ALGEBRA AND TRIGONOMETRY-WEBASSIGN
4th Edition
ISBN: 2818000007824
Author: Stewart
Publisher: CENGAGE L
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Question
Chapter 4.6, Problem 27E
To determine
a) To find:
The temperature of roasted turkey after 45 minutes.
To determine
b) To find:
The time that after the temperature if turkey will be
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Chapter 4 Solutions
ALGEBRA AND TRIGONOMETRY-WEBASSIGN
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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- A bottle of soda with a temperature of 71 Fahrenheit was taken off a shelf and placed ina refrigerator with an internal temperature of 35 .After ten minutes, the internal temperature of thesoda was 63F . Use Newton’s Law of cooling towrite a formula that models this situation. To thenearest degree, what will the temperature of thesoda be after one hour?arrow_forwardThe Beer-Lambert Law As sunlight passes through the waters of lakes and oceans, the light is absorbed, and the deeper it penetrates, the more its intensity diminishes. The light intensity I at depth x is given by the Beer-Lambert Law: I=I0ekx where I0 is the light intensity at the surface and k is a constant that depends on the murkiness of the water see page 402. A biologist uses a photometer to investigate light penetration in a northern lake, obtaining the data in the table. Light intensity decreases exponentially with depth. Use a graphing calculator to find an exponential function of the form given by the Beer-Lambert Law to model these data. What is the light intensity I0 at the surface on this day, and what is the murkiness constant k for this lake? Hint: If your calculator gives you a function of the form I=abx, convert this to the form you want using the identities bx=eln(bx)=exlnb. See Example 1b. Make a scatter plot of the data, and graph the function that you found in part a on your scatter plot. If the light intensity drops below 0.15 lumen lm, a certain species of algae cant survive because photosynthesis is impossible. Use your model from part a to determine the depth below which there is insufficient light to support this algae. Depth ft Light intensity lm Depth ft Light intensity lm 5 10 15 20 13.0 7.6 4.5 2.7 25 30 35 40 1.8 1.1 0.5 0.3arrow_forwardNewtons Law of Cooling Newtons law of cooling says that the rate at which a body cools is proportional to the difference in temperature between the body and an environment into which it is introduced. This leads to an equation where the temperature f(t) of the body at a time t after being introduced into an environment having constant temperature T0 is f(t)=T0+Cekt Where C and k are constants. Use this result in Exercises 2628. Find the temperature of an object when t=9,ifT0=18,C=5,andk=0.6.arrow_forward
- Thermic Effect of Food The metabolic rate of a person who has just eaten a meal tends to go up and then, after some time has passed, return to a resting metabolic rate. This phenomenon is known as the thermic effect of food. Researchers have indicated that the thermic effect of food. Researchers have indicated that the thermic effect of food in kJ/hr for a particular person is F(t)=10.28+175.9tet/1.3 where t is the number of hours that have elapsed since eating a meal. Source: American Journal of Clinical Nutrition. a. Graph the function on [0,6] by [20,100]. b. Find the average rate of change of the thermic effect of food during the first hour after eating. c. Use a graphing calculator to find the instantaneous rate of change of the thermic effect of food exactly one hour after eating. d. Use a graphing calculator to estimate when the function stops increasing and begins to decrease.arrow_forwardDistance a. One car leaves a given point and travels north at 30 mph. Another car leaves the same point at the same time and travels west at 40 mph. At what rate is the distance between the two cars changing at the instant when the cars have traveled 2 hours? b. b. Suppose that. in part a. the second car left I hour later than the first car. At what rate is the distance between the two cars changing at the instant when the second car has traveled 1 hour?arrow_forward
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