Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 4.6, Problem 23E
To determine
To find:
The number of years before the artifact was made.
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Chapter 4 Solutions
Algebra and Trigonometry (MindTap Course List)
Ch. 4.1 - The function f(x)=5x is an exponential function...Ch. 4.1 - Prob. 2ECh. 4.1 - a To obtain the graph of g(x)=2x1, we start with...Ch. 4.1 - In the formula A(t)=P(1+rn)nt for compound...Ch. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - Prob. 22ECh. 4.1 - 2124 Exponential Functions from a Graph Find the...Ch. 4.1 - 2124 Exponential Functions from a Graph Find the...Ch. 4.1 - 2526 Exponential Functions from a Graph Match the...Ch. 4.1 - 2526 Exponential Functions from a Graph Match the...Ch. 4.1 - 2740 Graphing Exponential Functions Graph the...Ch. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - 4546 Comparing Exponential and Power Functions In...Ch. 4.1 - 4546 Comparing Exponential and Power Functions In...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Prob. 49ECh. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - 5152 Difference Quotients These exercises involve...Ch. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Compound Interest If 4000 is borrowed at a rate of...Ch. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - 34 Evaluating Exponential Functions Use a...Ch. 4.2 - Prob. 4ECh. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Hyperbolic sine Function The hyperbolic sine...Ch. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Medical Drugs When a certain medical drug is...Ch. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Mixtures and concentrations A 50-gal barrel is...Ch. 4.2 - Logistic Growth Animal populations are not capable...Ch. 4.2 - Bird Population The population of a certain...Ch. 4.2 - Prob. 29ECh. 4.2 - Tree Diameter For a certain type of tree the...Ch. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.3 - logx is the exponent to which the base 10 must be...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - 78 Logarithmic and Exponential forms Complete the...Ch. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Prob. 30ECh. 4.3 - Prob. 31ECh. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - 4548 Evaluating Logarithms Use a calculator to...Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - Prob. 59ECh. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Prob. 72ECh. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Prob. 78ECh. 4.3 - Prob. 79ECh. 4.3 - Prob. 80ECh. 4.3 - Prob. 81ECh. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Prob. 84ECh. 4.3 - Prob. 85ECh. 4.3 - Prob. 86ECh. 4.3 - Prob. 87ECh. 4.3 - Prob. 88ECh. 4.3 - Prob. 89ECh. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Prob. 92ECh. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - Prob. 95ECh. 4.3 - Prob. 96ECh. 4.3 - Prob. 97ECh. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Prob. 100ECh. 4.3 - Difficulty of a Task The difficulty in "acquiring...Ch. 4.3 - Prob. 102ECh. 4.3 - DISCUSS: The Googolplex A googol is 10100, and a...Ch. 4.3 - Prob. 104ECh. 4.3 - DICUSS DISCOVER: The Number of Digits in an...Ch. 4.4 - The logarithm of a product of two numbers is the...Ch. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - a Most calculators can find logarithms with base...Ch. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - Prob. 35ECh. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - 2348 Expanding Logarithmic Expressions Use the...Ch. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Wealth Distribution Vilfredo Pareto (18481923)...Ch. 4.4 - Prob. 74ECh. 4.4 - Magnitude of Stars The magnitude M of a star is a...Ch. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.5 - Lets solve the exponential equation 2ex=50. a...Ch. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Prob. 6ECh. 4.5 - Prob. 7ECh. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - 1138 Exponential Equations a Find the exact...Ch. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Prob. 71ECh. 4.5 - Prob. 72ECh. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - Prob. 89ECh. 4.5 - Prob. 90ECh. 4.5 - Prob. 91ECh. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.5 - Prob. 95ECh. 4.5 - Prob. 96ECh. 4.5 - Fish Population A small lake is stocked with a...Ch. 4.5 - Prob. 98ECh. 4.5 - Prob. 99ECh. 4.5 - Cooling an Engine Suppose youre driving your car...Ch. 4.5 - Electric circuits An electric circuit contains a...Ch. 4.5 - Learning Curve A learning curve is a graph of a...Ch. 4.5 - Prob. 103ECh. 4.5 - Prob. 104ECh. 4.5 - Prob. 105ECh. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - Prob. 3ECh. 4.6 - Prob. 4ECh. 4.6 - Prob. 5ECh. 4.6 - Prob. 6ECh. 4.6 - Prob. 7ECh. 4.6 - Prob. 8ECh. 4.6 - Prob. 9ECh. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - Prob. 14ECh. 4.6 - 116 Population Growth These exercises use the...Ch. 4.6 - Prob. 16ECh. 4.6 - Prob. 17ECh. 4.6 - Prob. 18ECh. 4.6 - Prob. 19ECh. 4.6 - Prob. 20ECh. 4.6 - Prob. 21ECh. 4.6 - Prob. 22ECh. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - 2528 Law of Cooling These exercises use Newtons...Ch. 4.6 - 2528 Law of Cooling These exercises use Newtons...Ch. 4.6 - Prob. 27ECh. 4.6 - Prob. 28ECh. 4.7 - Prob. 1ECh. 4.7 - Prob. 2ECh. 4.7 - Ion Concentration The pH reading of a sample of...Ch. 4.7 - Prob. 4ECh. 4.7 - Prob. 5ECh. 4.7 - Prob. 6ECh. 4.7 - pH of Wine If the pH of a wine is too high, say,...Ch. 4.7 - pH of Saliva The pH of saliva is normally in the...Ch. 4.7 - 9. Earthquake Magnitude and Intensity a Find the...Ch. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - Prob. 13ECh. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - Prob. 16ECh. 4.7 - Prob. 17ECh. 4.7 - Prob. 18ECh. 4.7 - Hearing Loss from MP3 Players Recent research has...Ch. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.CR - Let f be the exponential function with base a. a...Ch. 4.CR - Prob. 2CCCh. 4.CR - Prob. 3CCCh. 4.CR - Prob. 4CCCh. 4.CR - Prob. 5CCCh. 4.CR - Prob. 6CCCh. 4.CR - Prob. 7CCCh. 4.CR - Prob. 8CCCh. 4.CR - Prob. 9CCCh. 4.CR - Prob. 10CCCh. 4.CR - Prob. 11CCCh. 4.CR - Prob. 12CCCh. 4.CR - Suppose that the initial mass of radioactive...Ch. 4.CR - Prob. 14CCCh. 4.CR - Prob. 15CCCh. 4.CR - Prob. 16CCCh. 4.CR - Prob. 17CCCh. 4.CR - Prob. 18CCCh. 4.CR - Prob. 1ECh. 4.CR - Prob. 2ECh. 4.CR - Prob. 3ECh. 4.CR - Prob. 4ECh. 4.CR - Prob. 5ECh. 4.CR - Prob. 6ECh. 4.CR - Prob. 7ECh. 4.CR - Prob. 8ECh. 4.CR - Prob. 9ECh. 4.CR - Prob. 10ECh. 4.CR - Prob. 11ECh. 4.CR - Prob. 12ECh. 4.CR - Prob. 13ECh. 4.CR - Prob. 14ECh. 4.CR - Prob. 15ECh. 4.CR - Prob. 16ECh. 4.CR - Prob. 17ECh. 4.CR - Prob. 18ECh. 4.CR - Prob. 19ECh. 4.CR - Prob. 20ECh. 4.CR - Prob. 21ECh. 4.CR - Prob. 22ECh. 4.CR - Prob. 23ECh. 4.CR - Prob. 24ECh. 4.CR - Prob. 25ECh. 4.CR - Prob. 26ECh. 4.CR - 2528 Logarithmic Form Write the equation in...Ch. 4.CR - Prob. 28ECh. 4.CR - Prob. 29ECh. 4.CR - Prob. 30ECh. 4.CR - Prob. 31ECh. 4.CR - Prob. 32ECh. 4.CR - Prob. 33ECh. 4.CR - Prob. 34ECh. 4.CR - Prob. 35ECh. 4.CR - Prob. 36ECh. 4.CR - Prob. 37ECh. 4.CR - Prob. 38ECh. 4.CR - Prob. 39ECh. 4.CR - Prob. 40ECh. 4.CR - Prob. 41ECh. 4.CR - Prob. 42ECh. 4.CR - Prob. 43ECh. 4.CR - Prob. 44ECh. 4.CR - Prob. 45ECh. 4.CR - Prob. 46ECh. 4.CR - Prob. 47ECh. 4.CR - Prob. 48ECh. 4.CR - Prob. 49ECh. 4.CR - Prob. 50ECh. 4.CR - Prob. 51ECh. 4.CR - Prob. 52ECh. 4.CR - Prob. 53ECh. 4.CR - Prob. 54ECh. 4.CR - Prob. 55ECh. 4.CR - Prob. 56ECh. 4.CR - Prob. 57ECh. 4.CR - Prob. 58ECh. 4.CR - Prob. 59ECh. 4.CR - Prob. 60ECh. 4.CR - Prob. 61ECh. 4.CR - Prob. 62ECh. 4.CR - Prob. 63ECh. 4.CR - Prob. 64ECh. 4.CR - Prob. 65ECh. 4.CR - Prob. 66ECh. 4.CR - Prob. 67ECh. 4.CR - Prob. 68ECh. 4.CR - Prob. 69ECh. 4.CR - Prob. 70ECh. 4.CR - Prob. 71ECh. 4.CR - Prob. 72ECh. 4.CR - Prob. 73ECh. 4.CR - Prob. 74ECh. 4.CR - Prob. 75ECh. 4.CR - Prob. 76ECh. 4.CR - Prob. 77ECh. 4.CR - 7578 Local Extrema and Asymptotes Draw a graph of...Ch. 4.CR - Prob. 79ECh. 4.CR - Prob. 80ECh. 4.CR - Prob. 81ECh. 4.CR - Prob. 82ECh. 4.CR - Prob. 83ECh. 4.CR - Prob. 84ECh. 4.CR - Prob. 85ECh. 4.CR - Prob. 86ECh. 4.CR - 8588 Change of Base Use the Change of Base...Ch. 4.CR - Prob. 88ECh. 4.CR - Prob. 89ECh. 4.CR - Prob. 90ECh. 4.CR - Prob. 91ECh. 4.CR - Prob. 92ECh. 4.CR - Prob. 93ECh. 4.CR - Prob. 94ECh. 4.CR - Prob. 95ECh. 4.CR - Prob. 96ECh. 4.CR - Prob. 97ECh. 4.CR - Bacterial Growth A culture contains 10,000...Ch. 4.CR - Prob. 99ECh. 4.CR - Radioactive Decay A sample of bismuth-210 decayed...Ch. 4.CR - Radioactive Decay The half-life of radium-226 is...Ch. 4.CR - Prob. 102ECh. 4.CR - Bird Population The graph shows the population of...Ch. 4.CR - Prob. 104ECh. 4.CR - Prob. 105ECh. 4.CR - Prob. 106ECh. 4.CR - Prob. 107ECh. 4.CR - Decibel Scale The drilling of a jackhammer was...Ch. 4.CT - Sketch the graph of each function, and state its...Ch. 4.CT - Find the domain of the function. a f(t)=ln(2t3) b...Ch. 4.CT - Prob. 3CTCh. 4.CT - Prob. 4CTCh. 4.CT - Prob. 5CTCh. 4.CT - Prob. 6CTCh. 4.CT - Prob. 7CTCh. 4.CT - Prob. 8CTCh. 4.CT - Prob. 9CTCh. 4.CT - Prob. 10CTCh. 4.CT - Prob. 11CTCh. 4.CT - The half-life of krypton-91(91Kr) is 10 s. At time...Ch. 4.CT - An earthquake measuring 6.4 on the Richter scale...Ch. 4.FOM - U.S. Population The U.S. Constitution requires a...Ch. 4.FOM - A Falling Ball In a physics experiment a lead ball...Ch. 4.FOM - Half-Life of Radioactive Iodine A student is...Ch. 4.FOM - The Beer-Lambert Law As sunlight passes through...Ch. 4.FOM - Prob. 5PCh. 4.FOM - Prob. 6PCh. 4.FOM - Prob. 7PCh. 4.FOM - Prob. 8PCh. 4.FOM - Prob. 9PCh. 4.FOM - Prob. 10P
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- Radioactive Decay In Exercises 21-24, find the missing value for the radioactive isotope. Half-lifeInitialAmountAfterIsotopeyearsQuantity1000Years226Ra159910garrow_forwardRadioactive Decay A sample of bismuth-210 decayed to 33 of its original mass after 8 days. a Find the half-life of this element. b Find the mass remaining after 12 days.arrow_forwardIs carbon dating? Why does it work? Give an example in which carbon dating would be useful.arrow_forward
- Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a 10-mg sample after a thousand years. (b)How long will it take this sample to decompose until its mass is 7 mg?arrow_forwardRadioactive Decay In Exercises 21-24, find the missing value for the radioactive isotope. Half-lifeInitialAmountAfterIsotopeyearsQuantity1000Years239Pu24,1000.4garrow_forwardChanging UnitsA certain quantity has a yearly decay factor of 0.99.What is its century decay factor?arrow_forward
- Eastern Pacific Yellowfin Tuna Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded N=1481+36e2.61t where t is measured in years and N is measured in thousands of tons of fish. a. What is the r value for the Eastern Pacific yellowfin tuna? b. What is the carrying capacity K for the Eastern Pacific yellowfin tuna? c. What is the optimum yield level? d. Use your calculator to graph N versus t. e. At what time was the population growing the most rapidly?arrow_forwardU.S. Population The U.S. Constitution requires a census every 10 years. The census data for 17902010 are given in the table. a Make a scatter plot of the data. b Use a calculator to find an exponential model for the data. c Use your model to predict the population at the 2020 census. d Use your model to estimate the population in 1965. Year Population in millions Year Population in millions Year Population in millions 1790 1800 1810 1820 1830 1840 1850 1860 3.9 5.3 7.2 9.6 12.9 17.1 23.2 31.4 1870 1880 1890 1900 1910 1920 1930 1940 38.6 50.2 63.0 76.2 92.2 106.0 123.2 132.2 1950 1960 1970 1980 1990 2000 2010 151.3 179.3 203.3 226.5 248.7 281.4 308.7arrow_forwardMore on the Pacific Sardine This is a continuation of Example 5.1. In this exercise, we explore the Pacific sardine population further, using the model in Example 5.1. a. If the current level of the Pacific sardine population is 50,000 tons, how long will it take for the population to recover to the optimum growth level of 1.2milliontons? Suggestion: One way to solve this is to make a new logistic formula using K2.4, r0.338, and N(0)0.05. b. The value of r used in Example 5.1 ignores the effects of fishing. If fishing mortality is taken into account, then r drops to 0.215 per year with the carrying capacity still at 2.4milliontons. Answer the question in part a using this lower value of r. Note: The population estimate of 50,000 tons and the adjusted value of r are given in the paper by Murphy see footnote 3 on page 347. Murphy points out that factoring in the growth of the competing anchovy population makes the recovery times even longer, and he adds. "It is disconcerting to realize how slowly the population will recover to its level of maximum productivity ... even if fishing stops." Studies to fit a logistic model to the Pacific sardine population have yielded. N=241+239e0.338t where t is measured in years and N is measured in millions of tons of fish. Part 1 What is r for the Pacific sardine? Part 2 According to the logistic model, in the absence of limiting factors, what would be the annual percentage growth rate for the Pacific sardine? Part 3 What is the environmental carrying capacity K? Part 4 What is the optimum yield level? Part 5 Make a graph of N versus t. Part 6 At what time t should the population he harvested? Part 7 What portion of the graph is concave up? What portion is concave down?arrow_forward
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Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY