Solutions for Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Problem 1MP:
Matched Problem 1 A line has slope 3 and passes through the point ( 2, 10). Find an equation of the...Problem 2MP:
Matched Problem 2 (A) Use intercepts to graph the equation 4x 3y = 12. (B) Use a graphing...Problem 3MP:
Matched Problem 3 (A) Sketch a graph of g(x) = 2x2 5x 5 in a rectangular coordinate system. (B)...Problem 4MP:
Matched Problem 4 Given the quadratic function f(x) = 0.25x2 2x + 2 (A) Find the vertex form for f....Problem 5MP:
Matched Problem 5 At a price of 12.59 per box of grapefruit, the supply is 595,000 boxes and the...Problem 6MP:
Matched Problem 6 The financial department in Example 6, using statistical and analytical techniques...Problem 7MP:
Matched Problem 7 Prices for emerald-shaped diamonds are given in Table 5. Repeat Example 7 for this...Problem 8MP:
Matched Problem 8 Refer to Table 6. Use quadratic regression to find the best model of the form y =...Problem 1E:
In Problems 14, sketch a graph of each equation in a rectangular coordinate system. 1. y = 2x 3Problem 2E:
In Problems 14, sketch a graph of each equation in a rectangular coordinate system. 2. y=x2+1Problem 3E:
In Problems 14, sketch a graph of each equation in a rectangular coordinate system. 3. 2x + 3y = 12Problem 4E:
In Problems 14, sketch a graph of each equation in a rectangular coordinate system. 4. 8x 3y = 24Problem 5E:
In Problems 58, find the slope and y intercept of the graph of each equation. 5. y = 5x 7Problem 6E:
In Problems 58, find the slope and y intercept of the graph of each equation. 6. y = 3x + 2Problem 8E:
In Problems 58, find the slope and y intercept of the graph of each equation. 8. y=103x+4Problem 11E:
In Problems 914, find the slope and x intercept of the graph of each equation. 11. 8x y = 40Problem 12E:
In Problems 914, find the slope and x intercept of the graph of each equation. 12. 3x + y = 6Problem 15E:
In Problems 1518, write an equation of the line with the indicated slope and y intercept. 15. Slope...Problem 16E:
In Problems 1518, write an equation of the line with the indicated slope and y intercept. 16. Slope...Problem 17E:
In Problems 1518, write an equation of the line with the indicated slope and y intercept. 17....Problem 18E:
In Problems 1518, write an equation of the line with the indicated slope and y intercept. 18....Problem 19E:
In Problems 1922, use the graph of each line to find the x intercept, y intercept, and slope. Write...Problem 22E:
In Problems 1922, use the graph of each line to find the x intercept, y intercept, and slope. Write...Problem 23E:
Match each equation with a graph of one of the functions f, g, m, or n in the figure. (A) y = (x +...Problem 24E:
Match each equation with a graph of one of the functions f, g, m, or n in the figure. (A) y = (x ...Problem 25E:
For the functions indicated in Problems 2528, find each of the following to the nearest integer by...Problem 28E:
For the functions indicated in Problems 2528, find each of the following to the nearest integer by...Problem 29E:
In Problems 2932, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D)...Problem 30E:
In Problems 2932, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D)...Problem 33E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 34E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 35E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 36E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 37E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 39E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 40E:
In Problems 3340, (A) Find the slope of the line that passes through the given points. (B) Find the...Problem 41E:
In Problems 4146, find the vertex form for each quadratic function. Then find each of the following:...Problem 42E:
In Problems 4146, find the vertex form for each quadratic function. Then find each of the following:...Problem 43E:
In Problems 4146, find the vertex form for each quadratic function. Then find each of the following:...Problem 45E:
In Problems 4146, find the vertex form for each quadratic function. Then find each of the following:...Problem 46E:
In Problems 4146, find the vertex form for each quadratic function. Then find each of the following:...Problem 51E:
In Problems 4754, use interval notation to write the solution set of the inequality. 51. (x 3)(x +...Problem 55E:
Graph y = 25x + 200, x 0.Problem 56E:
Graph y = 40x + 160, x 0.Problem 59E:
Let f(x) = 0.3x2 x 8. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x)...Problem 64E:
If B 0 and (x1, y1), (x2, y2), and (x3, y3) are all solutions of Ax + By = C, show that the slope...Problem 65E:
Underwater pressure. At sea level, the weight of the atmosphere exerts a pressure of 14.7 pounds per...Problem 66E:
Underwater pressure. Refer to Problem 65. In fresh water, the pressure at a depth of 34 ft is 2...Problem 67E:
Rate of descentParachutes. At low altitudes, the altitude of a parachutist and time in the air are...Problem 68E:
Rate of descentParachutes. The U.S Army is considering a new parachute, the Advanced Tactical...Problem 69E:
Cost analysis. A plant can manufacture 80 golf clubs per day for a total daily cost of 7,647 and 100...Problem 70E:
Cost analysis. A plant can manufacture 50 tennis rackets per day for a total daily cost of 3,855 and...Problem 71E:
BusinessDepreciation. A farmer buys a new tractor for 157,000 and assumes that it will have a...Problem 73E:
Flight conditions. In stable air, the air temperature drops about 3.6F for each 1,000-foot rise in...Problem 75E:
Supply and demand. At a price of 2.28 per bushel, the supply of barley is 7,500 million bushels and...Problem 76E:
Supply and demand. At a price of 1.94 per bushel, the supply of corn is 9,800 million bushels and...Problem 78E:
Licensed drivers. The table contains the state population and the number of licensed drivers in the...Problem 79E:
Tire mileage. An automobile tire manufacturer collected the data in the table relating lire pressure...Problem 81E:
Tire mileage. Using quadratic regression on a graphing calculator, show that the quadratic function...Problem 83E:
Revenue. The marketing research department for a company that manufactures and sells memory chips...Problem 84E:
Revenue. The marketing research department for a company that manufactures and sells notebook...Problem 85E:
Forestry. The figure contains a scatter plot of 100 data points for black spruce trees and the...Problem 86E:
Forestry. The figure contains a scatter plot of 100 data points for black walnut trees and the...Problem 87E:
Problems 87 and 88 require a graphing calculator or a computer that can calculate the linear...Browse All Chapters of This Textbook
Chapter DPT - Diagnostic Prerequisite TestChapter 1 - Functions And GraphsChapter 1.1 - FunctionsChapter 1.2 - Elementary Functions: Graphs And TransformationsChapter 1.3 - Linear And Quadratic FunctionsChapter 1.4 - Polynomial And Rational FunctionsChapter 1.5 - Exponential FunctionsChapter 1.6 - Logarithmic FunctionsChapter 2 - Limits And The DerivativeChapter 2.1 - Introduction To Limits
Chapter 2.2 - Infinite Limits And Limits At InfinityChapter 2.3 - ContinuityChapter 2.4 - The DerivativeChapter 2.5 - Basic Differentiation PropertiesChapter 2.6 - DifferentialsChapter 2.7 - Marginal Analysis In Business And EconomicsChapter 3 - Additional Derivative TopicsChapter 3.1 - The Constant E And Continuous Compound InterestChapter 3.2 - Derivatives Of Exponential And Logarithmic FunctionsChapter 3.3 - Derivatives Of Products And QuotientsChapter 3.4 - The Chain RuleChapter 3.5 - Implicit DifferentiationChapter 3.6 - Related RatesChapter 3.7 - Elasticity Of DemandChapter 4 - Graphing And OptimizationChapter 4.1 - First Derivative And GraphsChapter 4.2 - Second Derivative And GraphsChapter 4.3 - L'hôpital's RuleChapter 4.4 - Curve-sketching TechniquesChapter 4.5 - Absolute Maxima And MinimaChapter 4.6 - OptimizationChapter 5 - IntegrationChapter 5.1 - Antiderivatives And Indefinite IntegralsChapter 5.2 - Integration By SubstitutionChapter 5.3 - Differential Equations; Growth And DecayChapter 5.4 - The Definite IntegralChapter 5.5 - The Fundamental Theorem Of CalculusChapter 6 - Additional Integration TopicsChapter 6.1 - Areas Between CurvesChapter 6.2 - Application In Business And EconomicsChapter 6.3 - Integration By PartsChapter 6.4 - Other Integration MethodsChapter 7 - Multivariable CalculusChapter 7.1 - Functions Of Several VariablesChapter 7.2 - Partial DerivativesChapter 7.3 - Maxima And MinimaChapter 7.4 - Maxima And Minima Using Lagrange MultipliersChapter 7.5 - Method Of Least SquaresChapter 7.6 - Double Integrals Over Rectangular RegionsChapter 7.7 - Double Integrals Over More General RegionsChapter 8 - Trigonometric FunctionsChapter 8.1 - Right Triangle TrigonometryChapter 8.2 - Trigonometric FunctionsChapter 8.3 - Derivatives Of Trigonometric FunctionsChapter 8.4 - Integration Of Trigonometric FunctionsChapter 9 - Differential EquationsChapter 9.1 - Basic ConceptsChapter 9.2 - Separation Of VariablesChapter 9.3 - First-order Linear Differential EquationsChapter 10 - Taylor Polynomial And Infinite SeriesChapter 10.1 - Taylor PolynomialsChapter 10.2 - Taylor SeriesChapter 10.3 - Operations On Taylor SeriesChapter 10.4 - Approximations Using Taylor SeriesChapter 11 - Probability And CalculusChapter 11.1 - Improper IntegralsChapter 11.2 - Continuous Random VariablesChapter 11.3 - Expected Value, Standard Deviation, And MedianChapter 11.4 - Special Probability DistributionsChapter A.1 - Real NumbersChapter A.2 - Operations On PolynomialsChapter A.3 - Factoring PolynomialsChapter A.4 - Operations On Rational ExpressionsChapter A.5 - Integer Exponents And Scientific NotationChapter A.6 - Rational Exponents And RadicalsChapter A.7 - Quadratic EquationsChapter B.1 - Sequences, Series, And Summation NotationChapter B.2 - Arithmetic And Geometric SequencesChapter B.3 - Binomial TheoremChapter B.4 - Interpolating Polynomials And Divided Differences
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