Mathematical Applications for the Management, Life, and Social Sciences
11th Edition
ISBN: 9781305108042
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Chapter 5, Problem 7T
To determine
To graph: The equation
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3. Determine the appropriate annihilator for the given F(x).
a) F(x) = 5 cos 2x
b) F(x)=9x2e3x
12.42 The steady-state distribution of temperature on a heated
plate can be modeled by the Laplace equation,
0=
FT T
+
200°C
25°C
25°C
T22
0°C
T₁
T21
200°C
FIGURE P12.42
75°C
75°C
00°C
If the plate is represented by a series of nodes (Fig. P12.42), cen-
tered finite-divided differences can be substituted for the second
derivatives, which results in a system of linear algebraic equations.
Use the Gauss-Seidel method to solve for the temperatures of the
nodes in Fig. P12.42.
9.22 Develop, debug, and test a program in either a high-level language or a macro
language of your choice to solve a system of equations with Gauss-Jordan elimination
without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the
program using the same system as in Prob. 9.18. Compute the total number of flops in
your algorithm to verify Eq. 9.37.
FIGURE 9.10
Pseudocode to implement the
Gauss-Jordan algorithm with-
out partial pivoting.
SUB GaussJordan(aug, m, n, x)
DOFOR k = 1, m
d = aug(k, k)
DOFOR j = 1, n
aug(k, j) = aug(k, j)/d
END DO
DOFOR 1 = 1, m
IF 1 % K THEN
d = aug(i, k)
DOFOR j = k, n
aug(1, j)
END DO
aug(1, j) - d*aug(k, j)
END IF
END DO
END DO
DOFOR k = 1, m
x(k) = aug(k, n)
END DO
END GaussJordan
Chapter 5 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 5.1 - 1. Can any value of x give a negative value for y...Ch. 5.1 - 2. If , what asymptote does the graph of ...Ch. 5.1 - Prob. 3CPCh. 5.1 - Prob. 4CPCh. 5.1 - Prob. 5CPCh. 5.1 - Prob. 6CPCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4E
Ch. 5.1 - Prob. 5ECh. 5.1 - Prob. 6ECh. 5.1 - Prob. 7ECh. 5.1 - Prob. 8ECh. 5.1 - Prob. 9ECh. 5.1 - Prob. 10ECh. 5.1 - Prob. 11ECh. 5.1 - Prob. 12ECh. 5.1 - Prob. 13ECh. 5.1 - Prob. 14ECh. 5.1 - Prob. 15ECh. 5.1 - Prob. 16ECh. 5.1 - Prob. 17ECh. 5.1 - Prob. 18ECh. 5.1 - 23. (a) Graph .
(b) Graph .
(c) Algebraically show...Ch. 5.1 - Prob. 20ECh. 5.1 - 25. Given that , write an equivalent equation in...Ch. 5.1 - 26. Given that , write an equivalent equation in...Ch. 5.1 - Prob. 23ECh. 5.1 - Prob. 24ECh. 5.1 - Prob. 25ECh. 5.1 - Prob. 26ECh. 5.1 - Prob. 27ECh. 5.1 - Prob. 28ECh. 5.1 - 33. Compound interest If $1000 is invested for x...Ch. 5.1 - 35. Compound interest We will show in the next...Ch. 5.1 - 36. Compound interest If $1000 is invested for x...Ch. 5.1 - 37. Drug in the bloodstream The percent...Ch. 5.1 - Bacterial growth A single bacterium splits into...Ch. 5.1 - 39. Product reliability A statistical study shows...Ch. 5.1 - Prob. 35ECh. 5.1 - Prob. 36ECh. 5.1 - Prob. 38ECh. 5.1 - 46. Advertising and sales Suppose that sales are...Ch. 5.1 - 47. Modeling Carbon dioxide emissions The...Ch. 5.1 - 53. Modeling Alzheimer’s disease As the baby...Ch. 5.2 - 1. What asymptote does the graph of approach when...Ch. 5.2 - 2. For , does the equation represent the same...Ch. 5.2 - Prob. 3CPCh. 5.2 - Prob. 4CPCh. 5.2 - 5. Simplify:
(a) (b) (c) (d) log 1
Ch. 5.2 - Prob. 6CPCh. 5.2 - In Problems 1-4, use the definition of a...Ch. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.2 - Prob. 8ECh. 5.2 - Prob. 9ECh. 5.2 - Prob. 10ECh. 5.2 - Prob. 11ECh. 5.2 - Prob. 12ECh. 5.2 - In Problems 5-14, solve for x by writing the...Ch. 5.2 - In Problems 5-14, solve for x by writing the...Ch. 5.2 - Prob. 15ECh. 5.2 - Prob. 16ECh. 5.2 - Prob. 17ECh. 5.2 - Prob. 18ECh. 5.2 - Prob. 19ECh. 5.2 - In Problems 19 and 20, write the equation in...Ch. 5.2 - Prob. 21ECh. 5.2 - Prob. 22ECh. 5.2 - Prob. 23ECh. 5.2 - Prob. 24ECh. 5.2 - Prob. 25ECh. 5.2 - Prob. 26ECh. 5.2 - Prob. 27ECh. 5.2 - Prob. 28ECh. 5.2 - Prob. 29ECh. 5.2 - Prob. 30ECh. 5.2 - Prob. 31ECh. 5.2 - In Problems 27 and 28, use properties of...Ch. 5.2 - Prob. 33ECh. 5.2 - Prob. 34ECh. 5.2 - In Problems 35 and 36, evaluate each logarithm...Ch. 5.2 - In Problems 35 and 36, evaluate each logarithm...Ch. 5.2 - Write each expression in Problems 37-40 as the sum...Ch. 5.2 - Prob. 38ECh. 5.2 - Prob. 39ECh. 5.2 - Write each expression in Problems 37-40 as the sum...Ch. 5.2 - Prob. 41ECh. 5.2 - Prob. 42ECh. 5.2 - Prob. 43ECh. 5.2 - Prob. 44ECh. 5.2 - Prob. 45ECh. 5.2 - Prob. 46ECh. 5.2 - Prob. 47ECh. 5.2 - In Problems 45-48, use a calculator to determine...Ch. 5.2 - Prob. 49ECh. 5.2 - Prob. 50ECh. 5.2 - Prob. 51ECh. 5.2 - Prob. 52ECh. 5.2 - Prob. 53ECh. 5.2 - Prob. 54ECh. 5.2 - Prob. 55ECh. 5.2 - Prob. 56ECh. 5.2 - Prob. 57ECh. 5.2 - Prob. 58ECh. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Prob. 61ECh. 5.2 - Richter scale Use the formula in Problems 59-62....Ch. 5.2 - Prob. 63ECh. 5.2 - Prob. 65ECh. 5.2 - Prob. 66ECh. 5.2 - Prob. 67ECh. 5.2 - Prob. 68ECh. 5.2 - Prob. 69ECh. 5.2 - Prob. 70ECh. 5.2 - Doubling time In Problems 71 and 72, use the...Ch. 5.2 - Prob. 72ECh. 5.2 - 73. Women in the workforce For selected years from...Ch. 5.2 - 75. Modeling Diabetes As the following table...Ch. 5.2 - Prob. 76ECh. 5.2 - 78. Modeling Demographics The table below gives...Ch. 5.3 - 1. Suppose the sales of a product, in dollars, are...Ch. 5.3 - 2. Suppose the monthly demand for a product is...Ch. 5.3 - 3. Suppose the number of employees at a new...Ch. 5.3 - Prob. 1ECh. 5.3 - Prob. 2ECh. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Prob. 8ECh. 5.3 - In Problems 1-22, solve each equation. Give...Ch. 5.3 - Prob. 10ECh. 5.3 - Prob. 11ECh. 5.3 - Prob. 12ECh. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Prob. 17ECh. 5.3 - Prob. 18ECh. 5.3 - Prob. 19ECh. 5.3 - Prob. 20ECh. 5.3 - Prob. 21ECh. 5.3 - Prob. 22ECh. 5.3 - Prob. 23ECh. 5.3 - Prob. 24ECh. 5.3 - 25. Sales decay The sales decay for a product is...Ch. 5.3 - 26. Sales decay The sales of a product decline...Ch. 5.3 - 27. Inflation The purchasing power P (in dollars)...Ch. 5.3 - 28. Product reliability A statistical study shows...Ch. 5.3 - 29. Radioactive half-life An initial amount of 100...Ch. 5.3 - 30. Radioactive half-life A breeder reactor...Ch. 5.3 - 31. Population growth If the population of a...Ch. 5.3 - 32. Population growth The population of a certain...Ch. 5.3 - 35. Demand The demand function for a certain...Ch. 5.3 - 36. Demand The demand function for a product is...Ch. 5.3 - 37. Supply If the supply function for a product is...Ch. 5.3 - Prob. 38ECh. 5.3 - 39. Total cost The total cost function for x units...Ch. 5.3 - Prob. 40ECh. 5.3 - Prob. 41ECh. 5.3 - Prob. 42ECh. 5.3 - 43. Compound interest If $8500 is invested at...Ch. 5.3 - 44. Compound interest If $1000 is invested at 10%...Ch. 5.3 - 45. Compound interest If $5000 is invested at 9%...Ch. 5.3 - Prob. 46ECh. 5.3 - Profits An investment services company experienced...Ch. 5.3 - Profits An investment services company experienced...Ch. 5.3 - Prob. 49ECh. 5.3 - Prob. 50ECh. 5.3 - 51. Supply Suppose the supply of x units of a...Ch. 5.3 - 52. Demand Assume that the demand function for a...Ch. 5.3 - 53. Sales growth The president of a company...Ch. 5.3 - Prob. 54ECh. 5.3 - 55. Organizational growth Suppose that the...Ch. 5.3 - Prob. 56ECh. 5.3 - Prob. 57ECh. 5.3 - 58. Population growth Suppose that the number y of...Ch. 5.3 - 59. Spread of disease On a college campus of...Ch. 5.3 - 60. Spread of a rumor The number of people N(t) in...Ch. 5.3 - 61. Market share Suppose that the market share y...Ch. 5.3 - 62. Advertising An advertising agency has found...Ch. 5.3 - 63. Pollution Pollution levels in a lake have been...Ch. 5.3 - 64. Fish length Suppose that the length x (in...Ch. 5.3 - Prob. 65ECh. 5.3 - Prob. 66ECh. 5.3 - 67. Modeling Diabetes The following table gives...Ch. 5 - 1. Write each statement in logarithmic form.
Ch. 5 - Prob. 2RECh. 5 - Prob. 3RECh. 5 - Prob. 4RECh. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - Prob. 8RECh. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - In Problems 13-20, evaluate each logarithm without...Ch. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - In Problems 21-24, if , find each of the following...Ch. 5 - In Problems 21-24, if , find each of the following...Ch. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - 27. Is it true that ln for all positive values of...Ch. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - 31. If
Ch. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - In Problems 36-42, solve each equation.
37.
Ch. 5 - Prob. 38RECh. 5 - In Problems 36-42, solve each equation.
39.
Ch. 5 - In Problems 36-42, solve each equation.
40.
Ch. 5 - Prob. 41RECh. 5 - In Problems 36-42, solve each equation.
42.
Ch. 5 - Prob. 43RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - 50. Sales decay The sales decay for a product is...Ch. 5 - Prob. 51RECh. 5 - 54. Compound interest If $1000 is invested at 12%,...Ch. 5 - 55. Compound interest If $5000 is invested at...Ch. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - Prob. 10TCh. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - Prob. 16TCh. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 19TCh. 5 - Prob. 20TCh. 5 - Prob. 21TCh. 5 - Prob. 22TCh. 5 - Prob. 23TCh. 5 - Prob. 24TCh. 5 - Prob. 25TCh. 5 - Prob. 26TCh. 5 - 27. The total national health expenditures per...Ch. 5 - 28. A company plans to phase out one model of its...Ch. 5 - Prob. 30T
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