Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term
Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term
10th Edition
ISBN: 9781337605090
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 3.3, Problem 90E

Writing Write a short paragraph explaining why the transformations of the data in Exercise 89 were necessary to obtain the models. Why did taking the logarithms of the temperatures lead to a linear scatter plot? Why did taking the reciprocals of the temperatures lead to a linear scatter plot?

89. Comparing Models A cup of water at an initial temperature of 78 ∘ C is placed in a room at a constant temperature of 21 ∘ C . The temperature of the water is measured every 5 minutes during a half-hour period. The results are recorded as ordered pairs of the form ( t , T ) , where t is the time (in minutes) and T is the temperature (in degrees Celsius).

( 0 , 78.0 ∘ ) , ( 5 , 66.0 ∘ ) , ( 10 , 57.5 ∘ ) , ( 15 , 51.2 ∘ ) , ( 20 , 46.3 ∘ ) , ( 25 , 42.4 ∘ ) , ( 30 , 39.6 ∘ )

(a) Subtract the room temperature from each of the temperatures in the ordered pairs. Use a graphing utility to plot the data points ( t , T )     a n d     ( t , T − 21 ) .

(b) An exponential model for the data ( t , T − 21 ) is T − 21 = 54.4 ( 0.964 ) t . Solve for T and graph the model. Compare the result with the plot of the original data.

(c) Use the graphing utility to plot the points ( t , ln ( T − 21 ) ) and observe that the points appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. This resulting line has the form ln ( T − 21 ) = a t + b , which is equivalent to e ln ( T − 21 ) = e a t + b . Solve for T, and verify that the result is equivalent to the model in part (b).

(d) Fit a rational model to the data. Take the reciprocals of the y-coordinates of the revised data points to generate the points

( t , 1 T − 21 )

Use the graphing utility to graph these points and observe that they appear to be linear. Use the regression feature of the graphing utility to fit a line to these data. The resulting line has the form

1 T − 21 = a t + b .

Solve for T, and use the graphing utility to graph the rational function and the original data points.

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Chapter 3 Solutions

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

Ch. 3.1 - Checkpoint Use a calculator to evaluate fx=8-x at...Ch. 3.1 - Checkpoint In the same coordinate plane, sketch...Ch. 3.1 - Prob. 3CPCh. 3.1 - Prob. 4CPCh. 3.1 - Checkpoint Describe the transformation of the...Ch. 3.1 - Prob. 6CPCh. 3.1 - Prob. 7CPCh. 3.1 - Prob. 8CPCh. 3.1 - Prob. 9CPCh. 3.1 - Prob. 1E
Ch. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Matching an Exponential Function with Its Graph In...Ch. 3.1 - Matching an Exponential Function with Its Graph In...Ch. 3.1 - Matching an Exponential Function with Its Graph In...Ch. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Graphing an Exponential Function In Exercises...Ch. 3.1 - Graphing an Exponential Function In Exercises...Ch. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Graphing an Exponential Function In Exercises...Ch. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Using the One-to-One Property In Exercises 25-28,...Ch. 3.1 - Using the One-to-One Property In Exercises 25-28,...Ch. 3.1 - Using the One-to-One Property In Exercises 25-28,...Ch. 3.1 - Using the One-to-One Property In Exercises 25-28,...Ch. 3.1 - Prob. 29ECh. 3.1 - Transformations of the Graph of an Exponential...Ch. 3.1 - Transformations of the Graph of an Exponential...Ch. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Graphing a Natural Exponential Function In...Ch. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Graphing a Natural Exponential Function In...Ch. 3.1 - Prob. 44ECh. 3.1 - Using the One-to-One Property In Exercises 45-48,...Ch. 3.1 - Using the One-to-One Property In Exercises 45-48,...Ch. 3.1 - Using the One-to-One Property In Exercises 45-48,...Ch. 3.1 - Using the One-to-One Property In Exercises 45-48,...Ch. 3.1 - Compound Interest In Exercise 49-52, complete the...Ch. 3.1 - Compound Interest In Exercise 49-52, complete the...Ch. 3.1 - Compound Interest In Exercise 49-52, complete the...Ch. 3.1 - Compound Interest In Exercise 49-52, complete the...Ch. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Trust Fund On the day of childs birth, a parent...Ch. 3.1 - Trust Fund A philanthropist deposits 5000 in a...Ch. 3.1 - Inflation Assuming that the annual rate of...Ch. 3.1 - Computer Virus The number V of the computers...Ch. 3.1 - Population Growth The projected population of the...Ch. 3.1 - Population The population Pin millions of Italy...Ch. 3.1 - Radioactive Decay Let Q represent a mass in grams...Ch. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - Prob. 69ECh. 3.1 - Prob. 70ECh. 3.1 - Prob. 71ECh. 3.1 - Prob. 72ECh. 3.1 - Prob. 73ECh. 3.1 - Prob. 74ECh. 3.1 - Prob. 75ECh. 3.1 - Prob. 76ECh. 3.1 - Prob. 77ECh. 3.1 - HOW DO YOU SEE IT? The figure shows the graphs of...Ch. 3.1 - Prob. 79ECh. 3.1 - Compound Interest Use the formula A=P(1+rn)nt To...Ch. 3.2 - Evaluate each logarithm at the given value of x....Ch. 3.2 - Prob. 2CPCh. 3.2 - Prob. 3CPCh. 3.2 - Prob. 4CPCh. 3.2 - Prob. 5CPCh. 3.2 - Prob. 6CPCh. 3.2 - Prob. 7CPCh. 3.2 - Prob. 8CPCh. 3.2 - Prob. 9CPCh. 3.2 - Prob. 10CPCh. 3.2 - Prob. 11CPCh. 3.2 - Prob. 1ECh. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Writing an Exponential Equation In Exercises 7-10,...Ch. 3.2 - Prob. 8ECh. 3.2 - Writing an Exponential Equation In Exercises 7-10,...Ch. 3.2 - Writing an Exponential Equation In Exercises 7-10,...Ch. 3.2 - Writing a Logarithmic Equation In Exercises 11-14,...Ch. 3.2 - Prob. 12ECh. 3.2 - Writing a Logarithmic Equation In Exercises 11-14,...Ch. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Evaluating a Logarithm In Exercises 15-20,...Ch. 3.2 - Evaluating a Logarithm In Exercises 15-20,...Ch. 3.2 - Evaluating a Logarithm In Exercises 15-20,...Ch. 3.2 - Evaluating a Logarithm In Exercises 15-20,...Ch. 3.2 - Evaluating a Logarithm In Exercises 15-20,...Ch. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Using Properties of Logarithms In Exercises 25-28,...Ch. 3.2 - Using Properties of Logarithms In Exercises 25-28,...Ch. 3.2 - Using Properties of Logarithms In Exercises 25-28,...Ch. 3.2 - Using Properties of Logarithms In Exercises 25-28,...Ch. 3.2 - Using the One-to-One Property In Exercises 29-32,...Ch. 3.2 - Using the One-to-One Property In Exercises 29-32,...Ch. 3.2 - Using the One-to-One Property In Exercises 29-32,...Ch. 3.2 - Using the One-to-One Property In Exercises 29-32,...Ch. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Graphing Exponential and Logarithmic Functions In...Ch. 3.2 - Prob. 36ECh. 3.2 - Matching a Logarithmic Function with Its Graph In...Ch. 3.2 - Matching a Logarithmic Function with Its Graph In...Ch. 3.2 - Matching a Logarithmic Function with Its Graph In...Ch. 3.2 - Matching a Logarithmic Function with Its Graph In...Ch. 3.2 - Sketching the Graph of a Logarithmic Function In...Ch. 3.2 - Prob. 42ECh. 3.2 - Sketching the Graph of a Logarithmic Function In...Ch. 3.2 - Prob. 44ECh. 3.2 - Sketching the Graph of a Logarithmic Function In...Ch. 3.2 - Prob. 46ECh. 3.2 - Sketching the Graph of a Logarithmic Function In...Ch. 3.2 - Prob. 48ECh. 3.2 - Writing a Natural Exponential Equation In...Ch. 3.2 - Prob. 50ECh. 3.2 - Writing a Natural Exponential Equation In...Ch. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Writing a Natural Logarithmic Equation In...Ch. 3.2 - Prob. 55ECh. 3.2 - Prob. 56ECh. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Using Properties of Natural Logarithms In...Ch. 3.2 - Prob. 63ECh. 3.2 - Using Properties of Natural Logarithms In...Ch. 3.2 - Using Properties of Natural Logarithms In...Ch. 3.2 - Using Properties of Natural Logarithms In...Ch. 3.2 - Graphing a Natural Logarithmic Function In...Ch. 3.2 - Prob. 68ECh. 3.2 - Graphing a Natural Logarithmic Function In...Ch. 3.2 - Prob. 70ECh. 3.2 - Graphing a Natural Logarithmic Function In...Ch. 3.2 - Prob. 72ECh. 3.2 - Graphing a Natural Logarithmic Function In...Ch. 3.2 - Prob. 74ECh. 3.2 - Using the One-to-One Property In Exercises 75-78,...Ch. 3.2 - Prob. 76ECh. 3.2 - Using the One-to-One Property In Exercises 75-78,...Ch. 3.2 - Prob. 78ECh. 3.2 - Monthly Payment The model t=16.625lnxx-750,x750...Ch. 3.2 - Telephone Service The percent P of the households...Ch. 3.2 - Population The time t in years for the world...Ch. 3.2 - Prob. 82ECh. 3.2 - Prob. 83ECh. 3.2 - Prob. 84ECh. 3.2 - Prob. 85ECh. 3.2 - Prob. 86ECh. 3.2 - Prob. 87ECh. 3.2 - Prob. 88ECh. 3.2 - Prob. 89ECh. 3.2 - Prob. 90ECh. 3.2 - Prob. 91ECh. 3.2 - Prob. 92ECh. 3.3 - Evaluate log212 using the change-of-base formula...Ch. 3.3 - Prob. 2CPCh. 3.3 - Prob. 3CPCh. 3.3 - Prob. 4CPCh. 3.3 - Prob. 5CPCh. 3.3 - Prob. 6CPCh. 3.3 - Find a logarithmic equation that relates y and x...Ch. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Using the Change-of-Base Formula In Exercises...Ch. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Using Properties of Logarithms In Exercises 13 ...Ch. 3.3 - Using Properties of Logarithms In Exercises 13 ...Ch. 3.3 - Prob. 19ECh. 3.3 - Using Properties of Logarithms In Exercises 19 ...Ch. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Using Properties of Logarithms In Exercises 19 ...Ch. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Using Properties of Logarithms. 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Prob. 5ECh. 3.4 - Determining Solutions In Exercise 3-6, determine...Ch. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - Prob. 9ECh. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Approximating a Point of Intersection In Exercises...Ch. 3.4 - Prob. 19ECh. 3.4 - Solving an Exponential Equation In Exercises...Ch. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Solving an Exponential Equation In Exercises...Ch. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Solving a Logarithmic Equation In Exercises 47-62,...Ch. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Solving a Logarithmic Equation In Exercises 47-62,...Ch. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.4 - Compound Interest In Exercises 71and72, you invest...Ch. 3.4 - Prob. 72ECh. 3.4 - Prob. 73ECh. 3.4 - Prob. 74ECh. 3.4 - Algebra of Calculus In Exercises 73-80, solve the...Ch. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.4 - Prob. 78ECh. 3.4 - Algebra of Calculus In Exercises 73-80, solve the...Ch. 3.4 - Prob. 80ECh. 3.4 - Prob. 81ECh. 3.4 - Prob. 82ECh. 3.4 - Ecology The number N of beavers in a given area...Ch. 3.4 - Ecology The number N of trees of a given species...Ch. 3.4 - Prob. 85ECh. 3.4 - Prob. 86ECh. 3.4 - 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Radioactive Decay In Exercises 21-24 find the...Ch. 3.5 - Radioactive Decay In Exercises 21-24 find the...Ch. 3.5 - Radioactive Decay In Exercises 21-24 find the...Ch. 3.5 - Prob. 25ECh. 3.5 - Finding an Exponential model In Exercises 2528,...Ch. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Population The populations P in thousands of Horry...Ch. 3.5 - Prob. 30ECh. 3.5 - Website Growth The number y of hits a new website...Ch. 3.5 - Prob. 32ECh. 3.5 - Bacteria Growth The number of bacteria in a...Ch. 3.5 - Bacteria Growth The number of bacteria in a...Ch. 3.5 - Depreciation A laptop computer that costs 575 new...Ch. 3.5 - Learning Curve The management at a plastics...Ch. 3.5 - Prob. 37ECh. 3.5 - Carbon Dating The ratio of carbon- 14 to carbon-...Ch. 3.5 - Prob. 39ECh. 3.5 - Education The amount of time in hours per week a...Ch. 3.5 - Cell Sites A cell site is a site where electronic...Ch. 3.5 - Prob. 42.1ECh. 3.5 - Prob. 42.2ECh. 3.5 - Prob. 42.3ECh. 3.5 - Prob. 42.4ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - Forensics At 8:30 A.M, a coroner went to the home...Ch. 3.5 - Prob. 58ECh. 3.5 - Home Mortgage The total interest u paid on a home...Ch. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - True or False? In Exercises 61-64, determine...Ch. 3.5 - Prob. 63ECh. 3.5 - Prob. 64ECh. 3.5 - HOW DO YOU SEE IT? Identify each model as...Ch. 3.CR - Prob. 1CRCh. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Using a One-to-One Property. In Exercises 13 16,...Ch. 3.CR - Using a One-to-One Property. In Exercises 13 16,...Ch. 3.CR - Using a One-to-One Property. In Exercises 13 16,...Ch. 3.CR - Using a One-to-One Property. In Exercises 13 16,...Ch. 3.CR - Transforming the Graph of an Exponential Function....Ch. 3.CR - Transforming the Graph of an Exponential Function....Ch. 3.CR - Transforming the Graph of an Exponential Function....Ch. 3.CR - Transforming the Graph of an Exponential Function....Ch. 3.CR - Evaluating the Natural Exponential Function. In...Ch. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Prob. 25CRCh. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - Prob. 28CRCh. 3.CR - Prob. 29CRCh. 3.CR - Prob. 30.1CRCh. 3.CR - Prob. 30.2CRCh. 3.CR - Prob. 30.3CRCh. 3.CR - Prob. 30.4CRCh. 3.CR - Compound Interest In Exercises 31 and 32, complete...Ch. 3.CR - Compound Interest In Exercises 31 and 32, complete...Ch. 3.CR - Prob. 33CRCh. 3.CR - Prob. 34CRCh. 3.CR - Prob. 35CRCh. 3.CR - Prob. 36CRCh. 3.CR - Evaluating a Logarithm In Exercises 37 40,...Ch. 3.CR - Evaluating a Logarithm. In Exercises 37 40,...Ch. 3.CR - Evaluating a Logarithm In Exercises 37 40,...Ch. 3.CR - Prob. 40CRCh. 3.CR - Prob. 41CRCh. 3.CR - Prob. 42CRCh. 3.CR - Prob. 43CRCh. 3.CR - Prob. 44CRCh. 3.CR - Prob. 45CRCh. 3.CR - Prob. 46CRCh. 3.CR - Prob. 47CRCh. 3.CR - Prob. 48CRCh. 3.CR - Prob. 49CRCh. 3.CR - Prob. 50CRCh. 3.CR - Prob. 51CRCh. 3.CR - Prob. 52CRCh. 3.CR - Graphing a Natural Logarithmic Function. In...Ch. 3.CR - Graphing a Natural Logarithmic Function. In...Ch. 3.CR - Prob. 55CRCh. 3.CR - Prob. 56CRCh. 3.CR - Astronomy. The formula M=m5log(d/10) gives the...Ch. 3.CR - Prob. 58CRCh. 3.CR - Using the Change-of-Base Formula In Exercises 59 ...Ch. 3.CR - Prob. 60CRCh. 3.CR - Prob. 61CRCh. 3.CR - Prob. 62CRCh. 3.CR - Prob. 63CRCh. 3.CR - Prob. 64CRCh. 3.CR - Prob. 65CRCh. 3.CR - Prob. 66CRCh. 3.CR - Prob. 67CRCh. 3.CR - Prob. 68CRCh. 3.CR - Prob. 69CRCh. 3.CR - Prob. 70CRCh. 3.CR - Prob. 71CRCh. 3.CR - Prob. 72CRCh. 3.CR - Prob. 73CRCh. 3.CR - Prob. 74CRCh. 3.CR - Prob. 75CRCh. 3.CR - Prob. 76CRCh. 3.CR - Prob. 77CRCh. 3.CR - Prob. 78CRCh. 3.CR - Prob. 79CRCh. 3.CR - Human Memory Model Students in a learning theory...Ch. 3.CR - Prob. 81CRCh. 3.CR - Prob. 82CRCh. 3.CR - Prob. 83CRCh. 3.CR - Prob. 84CRCh. 3.CR - Prob. 85CRCh. 3.CR - Prob. 86CRCh. 3.CR - Prob. 87CRCh. 3.CR - Prob. 88CRCh. 3.CR - Prob. 89CRCh. 3.CR - Prob. 90CRCh. 3.CR - Prob. 91CRCh. 3.CR - Prob. 92CRCh. 3.CR - Prob. 93CRCh. 3.CR - Prob. 94CRCh. 3.CR - Prob. 95CRCh. 3.CR - Prob. 96CRCh. 3.CR - Prob. 97CRCh. 3.CR - Prob. 98CRCh. 3.CR - Prob. 99CRCh. 3.CR - Prob. 100CRCh. 3.CR - Prob. 101CRCh. 3.CR - Prob. 102CRCh. 3.CR - Prob. 103CRCh. 3.CR - Prob. 104CRCh. 3.CR - Prob. 105CRCh. 3.CR - Prob. 106CRCh. 3.CR - Prob. 107CRCh. 3.CR - Prob. 108CRCh. 3.CR - Prob. 109CRCh. 3.CR - Prob. 110CRCh. 3.CR - Prob. 111CRCh. 3.CR - Prob. 112CRCh. 3.CR - Prob. 113CRCh. 3.CR - Prob. 114.1CRCh. 3.CR - Prob. 114.2CRCh. 3.CR - Prob. 115.1CRCh. 3.CR - Prob. 115.2CRCh. 3.CR - Prob. 115.3CRCh. 3.CR - Prob. 116CRCh. 3.CR - Prob. 117CRCh. 3.CR - Prob. 118CRCh. 3.CT - Prob. 1CTCh. 3.CT - Prob. 2CTCh. 3.CT - Prob. 3CTCh. 3.CT - Prob. 4CTCh. 3.CT - Prob. 5CTCh. 3.CT - Prob. 6CTCh. 3.CT - Prob. 7CTCh. 3.CT - Prob. 8CTCh. 3.CT - Prob. 9CTCh. 3.CT - Prob. 10CTCh. 3.CT - Prob. 11CTCh. 3.CT - Prob. 12CTCh. 3.CT - Prob. 13CTCh. 3.CT - Prob. 14CTCh. 3.CT - Prob. 15CTCh. 3.CT - Prob. 16CTCh. 3.CT - In Exercises 15-17, use the properties of...Ch. 3.CT - Prob. 18CTCh. 3.CT - Prob. 19CTCh. 3.CT - Prob. 20CTCh. 3.CT - Prob. 21CTCh. 3.CT - Prob. 22CTCh. 3.CT - Prob. 23CTCh. 3.CT - Prob. 24CTCh. 3.CT - In Exercises 21-26, solve the equation...Ch. 3.CT - Prob. 26CTCh. 3.CT - Find the exponential growth model that fits the...Ch. 3.CT - The half-life of radioactive actinium (227Ac) is...Ch. 3.CT - Prob. 29CTCh. 3.CM - Prob. 1CMCh. 3.CM - Prob. 2CMCh. 3.CM - Prob. 3CMCh. 3.CM - Prob. 4CMCh. 3.CM - Prob. 5CMCh. 3.CM - Prob. 6CMCh. 3.CM - Prob. 7.1CMCh. 3.CM - Prob. 7.2CMCh. 3.CM - Prob. 7.3CMCh. 3.CM - Prob. 8.1CMCh. 3.CM - Prob. 8.2CMCh. 3.CM - Prob. 8.3CMCh. 3.CM - Prob. 9CMCh. 3.CM - Prob. 10CMCh. 3.CM - Prob. 11CMCh. 3.CM - Prob. 12CMCh. 3.CM - Determine whether h(x)=3x4 has an inverse...Ch. 3.CM - Prob. 14CMCh. 3.CM - Prob. 15CMCh. 3.CM - Prob. 16CMCh. 3.CM - Prob. 17CMCh. 3.CM - Prob. 18CMCh. 3.CM - Prob. 19CMCh. 3.CM - Prob. 20CMCh. 3.CM - Prob. 21CMCh. 3.CM - Prob. 22CMCh. 3.CM - Prob. 23CMCh. 3.CM - Prob. 24CMCh. 3.CM - Prob. 25CMCh. 3.CM - Prob. 26CMCh. 3.CM - Prob. 27CMCh. 3.CM - Prob. 28CMCh. 3.CM - Prob. 29CMCh. 3.CM - In Exercises 30 and 31, describe the...Ch. 3.CM - In Exercises 30 and 31, describe the...Ch. 3.CM - Prob. 32CMCh. 3.CM - Prob. 33CMCh. 3.CM - Prob. 34CMCh. 3.CM - Prob. 35CMCh. 3.CM - Prob. 36CMCh. 3.CM - Prob. 37CMCh. 3.CM - Prob. 38CMCh. 3.CM - Prob. 39CMCh. 3.CM - Prob. 40CMCh. 3.CM - Prob. 41CMCh. 3.CM - Prob. 42CMCh. 3.CM - Prob. 43CMCh. 3.PS - Prob. 1PSCh. 3.PS - Prob. 2PSCh. 3.PS - Prob. 3PSCh. 3.PS - Prob. 4PSCh. 3.PS - Prob. 5PSCh. 3.PS - Prob. 6PSCh. 3.PS - Prob. 7PSCh. 3.PS - Prob. 8PSCh. 3.PS - Prob. 9PSCh. 3.PS - Prob. 10PSCh. 3.PS - Prob. 11PSCh. 3.PS - Prob. 12PSCh. 3.PS - Prob. 13PSCh. 3.PS - Prob. 14PSCh. 3.PS - Prob. 15PSCh. 3.PS - Prob. 16PSCh. 3.PS - Prob. 17PSCh. 3.PS - Prob. 18.1PSCh. 3.PS - Prob. 18.2PSCh. 3.PS - Prob. 18.3PSCh. 3.PS - Prob. 19PSCh. 3.PS - Prob. 20PSCh. 3.PS - Prob. 21PSCh. 3.PS - Prob. 22PSCh. 3.PS - Prob. 23PSCh. 3.PS - Using Technology In Exercises 23-26, a use a...Ch. 3.PS - Prob. 25PSCh. 3.PS - Prob. 26PS
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