Math

CalculusApplied CalculusOil Imports from Mexico Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2009–2013 can be approximated by P ( t ) = 3.1 − 0.014 t million barrels ( 9 ≤ t ≤ 13 ) I ( t ) = 1.7 − 0.063 t million barrels ( 9 ≤ t ≤ 13 ) , wheret is time in years since the start of 2000. Graph the function I ( t ) / P ( t ) andits derivative. Is the graph of I ( t ) / P ( t ) concaveup or concave down? The concavity of I ( t ) / P ( t ) tellsyou that (A) the percentage of oil produced in Mexico that was exported to the United States was decreasing. (B) the percentage of oil produced in Mexico that was not exported to the United States was increasing. (C) the percentage of oil produced in Mexico that was exported to the United States was decreasing at a slower rate. (D) the percentage of oil produced in Mexico that was exported to the United States was decreasing at a faster rate.BuyFind*launch*

7th Edition

Waner + 1 other

Publisher: Cengage Learning,

ISBN: 9781337291248

Chapter 5.3, Problem 81E

Textbook Problem

**Oil Imports from Mexico** Daily oil production in Mexico and daily U.S. oil imports from Mexico during 2009–2013 can be approximated by

Graph the function

**(A)** the percentage of oil produced in Mexico that was exported to the United States was decreasing.

**(B)** the percentage of oil produced in Mexico that was not exported to the United States was increasing.

**(C)** the percentage of oil produced in Mexico that was exported to the United States was decreasing at a slower rate.

**(D)** the percentage of oil produced in Mexico that was exported to the United States was decreasing at a faster rate.

Applied Calculus

Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...

Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 112, locate and classify all extrema...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 13-44, find the exact location of all...Ch. 5.1 - In Exercises 4548, use graphing technology and the...Ch. 5.1 - In Exercises 4548, use graphing technology and the...Ch. 5.1 - In Exercises 4548, use graphing technology and the...Ch. 5.1 - In Exercises 4548, use graphing technology and the...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - In Exercises 4956 the graph of the derivative of a...Ch. 5.1 - Draw the graph of a function f with domain the set...Ch. 5.1 - Draw the graph of a function g with domain the set...Ch. 5.1 - Draw the graph of a function that has stationary...Ch. 5.1 - Draw the graph of a function that has relative,...Ch. 5.1 - If a stationary point is not a relative maximum,...Ch. 5.1 - If one endpoint is a relative maximum, must the...Ch. 5.1 - We said that if f is continuous on a closed...Ch. 5.1 - Refer to Exercise 63. Draw the graph of a function...Ch. 5.1 - Must endpoints always be extrema? 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If we...Ch. 5.2 - Research and Development Spending on research and...Ch. 5.2 - Research and Development (Refer to Exercise 55.)...Ch. 5.2 - Asset Appreciation As the financial consultant to...Ch. 5.2 - Plantation Management The value of a fir tree in...Ch. 5.2 - Marketing Strategy FeatureRich Software Company...Ch. 5.2 - Marketing Strategy FeatureRich Softwares main...Ch. 5.2 - Average Profit The FeatureRich Software Company...Ch. 5.2 - Average Profit Repeat Exercise 61 with the charge...Ch. 5.2 - Resource Allocation Your company manufactures...Ch. 5.2 - Resource Allocation Your company is the largest...Ch. 5.2 - Resource Allocation Your automobile assembly plant...Ch. 5.2 - Resource Allocation Repeat Exercise 65 using the...Ch. 5.2 - Incarceration Rate The incarceration rate (the...Ch. 5.2 - Prison Population The prison population in the...Ch. 5.2 - Embryo Development The oxygen consumption of a...Ch. 5.2 - Embryo Development The oxygen consumption of a...Ch. 5.2 - Subprime Mortgages during the Housing Bubble...Ch. 5.2 - Subprime Mortgage Debt during the Housing Bubble...Ch. 5.2 - Asset Appreciation You manage a small antique...Ch. 5.2 - Harvesting Forests The following equation models...Ch. 5.2 - Agriculture The fruit yield per tree in an orchard...Ch. 5.2 - Agriculture Two years ago, your orange orchard...Ch. 5.2 - Revenue (based on a question the GRE Economics...Ch. 5.2 - Revenue (based on a question on the GRE Economics...Ch. 5.2 - You are interested in knowing the height of the...Ch. 5.2 - You are interested in building a condominium...Ch. 5.2 - Explain why the following problem is...Ch. 5.2 - Explain why finding the production level that...Ch. 5.2 - Your friend Margo claims that all you have to do...Ch. 5.2 - Your friend Margo claims that all you have to do...Ch. 5.2 - If demand q decreases as price p increases, what...Ch. 5.2 - Explain how you would solve an optimization...Ch. 5.3 - In Exercises 1-10, calculate d2ydx2. 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M. Scherer...Ch. 5.3 - Returns on Investments A company finds that the...Ch. 5.3 - Oil Imports from Mexico Daily oil production in...Ch. 5.3 - Oil Imports from Mexico Repeat Exercises 81 using...Ch. 5.3 - Logistic Models Let f(x)=N1+Abx For constants N,...Ch. 5.3 - Logistic Models Let f(x)=N1+Aekx For constants N,...Ch. 5.3 - Population: Puerto Rico The population of Puerto...Ch. 5.3 - Population: Virgin Islands The population of...Ch. 5.3 - Asset Appreciation You manage a small antique...Ch. 5.3 - Harvesting Forests The following equation models...Ch. 5.3 - Asset Appreciation As the financial consultant to...Ch. 5.3 - Plantation Management The value of a fir tree in...Ch. 5.3 - Complete the following: If the graph of a function...Ch. 5.3 - Complete the following: If the graph of a function...Ch. 5.3 - Daily sales of Kents Tents reached a maximum in...Ch. 5.3 - The graph of daily sales of Luddingtons Wellington...Ch. 5.3 - Company As profits satisfy P(0)=1 million P(0)=1...Ch. 5.3 - Company Cs profits satisfy P(0)=1 million, P;(0)=1...Ch. 5.3 - 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End of the Earth In 5 billion years the Sun will...Ch. 5.4 - Loss of Odyssia The following graph shows the...Ch. 5.4 - Consumer Price Index The following graph shows the...Ch. 5.4 - Consumer Price Index The following graph shows the...Ch. 5.4 - Motion in a Straight Line The distance of a UFO...Ch. 5.4 - Motion in a Straight Line The distance of The Mars...Ch. 5.4 - Average Cost: iPhone Assume that is costs Apple...Ch. 5.4 - Average Cost: PlayStation 4s Assume that it costs...Ch. 5.4 - Subprime Mortgages during the Housing Bubble...Ch. 5.4 - Subprime Mortgage Debt during the Housing Bubble...Ch. 5.4 - A function is bounded if its entire graph lies...Ch. 5.4 - A function is bounded above if its entire graph...Ch. 5.4 - If the graph of a function has a vertical...Ch. 5.4 - If the graph of a function has a horizontal...Ch. 5.4 - Your friend tells you that he has found a...Ch. 5.4 - Your other friend tells you that she has found a...Ch. 5.4 - By thinking about extrema, show that, if f(x) isa...Ch. 5.4 - If f(x) isa polynomial of degree 2 or higher, show...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Rewrite the statements and questions in Exercises...Ch. 5.5 - Sunspots The area of a circular sunspot is growing...Ch. 5.5 - Puddles The radius of a circular puddle is growing...Ch. 5.5 - Balloons A spherical party balloon is being...Ch. 5.5 - More Balloons A rather flimsy spherical balloon is...Ch. 5.5 - End of the Earth In 5 billion years the Sun will...Ch. 5.5 - End of Venus (Refer to Exercise 13.) When the Sun...Ch. 5.5 - Sliding Ladders The base of a 50-foot ladder is...Ch. 5.5 - Sliding Ladders The top of a 5-foot ladder is...Ch. 5.5 - Rising Rocket You are situated 600 meters from the...Ch. 5.5 - Descending Elevator You are situated 300 feet from...Ch. 5.5 - Average Cost The average cost function for the...Ch. 5.5 - Average Cost Repeat Exercise 19, using the revised...Ch. 5.5 - Demand Demand for your tie-dyed T-shirts is given...Ch. 5.5 - Supply The number of retro portable CD players you...Ch. 5.5 - Revenue You can now sell 50 cups of lemonade per...Ch. 5.5 - Revenue You can now sell 40 cars per month at...Ch. 5.5 - Oil Revenues Daily oil production by Pemex,...Ch. 5.5 - Oil Expenditures Daily oil imports to the United...Ch. 5.5 - Resource Allocation Your company manufactures...Ch. 5.5 - Resource Allocation Your company is the largest...Ch. 5.5 - Production The automobile assembly plant you...Ch. 5.5 - Production Refer back to the Cobb-Douglas...Ch. 5.5 - Demand Assume that the demand equation for tuna in...Ch. 5.5 - Demand The demand equation for rubies at Royal...Ch. 5.5 - Ships Sailing Apart The H.M.S. Dreadnaught is 40...Ch. 5.5 - Near Miss My aunt and I were approaching the same...Ch. 5.5 - Baseball A baseball diamond is a square with side...Ch. 5.5 - Baseball Refer to Exercise 35. Another player is...Ch. 5.5 - Movement along a Graph A point on the graph of...Ch. 5.5 - Motion around a Circle A point is moving along the...Ch. 5.5 - Education In 1991 the expected income of an...Ch. 5.5 - Education Refer back to the model in Exercise 39....Ch. 5.5 - Employment An employment research company...Ch. 5.5 - Grades A production formula for a students...Ch. 5.5 - Cones A right circular conical vessel is being...Ch. 5.5 - More Cones A circular conical vessel is being...Ch. 5.5 - Cylinders The volume of paint in a right...Ch. 5.5 - Cylinders A cylindrical bucket is being filled...Ch. 5.5 - Computers vs. Income In the 1990s the demand for...Ch. 5.5 - Computers vs. Income Refer back to the model in...Ch. 5.5 - Education and Crime The following graph compares...Ch. 5.5 - Education and Crime The following graph compares...Ch. 5.5 - Divorce Rates A study found that the divorce rate...Ch. 5.5 - Divorce Rates A study found that the divorce rate...Ch. 5.5 - Why is this section titled Related Rates?Ch. 5.5 - If you know how fast one quantity is changing and...Ch. 5.5 - In a related rates problem there is no limit to...Ch. 5.5 - If three quantities are related by a single...Ch. 5.5 - The demand and unit price for your stores...Ch. 5.5 - The number N of employees and the total floor...Ch. 5.5 - In solving a related rates problem a key step is...Ch. 5.5 - On a recent exam you were given a related rates...Ch. 5.5 - Transform the following into a mathematical...Ch. 5.5 - If two quantities x and y are related by a linear...Ch. 5.6 - Demand for Oranges The weekly sales of Honolulu...Ch. 5.6 - Demand for Oranges Repeat Exercise 1 for weekly...Ch. 5.6 - Demand for Smartphones Worldwide annual sales of...Ch. 5.6 - Projected Revenue: Smartphones Worldwide annual...Ch. 5.6 - College Tuition An old study of about 1,800 U.S....Ch. 5.6 - Monorail Services The demand for monorail service...Ch. 5.6 - Tissues The consumer demand equation for tissues...Ch. 5.6 - Bodybuilding The consumer demand curve for...Ch. 5.6 - T-Shirts The Physics Club sells E=mc2 T-shirts at...Ch. 5.6 - Comics The demand curve for original Iguanawoman...Ch. 5.6 - E-Readers The demand for Amazons Kindle e-reader...Ch. 5.6 - Monorail Service on Mars The demand for monorail...Ch. 5.6 - Corn In the 1930s the economist Henry Schultz...Ch. 5.6 - Demand for Fried Chicken A fried chicken franchise...Ch. 5.6 - Paint-By-Number The estimated monthly sales of...Ch. 5.6 - Paint-By-Number Repeat Exercise 15 using the...Ch. 5.6 - Linear Demand Functions A general linear demand...Ch. 5.6 - Exponential Demand Functions A general exponential...Ch. 5.6 - Hyperbolic Demand Functions A general hyperbolic...Ch. 5.6 - Quadratic Demand Functions A general quadratic...Ch. 5.6 - Modeling Linear Demand You have been hired as a...Ch. 5.6 - Modeling Linear Demand You have been hired as a...Ch. 5.6 - Modeling Exponential Demand As the new owner of a...Ch. 5.6 - Modeling Exponential Demand Repeat Exercise 23,...Ch. 5.6 - Income Elasticity of Demand: Live Drama The...Ch. 5.6 - Income Elasticity of Demand: Live Concerts The...Ch. 5.6 - Income Elasticity of Demand: Broadband in 2010 The...Ch. 5.6 - Income Elasticity of Demand: Broadband in 2007 The...Ch. 5.6 - Income Elasticity of Demand: Computer Usage in the...Ch. 5.6 - Income Elasticity of Demand: Internet Usage in the...Ch. 5.6 - Price Elasticity of Supply Given a supply equation...Ch. 5.6 - Price Elasticity of Supply Given a supply equation...Ch. 5.6 - Income Elasticity of Demand (based on a question...Ch. 5.6 - College Tuition (from the GRE Economics Test) A...Ch. 5.6 - Complete the following: When demand is inelastic,...Ch. 5.6 - Complete the following: When demand has unit...Ch. 5.6 - Given that the demand q is a differentiable...Ch. 5.6 - Given that the demand q is a differentiable...Ch. 5.6 - Your calculus study group is discussing price...Ch. 5.6 - Another member of your study group claims that...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 18, find all the relative and...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 912, find the approximate...Ch. 5 - In Exercises 13 and 14, f is continuous on [3,3],...Ch. 5 - In Exercises 13 and 14, f is continuous on [3,3],...Ch. 5 - In Exercises 15 and 16 the position s of a point...Ch. 5 - In Exercises 15 and 16 the position s of a point...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - In Exercises 1722, sketch the graph of the given...Ch. 5 - Revenue Demand for the latest best-seller at...Ch. 5 - Revenue Demand for The Secret Loves of John O, a...Ch. 5 - Profit Taking into account storage and shipping,...Ch. 5 - Profit Taking into account storage and shipping,...Ch. 5 - Office Space Although still a sophomore at...Ch. 5 - Recreation Space As a result of complaints by the...Ch. 5 - Box Design The sales department at...Ch. 5 - Box Redesign The sales department at...Ch. 5 - Sales OHaganBooks.com modeled its weekly sales...Ch. 5 - Sales The quarterly sales of OHagan oPods...Ch. 5 - Chance Encounter Marjory Duffin is walking north...Ch. 5 - Company Logos OHaganBooks.coms website has an ani-...Ch. 5 - Elasticity of Demand (Compare Exercise 23.) Demand...Ch. 5 - Elasticity of Demand (Compare Exercise 24.) Demand...Ch. 5 - Elasticity of Demand Last year OHaganBooks.com...Ch. 5 - Elasticity of Demand JungleBooks.com (one of...

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