Precalculus (MindTap Course List)
10th Edition
ISBN: 9781337271073
Author: Ron Larson
Publisher: Cengage Learning
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Textbook Question
Chapter 3.3, Problem 87E
Stride Frequency of Animals Four-legged animals run with two different types of motion: trotting and galloping. An animal that is trotting has at least one foot on the ground at all times, whereas an animal that is galloping has all four feet off the ground at some point in its stride. The number of strides per minute at which an animal breaks from a trot to a gallop depends on the weight of the animal. Use the table to find a logarithmic equation that relates an animal’s weight x (in pounds) and its lowest stride frequency while galloping y (in strides per minute).
Weight, x | Stride Frequency, y |
25 | 191.5 |
35 | 182.7 |
50 | 173.8 |
75 | 164.2 |
500 | 125.9 |
1000 | 114.2 |
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Precalculus (MindTap Course List)
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. 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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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? 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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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- Buffalo: Waterton Lakes National Park of Canada, where the Great Plains dramatically meet the Rocky Mountains in Alberta, has a migratory buffalo bison herd that spends falls and winters in the park. The herd is currently managed and so kept small; however, if it were unmanaged and allowed to grow, then the number N of buffalo in the herd could be estimated by the logistic formula N=3151+14e0.23t Here t is the number of years since the beginning of 2002, the first year the herd is unmanaged. a. Make a graph of N versus t covering the next 30 years of the herds existance corresponding to dates up to 2032. b. How many buffalo are in the herd at the beginning of 2002? c. When will the number of buffalo first exceed 300?. d. How many buffalo will there eventually be in the herd? e. When is the graph of N, as a function of t, concave up? When is it concave down? What does this mean in terms of the growth of the buffalo herd?.arrow_forwardWeight Gain Zoologists have studied the daily rate of gain in weight G as a function of daily milk energy intake M during the first month of life in several ungulate that is, hoofed mammal species. Both M and G are measured per unit of mean body weight. They developed the model G=0.067+0.052logM With appropriate units for M and G. a.Draw a graph of G versus M. Include values of M up to 0.4unit. b.If the daily milk-energy intake M is 0.3unit, what is the daily rate of gain in weight? c.A zookeeper wants to bottle-feed an elk calf so as to maintain a daily rate of gain in weight G of 0.3unit. What must the daily milk-energy intake be? d.The study cited above noted that the higher levels of milk ingested per unit of body weight are used with reduced efficiency. Explain how the shape of the graph supports this statement.arrow_forwardLogistic Population growth the table and scatter plot give the population of black flies in a closed laboratory container over an 18 day period. (a) Use the logistic command on your calculator to find a logistic model for these data. (b) Use the model to estimate the time when there were 400 flies in the containerarrow_forward
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