Mathematical Excursions (MindTap Course List)
4th Edition
ISBN: 9781305965584
Author: Richard N. Aufmann, Joanne Lockwood, Richard D. Nation, Daniel K. Clegg
Publisher: Cengage Learning
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Chapter 9.1, Problem 40ES
To determine
To solve:
The given equation
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Evaluate the following integrals, showing all your working
Consider the function f(x) = 2x³-4x2-x+1.
(a) Without doing a sketch, show that the cubic equation has at least one solution on the interval
[0,1]. Use a theorem discussed in lectures, or see Section 1.8 of Calculus (7th ed) by Stewart.
Ensure that the conditions of the theorem are satisfied (include this in your solution)
(b) Now, by sketching the cubic (by hand or by computer), you should see that there is, in fact,
exactly one zero in the interval [0,1]. Use Newton's method to find this zero accurate to 3
decimal places. You should include a sketch of the cubic, Newton's iteration formula, and
the list of iterates. [Use a computer if possible, e.g., a spreadsheet or MatLab.]
Evaluate the following integrals, showing all your working
Chapter 9 Solutions
Mathematical Excursions (MindTap Course List)
Ch. 9.1 - Amy is 140 lb and 58 tall. Calculate Amys BMI....Ch. 9.1 - Roger is 511. How much should he weigh in order to...Ch. 9.1 - Prob. 3EECh. 9.1 - Felicia weighs 160 lb and is 57. She would like to...Ch. 9.1 - Finding BMI Using a Nomograph Most medical...Ch. 9.1 - Prob. 1ESCh. 9.1 - Prob. 2ESCh. 9.1 - Explain how to check the solution of an equation.Ch. 9.1 - Prob. 4ESCh. 9.1 - Prob. 5ES
Ch. 9.1 - Prob. 6ESCh. 9.1 - Prob. 7ESCh. 9.1 - Prob. 8ESCh. 9.1 - Solve the equation. 48=6zCh. 9.1 - Prob. 10ESCh. 9.1 - Prob. 11ESCh. 9.1 - Prob. 12ESCh. 9.1 - Solve the equation. x4=2Ch. 9.1 - Prob. 14ESCh. 9.1 - Prob. 15ESCh. 9.1 - Prob. 16ESCh. 9.1 - Solve the equation. 5x3=9x7Ch. 9.1 - Prob. 18ESCh. 9.1 - Prob. 19ESCh. 9.1 - Prob. 20ESCh. 9.1 - Prob. 21ESCh. 9.1 - Prob. 22ESCh. 9.1 - Solve the equation. 4b+15=32bCh. 9.1 - Prob. 24ESCh. 9.1 - Prob. 25ESCh. 9.1 - Prob. 26ESCh. 9.1 - Solve the equation. 5(32y)=34yCh. 9.1 - Prob. 28ESCh. 9.1 - Prob. 29ESCh. 9.1 - Prob. 30ESCh. 9.1 - Solve the equation. 4a+3=7(58a)Ch. 9.1 - Prob. 32ESCh. 9.1 - Prob. 33ESCh. 9.1 - Prob. 34ESCh. 9.1 - Solve the equation. 3(x4)=1(2x7)Ch. 9.1 - Solve the equation. 2y34=y61Ch. 9.1 - Solve the equation. x8+2=3x43Ch. 9.1 - Solve the equation. 2x33+12=56Ch. 9.1 - Solve the equation. 23+3x+14=53Ch. 9.1 - Prob. 40ESCh. 9.1 - Prob. 41ESCh. 9.1 - Car Payments The monthly car payment on a 60-month...Ch. 9.1 - Car Payments The monthly car payment on a 60-month...Ch. 9.1 - Deep-Sea Diving The pressure on a diver can be...Ch. 9.1 - Deep-Sea Diving The pressure on a diver can be...Ch. 9.1 - Prob. 46ESCh. 9.1 - Foot Races The world-record time for a 1-mile race...Ch. 9.1 - Black Ice Black ice is an ice covering on roads...Ch. 9.1 - Black Ice Black ice is a nice covering on roads...Ch. 9.1 - Crickets The formula N=7C30 approximates N, the...Ch. 9.1 - Crickets The formula N=7C30 approximates N, the...Ch. 9.1 - Prob. 52ESCh. 9.1 - Prob. 53ESCh. 9.1 - Prob. 54ESCh. 9.1 - Prob. 55ESCh. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Prob. 57ESCh. 9.1 - Prob. 58ESCh. 9.1 - Prob. 59ESCh. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Prob. 61ESCh. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Write an equation as part of solving the problem....Ch. 9.1 - Prob. 64ESCh. 9.1 - Prob. 65ESCh. 9.1 - Prob. 66ESCh. 9.1 - Prob. 67ESCh. 9.1 - Prob. 68ESCh. 9.1 - Prob. 69ESCh. 9.1 - Prob. 70ESCh. 9.1 - Prob. 71ESCh. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Prob. 73ESCh. 9.1 - Prob. 74ESCh. 9.1 - Prob. 75ESCh. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Solve the formula for the indicated variable....Ch. 9.1 - Prob. 79ESCh. 9.1 - Prob. 80ESCh. 9.1 - Prob. 81ESCh. 9.1 - Prob. 82ESCh. 9.1 - Prob. 83ESCh. 9.1 - Prob. 84ESCh. 9.1 - Prob. 85ESCh. 9.1 - Prob. 86ESCh. 9.1 - Prob. 87ESCh. 9.1 - Prob. 88ESCh. 9.1 - Prob. 89ESCh. 9.1 - Prob. 90ESCh. 9.1 - Prob. 91ESCh. 9.1 - Prob. 92ESCh. 9.1 - Prob. 93ESCh. 9.2 - In 1979, his rookie year, Jeff Reardon pitched 21...Ch. 9.2 - Prob. 2EECh. 9.2 - In 1987, Nolan Ryan had the lowest ERA of any...Ch. 9.2 - During the 2015 season, Jake Arrieta of the...Ch. 9.2 - Prob. 5EECh. 9.2 - Prob. 1ESCh. 9.2 - Prob. 2ESCh. 9.2 - Write the expression as a unit rate. 582mi in 12hCh. 9.2 - Write the expression as a unit rate. 138mi on 6...Ch. 9.2 - Write the expression as a unit rate. 544 words...Ch. 9.2 - Write the expression as a unit rate. 100m in 8sCh. 9.2 - Write the expression as a unit rate. 9100 for 350...Ch. 9.2 - Write the expression as a unit rate. 1000 ft2 of...Ch. 9.2 - Wages A machinist earns 682.50 for working a...Ch. 9.2 - Space Vehicles The Space Shuttles solid rocket...Ch. 9.2 - Photography During filming, an IMAX camera uses...Ch. 9.2 - Consumerism Which is the more economical purchase,...Ch. 9.2 - Consumerism Which is the more economical purchase,...Ch. 9.2 - Wages You have a choice of receiving a wage of...Ch. 9.2 - Baseball Baseball statisticians calculate a...Ch. 9.2 - Population Density The table below shows the...Ch. 9.2 - E-mail The Radicati Group compiled the following...Ch. 9.2 - Prob. 18ESCh. 9.2 - Prob. 19ESCh. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Exchange Rates The table below shows the exchange...Ch. 9.2 - Real Estate Dean Baker, co-director at the Center...Ch. 9.2 - Real Estate Dean Baker, co-director at the Center...Ch. 9.2 - Prob. 24ESCh. 9.2 - Prob. 25ESCh. 9.2 - Prob. 26ESCh. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Prob. 28ESCh. 9.2 - Prob. 29ESCh. 9.2 - Prob. 30ESCh. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Prob. 34ESCh. 9.2 - Prob. 35ESCh. 9.2 - Prob. 36ESCh. 9.2 - Solve the proportion. Round to the nearest...Ch. 9.2 - Prob. 38ESCh. 9.2 - A management consulting firm recommends that the...Ch. 9.2 - Medication The dosage of a cold medication is 2 mg...Ch. 9.2 - Fuel Consumption If your car can travel 70.5 mi on...Ch. 9.2 - The scale on the architectural plans for a new...Ch. 9.2 - Prob. 43ESCh. 9.2 - Art Leonardo da Vinci measured various distances...Ch. 9.2 - Art In one of Leonardo da Vincis notebooks, he...Ch. 9.2 - A pre-election survey showed that two out of every...Ch. 9.2 - One study estimated that in the U.S., the average...Ch. 9.2 - Prob. 48ESCh. 9.2 - Nutrition A pancake 4 in. in diameter contains 5 g...Ch. 9.2 - Prob. 50ESCh. 9.2 - Prob. 51ESCh. 9.2 - Prob. 52ESCh. 9.2 - The U.S. House of Representatives has a total of...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Use the 2015 Tax Rate Schedules to solve...Ch. 9.3 - Does a taxpayer in the 33 tax bracket pay 33 of...Ch. 9.3 - Prob. 6EECh. 9.3 - Name three situations in which percent is used.Ch. 9.3 - Multiplying a number by 300 is the same as...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - Complete the table of equivalent fractions,...Ch. 9.3 - e-Filed Tax Returns The IRS reported that as of...Ch. 9.3 - A credit card company offers an annual 2 cash-back...Ch. 9.3 - Charitable Contributions During a recent year,...Ch. 9.3 - Television A survey by the Boston Globe questioned...Ch. 9.3 - A survey of 1236 adults nation wide asked, What...Ch. 9.3 - Wind Energy In a recent year, wind machines in the...Ch. 9.3 - During 1 year. Approximately 2,240,000 oz of gold...Ch. 9.3 - The two circle graphs how surveyed employees...Ch. 9.3 - A TurboTax online survey asked people how they...Ch. 9.3 - Diabetes Approximately 9.3 of the American...Ch. 9.3 - Education Of the 78 million baby boomers living in...Ch. 9.3 - The number of Internet users worldwide went from...Ch. 9.3 - The graph below shows the projected growth of the...Ch. 9.3 - Auto Sales U.S. auto sales increased from 16.5...Ch. 9.3 - Cable TV In 2006. 65.4 million people subscribed...Ch. 9.3 - Consumption of Eggs During the last 50 years, the...Ch. 9.3 - Millionaire Households The following table shows...Ch. 9.3 - The graph below shows the number of active-duty...Ch. 9.3 - Your employer agrees to give you a 5 raise after 1...Ch. 9.3 - Prob. 32ESCh. 9.3 - Nielsen Ratings Nielsen Media Research surveys...Ch. 9.4 - Solve the equation and then check the solutions...Ch. 9.4 - Prob. 2EECh. 9.4 - Prob. 3EECh. 9.4 - Prob. 4EECh. 9.4 - Prob. 5EECh. 9.4 - Prob. 6EECh. 9.4 - Prob. 7EECh. 9.4 - Prob. 8EECh. 9.4 - Prob. 9EECh. 9.4 - Prob. 10EECh. 9.4 - Prob. 11EECh. 9.4 - Prob. 12EECh. 9.4 - Prob. 13EECh. 9.4 - Prob. 14EECh. 9.4 - Prob. 15EECh. 9.4 - Prob. 16EECh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 2ESCh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 5ESCh. 9.4 - Prob. 6ESCh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 12ESCh. 9.4 - Prob. 13ESCh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 16ESCh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 18ESCh. 9.4 - First try to solve the equation by factoring. If...Ch. 9.4 - Prob. 20ESCh. 9.4 - Prob. 21ESCh. 9.4 - Prob. 22ESCh. 9.4 - Prob. 23ESCh. 9.4 - Prob. 24ESCh. 9.4 - Prob. 25ESCh. 9.4 - Prob. 26ESCh. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Prob. 28ESCh. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Prob. 32ESCh. 9.4 - Prob. 33ESCh. 9.4 - Prob. 34ESCh. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Prob. 36ESCh. 9.4 - Prob. 37ESCh. 9.4 - Prob. 38ESCh. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Round answers to nearest hundredth where...Ch. 9.4 - Prob. 41ESCh. 9.4 - Prob. 42ESCh. 9.4 - Prob. 43ESCh. 9.4 - Prob. 44ESCh. 9.4 - Prob. 45ESCh. 9.4 - Prob. 46ESCh. 9.4 - Prob. 47ESCh. 9.4 - Prob. 48ESCh. 9.4 - Prob. 49ESCh. 9.4 - Prob. 50ESCh. 9 - Solve the equation. 5x+3=10x17Ch. 9 - Prob. 2RECh. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - Prob. 5RECh. 9 - Prob. 6RECh. 9 - Prob. 7RECh. 9 - Prob. 8RECh. 9 - Solve the formula for the given variable....Ch. 9 - Prob. 10RECh. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Chemistry A chemist mixes 100g of water at 80C...Ch. 9 - Telemarketing At a telemarketing firm, an employee...Ch. 9 - Prob. 15RECh. 9 - Prob. 16RECh. 9 - Social Media In July 2012, Instagram announced 80...Ch. 9 - City Populations The table below shows the...Ch. 9 - Prob. 19RECh. 9 - Prob. 20RECh. 9 - Gardening Three tablespoons of a liquid plant...Ch. 9 - Prob. 22RECh. 9 - Prob. 23RECh. 9 - Diet Americans consume 7 billion hot dogs from...Ch. 9 - Boston Marathon In the 2015 Boston Marathon,...Ch. 9 - Prob. 26RECh. 9 - Prob. 27RECh. 9 - Prob. 28RECh. 9 - Prob. 29RECh. 9 - Vacation Days In Italy, workers take an average of...Ch. 9 - Model Rockets A small rocket is shot from the edge...Ch. 9 - Prob. 32RECh. 9 - Prob. 1TCh. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Energy The cost of electricity in a certain city...Ch. 9 - Prob. 10TCh. 9 - Prob. 11TCh. 9 - Prob. 12TCh. 9 - Social Media In 2015, Twitter announced that they...Ch. 9 - Prob. 14TCh. 9 - Gardening The directions on a bag of plant food...Ch. 9 - Prob. 16TCh. 9 - Prob. 17TCh. 9 - Prob. 18TCh. 9 - Compact Disc Sales In 2005, the total number of...Ch. 9 - Prob. 20T
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