93ECh. P.8 - Prob. 94ECh. P.8 - Prob. 95ECh. P.8 - Prob. 96ECh. P.8 - Prob. 97ECh. P.8 - 87-100 Solving for a Variable Solve the equation...Ch. P.8 - Prob. 99ECh. P.8 - Prob. 100ECh. P.8 - Shrinkage in Concrete Beams As concrete dries, it...Ch. P.8 - Prob. 102ECh. P.8 - Prob. 103ECh. P.8 - Food Consumption The average daily food...Ch. P.8 - Prob. 105ECh. P.8 - DISCUSS: Proof That 0 = 1? The following steps...Ch. P.9 - Prob. 1ECh. P.9 - Prob. 2ECh. P.9 - Prob. 3ECh. P.9 - Prob. 4ECh. P.9 - Prob. 5ECh. P.9 - Prob. 6ECh. P.9 - Prob. 7ECh. P.9 - Prob. 8ECh. P.9 - Prob. 9ECh. P.9 - Prob. 10ECh. P.9 - Prob. 11ECh. P.9 - Prob. 12ECh. P.9 - Prob. 13ECh. P.9 - Prob. 14ECh. P.9 - Prob. 15ECh. P.9 - Prob. 16ECh. P.9 - Prob. 17ECh. P.9 - Prob. 18ECh. P.9 - SKILLS 7-20 Using Variables Express the given...Ch. P.9 - Prob. 20ECh. P.9 - Prob. 21ECh. P.9 - APPLICATIONS Cell Phone Costs A cell phone company...Ch. P.9 - APPLICATIONS Average Linh has obtained scores of...Ch. P.9 - Prob. 24ECh. P.9 - Prob. 25ECh. P.9 - Prob. 26ECh. P.9 - Prob. 27ECh. P.9 - Prob. 28ECh. P.9 - Prob. 29ECh. P.9 - Prob. 30ECh. P.9 - Prob. 31ECh. P.9 - APPLICATIONS Labor Costs A plumber and his...Ch. P.9 - Prob. 33ECh. P.9 - Prob. 34ECh. P.9 - Prob. 35ECh. P.9 - Prob. 36ECh. P.9 - Prob. 37ECh. P.9 - Prob. 38ECh. P.9 - Prob. 39ECh. P.9 - Prob. 40ECh. P.9 - APPLICATIONS Geometry Find the length y in the...Ch. P.9 - APPLICATIONS Geometry Find the length x in the...Ch. P.9 - Prob. 43ECh. P.9 - Prob. 44ECh. P.9 - Prob. 45ECh. P.9 - APPLICATIONS Height of Tree A woodcutter...Ch. P.9 - Prob. 47ECh. P.9 - Prob. 48ECh. P.9 - Prob. 49ECh. P.9 - Prob. 50ECh. P.9 - Prob. 51ECh. P.9 - APPLICATIONS Mixture Problem A health clinic uses...Ch. P.9 - APPLICATIONS Mixture Problem A bottle contains...Ch. P.9 - Prob. 54ECh. P.9 - Prob. 55ECh. P.9 - Prob. 56ECh. P.9 - APPLICATIONS Sharing a Job Betty and Karen have...Ch. P.9 - APPLICATIONS Sharing a Job Next-door neighbours...Ch. P.9 - Prob. 59ECh. P.9 - Prob. 60ECh. P.9 - Prob. 61ECh. P.9 - Prob. 62ECh. P.9 - APPLICATIONS Law of the Lever The figure shows a...Ch. P.9 - APPLICATIONS Law of the Lever A plank 30 ft long...Ch. P.9 - Prob. 65ECh. P.9 - Prob. 66ECh. P.9 - APPLICATIONS Dimensions of a Structure A storage...Ch. P.9 - APPLICATIONS An Ancient Chinese Problem This...Ch. P.9 - Prob. 69ECh. P.9 - Prob. 70ECh. P.CR - Prob. 1CCCh. P.CR - Prob. 2CCCh. P.CR - Prob. 3CCCh. P.CR - Prob. 4CCCh. P.CR - Prob. 5CCCh. P.CR - Prob. 6CCCh. P.CR - Prob. 7CCCh. P.CR - Prob. 8CCCh. P.CR - Prob. 9CCCh. P.CR - Prob. 10CCCh. P.CR - Prob. 11CCCh. P.CR - Prob. 12CCCh. P.CR - Prob. 13CCCh. P.CR - Prob. 14CCCh. P.CR - Prob. 15CCCh. P.CR - Prob. 16CCCh. P.CR - Prob. 17CCCh. P.CR - Prob. 18CCCh. P.CR - Prob. 19CCCh. P.CR - Prob. 1ECh. P.CR - Prob. 2ECh. P.CR - Prob. 3ECh. P.CR - Prob. 4ECh. P.CR - Prob. 5ECh. P.CR - Prob. 6ECh. P.CR - Prob. 7ECh. P.CR - Prob. 8ECh. P.CR - Prob. 9ECh. P.CR - Prob. 10ECh. P.CR - Prob. 11ECh. P.CR - Prob. 12ECh. P.CR - Prob. 13ECh. P.CR - Prob. 14ECh. P.CR - Prob. 15ECh. P.CR - Prob. 16ECh. P.CR - Prob. 17ECh. P.CR - Prob. 18ECh. P.CR - Prob. 19ECh. P.CR - Prob. 20ECh. P.CR - Prob. 21ECh. P.CR - Prob. 22ECh. P.CR - Prob. 23ECh. P.CR - Prob. 24ECh. P.CR - Prob. 25ECh. P.CR - Prob. 26ECh. P.CR - Prob. 27ECh. P.CR - Prob. 28ECh. P.CR - Prob. 29ECh. P.CR - Prob. 30ECh. P.CR - Prob. 31ECh. P.CR - Prob. 32ECh. P.CR - Prob. 33ECh. P.CR - Prob. 34ECh. P.CR - Prob. 35ECh. P.CR - Prob. 36ECh. P.CR - Prob. 37ECh. P.CR - Prob. 38ECh. P.CR - Prob. 39ECh. P.CR - Prob. 40ECh. P.CR - Prob. 41ECh. P.CR - Prob. 42ECh. P.CR - Prob. 43ECh. P.CR - Prob. 44ECh. P.CR - Prob. 45ECh. P.CR - Prob. 46ECh. P.CR - Prob. 47ECh. P.CR - Prob. 48ECh. P.CR - Prob. 49ECh. P.CR - Prob. 50ECh. P.CR - Prob. 51ECh. P.CR - Prob. 52ECh. P.CR - Prob. 53ECh. P.CR - Prob. 54ECh. P.CR - Prob. 55ECh. P.CR - Prob. 56ECh. P.CR - Prob. 57ECh. P.CR - Prob. 58ECh. P.CR - Prob. 59ECh. P.CR - Prob. 60ECh. P.CR - Prob. 61ECh. P.CR - Prob. 62ECh. P.CR - Prob. 63ECh. P.CR - Prob. 64ECh. P.CR - Prob. 65ECh. P.CR - Prob. 66ECh. P.CR - Prob. 67ECh. P.CR - Prob. 68ECh. P.CR - Prob. 69ECh. P.CR - Prob. 70ECh. P.CR - Prob. 71ECh. P.CR - Prob. 72ECh. P.CR - Prob. 73ECh. P.CR - Prob. 74ECh. P.CR - Prob. 75ECh. P.CR - Prob. 76ECh. P.CR - Prob. 77ECh. P.CR - Prob. 78ECh. P.CR - Prob. 79ECh. P.CR - Prob. 80ECh. P.CR - Prob. 81ECh. P.CR - Prob. 82ECh. P.CR - Prob. 83ECh. P.CR - Prob. 84ECh. P.CR - Prob. 85ECh. P.CR - Prob. 86ECh. P.CR - Prob. 87ECh. P.CR - Prob. 88ECh. P.CR - Prob. 89ECh. P.CR - Prob. 90ECh. P.CR - Prob. 91ECh. P.CR - Prob. 92ECh. P.CR - Prob. 93ECh. P.CR - Prob. 94ECh. P.CR - Prob. 95ECh. P.CR - Prob. 96ECh. P.CR - Prob. 97ECh. P.CR - Prob. 98ECh. P.CR - Prob. 99ECh. P.CR - Prob. 100ECh. P.CR - Prob. 101ECh. P.CR - Prob. 102ECh. P.CR - Prob. 103ECh. P.CR - Prob. 104ECh. P.CR - Prob. 105ECh. P.CR - Prob. 106ECh. P.CR - Prob. 107ECh. P.CR - Prob. 108ECh. P.CR - Prob. 109ECh. P.CR - Prob. 110ECh. P.CR - Prob. 111ECh. P.CR - Prob. 112ECh. P.CR - Prob. 113ECh. P.CR - Prob. 114ECh. P.CR - Prob. 115ECh. P.CR - Prob. 116ECh. P.CR - Prob. 117ECh. P.CR - Prob. 118ECh. P.CR - Prob. 119ECh. P.CR - Prob. 120ECh. P.CR - Prob. 121ECh. P.CR - Prob. 122ECh. P.CR - Prob. 123ECh. P.CR - Prob. 124ECh. P.CR - Prob. 125ECh. P.CR - Prob. 126ECh. P.CR - Prob. 127ECh. P.CR - Prob. 128ECh. P.CR - Prob. 129ECh. P.CR - Distance and Time Anthony leaves Kingstown at 2:00...Ch. P.CR - Prob. 131ECh. P.CR - Prob. 132ECh. P.CR - Prob. 133ECh. P.CR - Prob. 134ECh. P.CT - A pizzeria charges 9 for a medium plain cheese...Ch. P.CT - Prob. 2CTCh. P.CT - Prob. 3CTCh. P.CT - Prob. 4CTCh. P.CT - Prob. 5CTCh. P.CT - Prob. 6CTCh. P.CT - Prob. 7CTCh. P.CT - Prob. 8CTCh. P.CT - Prob. 9CTCh. P.CT - Prob. 10CTCh. P.CT - Prob. 11CTCh. P.CT - Prob. 12CTCh. P.CT - Prob. 13CTCh. P.CT - Natasha drove from Bedingfield to Portsmouth at an...Ch. P.FOM - Renting versus buying a photocopier A certain...Ch. P.FOM - Car Rental A businessman intends to rent a car for...Ch. P.FOM - Prob. 3PCh. P.FOM - Prob. 4PCh. P.FOM - Edging a Planter A woman wants to make a small...Ch. P.FOM - Prob. 6PCh. P.FOM - Cell Phone Plans Gwendolyn is mulling over the...Ch. P.FOM - Profit Sharing To form a new enterprise, Company A...
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