Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133886818
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 1.1, Problem 55E
To determine
The graph of the equation x + 5 = 0
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Exercice 2:
Soit & l'ensemble des nombres réels.
Partie A
Soit g la fonction définie et dérivable sur R telle que, pour tout réel x. g(x) = - 2x ^ 3 + x ^ 2 - 1
1. a) Étudier les variations de la fonction g
b) Déterminer les limites de la fonction gen -oo et en +00.
2. Démontrer que l'équation g(x) = 0 admet une unique solution dans R, notée a, et que a appartient à | - 1 ;0|.
3. En déduire le signe de g sur R.
Partie B
Soit ƒ la fonction définie et dérivable sur R telle que, pour tout réel s. f(x) = (1 + x + x ^ 2 + x ^ 3) * e ^ (- 2x + 1) On note f la fonction dérivée de la fonction ƒ sur R.
1. Démontrer que lim x -> ∞ f(x) = - ∞
2. a) Démontrer que, pour tout x > 1
1 < x < x ^ 2 < x ^ 3
b) En déduire que, pour x > 1
0 < f(x) < 4x ^ 3 * e ^ (- 2x + 1)
c) On admet que, pour tout entier naturel n. lim x -> ∞ x ^ n * e ^ (- x) = 0 Vérifier que, pour tout réel x, 4x ^ 3 * e ^ (- 2x + 1) = e/2 * (2x) ^ 3 * e ^ (-2x) puis montrer que: lim x -> ∞ 4x ^ 3 * e…
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Chapter 1 Solutions
Finite Mathematics, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. 1.1 - Find the slope of each line. Through (4,5) and...Ch. 1.1 - Find the slope of each line. Through (5,-4) and...Ch. 1.1 - Find the slope of each line. Through (8,4) and (8,...Ch. 1.1 - Find the slope of each line. Through (1,5) and...Ch. 1.1 - Find the slope of each line. y = xCh. 1.1 - Find the slope of each line. y = 3x - 2Ch. 1.1 - Find the slope of each line. 5x - 9y = 11Ch. 1.1 - Find the slope of each line. 4x + 7y = 1Ch. 1.1 - Find the slope of each line. 9. x = 5Ch. 1.1 - Find the slope of each line. The x-axis
Ch. 1.1 - Find the slope of each line. y = 8Ch. 1.1 - Find the slope of each line. y = -6Ch. 1.1 - Find the slope of each line. A line parallel to 6x...Ch. 1.1 - Find the slope of each line. A line perpendicular...Ch. 1.1 - In Exercises 24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 17ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 19ECh. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - In Exercises 15-24, find an equation in...Ch. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - In Exercises 15- find an equation in...Ch. 1.1 - In Exercises 34, find an equation for each line in...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - In Exercises 25-34, find an equation for each line...Ch. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Do the points (4,3), (2,0), and (-18,-12) lie on...Ch. 1.1 - Find k so that the line through (4, -1) and (k, 2)...Ch. 1.1 - Prob. 37ECh. 1.1 - Use slopes to show that the square with vertices...Ch. 1.1 - For the lines in Exercises and 40, which of the...Ch. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - In Exercises 41 and estimate the slope of the...Ch. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Graph each equation. 2x - 3y = 12Ch. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Graph each equation. y +8 = 0Ch. 1.1 - Prob. 57ECh. 1.1 - Prob. 58ECh. 1.1 - Prob. 59ECh. 1.1 - Graph each equation. 3x - 5y = 0Ch. 1.1 - Business and Economics Sales The sales of a small...Ch. 1.1 - Cost The total cost for a bakery to produce 100...Ch. 1.1 - Tuition The table lists the annual cost (in...Ch. 1.1 - Use of Cellular Telephones The following table...Ch. 1.1 - Consumer Price Index The Consumer Price Index...Ch. 1.1 - Life Sciences HIV Infection The time interval...Ch. 1.1 - Exercise Heart Rate To achieve the maximum benefit...Ch. 1.1 - Prob. 68ECh. 1.1 - Prob. 69ECh. 1.1 - Social Sciences Child Mortality Rate The mortality...Ch. 1.1 - Immigration In 1950, there were 249.187 immigrants...Ch. 1.1 - Marriage The following Table lists the U.S. median...Ch. 1.1 - Prob. 73ECh. 1.1 - Prob. 74ECh. 1.1 - Prob. 75ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - /em>x and g(x)...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 8ECh. 1.2 - For Exercises 1-10, let f(x) = 7 - 5x and g(x) =...Ch. 1.2 - Prob. 10ECh. 1.2 - In Exercises 14, decide whether the statement is...Ch. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Assume that each situation can be expressed as a...Ch. 1.2 - Business and Economics Supply and Demand Suppose...Ch. 1.2 - Prob. 28ECh. 1.2 - Supply and Demand Let the supply and demand...Ch. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Break-Even Analysis Producing x units of tacos...Ch. 1.2 - Break-Even Analysis To produce x units of a...Ch. 1.2 - T-Shirt Cost Joanne Wendelken sells silk-screened...Ch. 1.2 - Prob. 36ECh. 1.2 - Marginal Cost of Coffee The manager of a...Ch. 1.2 - Marginal Cost of a New Plant In deciding whether...Ch. 1.2 - Prob. 39ECh. 1.2 - Prob. 40ECh. 1.2 - Prob. 41ECh. 1.2 - Prob. 42ECh. 1.2 - Prob. 43ECh. 1.2 - Prob. 44ECh. 1.2 - Prob. 45ECh. 1.2 - Prob. 46ECh. 1.2 - Prob. 47ECh. 1.2 - Prob. 48ECh. 1.2 - Temperature Find the temperature at which the...Ch. 1.2 - General Interest Education Cost A recent budget...Ch. 1.3 - Suppose a positive linear correlation is found...Ch. 1.3 - Given a set of points, the least squares line...Ch. 1.3 - Prob. 3ECh. 1.3 - Prob. 4ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Prob. 7ECh. 1.3 - Prob. 8ECh. 1.3 - The following problem is reprinted from the...Ch. 1.3 - Business and Economics Consumer Durable Goods The...Ch. 1.3 - Prob. 11ECh. 1.3 - Internet The percent of households with Internet...Ch. 1.3 - Landlines The percent of U.S. households with...Ch. 1.3 - Consumer Credit The total amount of consumer...Ch. 1.3 - Prob. 15ECh. 1.3 - Air Fares Using Expedia, a discount travel...Ch. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Social Sciences Pupil-Teacher Ratios The following...Ch. 1.3 - Prob. 21ECh. 1.3 - Ideal Partner Height In an introductory statistics...Ch. 1.3 - Prob. 23ECh. 1.3 - Physical Sciences Length of a Pendulum Grandfather...Ch. 1.3 - Prob. 25ECh. 1.3 - General Interest Football The following data give...Ch. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Running If you think a marathon is a long race,...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - The following table gives the life expectancy at...Ch. 1 - Prob. 6EACh. 1 - Now look at the residuals as a fresh data set, and...Ch. 1 - Prob. 8EACh. 1 - Prob. 9EACh. 1 - Determine whether each statement is true or false,...Ch. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - PRACTICE AND EXPLORATIONS What is marginal cost?...Ch. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - Prob. 24RECh. 1 - Prob. 25RECh. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Supply and Demand A company is manufacturing a new...Ch. 1 - Prob. 50RECh. 1 - Cost In Exercises 50-53, find a linear cost...Ch. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - Prob. 54RECh. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Social Security The average monthly Social...Ch. 1 - Meat Consumption The U.S. per capita consumption...Ch. 1 - Prob. 60RECh. 1 - Blood Sugar and Cholesterol Levels The following...Ch. 1 - Prob. 62RECh. 1 - Poverty The following table gives the number (in...Ch. 1 - Prob. 64RECh. 1 - Prob. 65RE
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