Finite Mathematics and Applied Calculus (MindTap Course List)
7th Edition
ISBN: 9781337274203
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 4.3, Problem 54E
To determine
If the condition forms a linear equation in
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Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t
represents the number of minutes since the spill was first observed.
Radius (feet)
80
70
60
50
40
30
20
10
0
r
0 10 20 30 40 50 60 70 80 90
Time (minutes)
(a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π.
square feet
(b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a
function of the radius of the spill, r. Use a lower case k as the proportionality constant.
C(r) =
(c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to
increase from 20 feet to 60 feet?
r(60) - r(20)
Or¹(80-30)
r(80) - r(30)
r-1(80) - r−1(30)
r-1(60) - r¹(20)
6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with
corresponding ordered pairs and label the asymptote with its equation. Write the domain and range of the function
in interval notation. Make your graph big enough to see all important features.
Find the average value gave of the function g on the given interval.
gave =
g(x) = 8√√x, [8,64]
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Chapter 4 Solutions
Finite Mathematics and Applied Calculus (MindTap Course List)
Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - In Exercises 1-6, find three different particular...Ch. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - In Exercises 7-20, find all solutions of the given...
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - Prob. 15ECh. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercises 7-20, find all solutions of the given...Ch. 4.1 - Prob. 20ECh. 4.1 - Prob. 21ECh. 4.1 - In Exercises 21-30, use technol.ogy to obtain...Ch. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - In Exercises 31-38, translate the given statement...Ch. 4.1 - In Exercises 31-38, translate the given statement...Ch. 4.1 - In Exercises 31-38, translate the given statement...Ch. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Resource Allocation You manage an ice cream...Ch. 4.1 - Class Scheduling Enormous State Universitys Math...Ch. 4.1 - Nutrition Gerber Products' Gerber Mixed Cereal for...Ch. 4.1 - Nutrition Anthony Altino is mixing food for his...Ch. 4.1 - Nutrition One serving of Campbell Soup Companys...Ch. 4.1 - Nutrition One serving of Campbell Soup Companys...Ch. 4.1 - Protein Supplements Exercises 45-48 are based on...Ch. 4.1 - Prob. 46ECh. 4.1 - Prob. 47ECh. 4.1 - Protein Supplements Exercises 45-48 are based on...Ch. 4.1 - Investments: Tech Stocks In December 2014, Twitter...Ch. 4.1 - Investments: Energy Stocks In the 3-rnonth period...Ch. 4.1 - Investments: Financial Stocks During the first...Ch. 4.1 - Investments: High Dividend Stocks During the first...Ch. 4.1 - Voting An appropriations bill passed the U.S....Ch. 4.1 - Voting The U.S. Senate has 100 members. For a bill...Ch. 4.1 - Prob. 55ECh. 4.1 - Law Five years ago, Enormous State Universitys...Ch. 4.1 - Purchasing (from the GMAT) Elena purchased Brand X...Ch. 4.1 - Purchasing (based on a question from the GMAT)...Ch. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Supply and Demand (from the GRE Economics Test) In...Ch. 4.1 - Equilibrium Price In June 2001 the retail price of...Ch. 4.1 - Equilibrium Price At the start of December 2001...Ch. 4.1 - Pollution Joe Slo, a college sophomore, neglected...Ch. 4.1 - Diet The local sushi bar serves 1-ounce pieces of...Ch. 4.1 - Prob. 67ECh. 4.1 - Publishing (from the GMAT) There were 36,000...Ch. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Both the supply and demand equations for a certain...Ch. 4.1 - Prob. 72ECh. 4.1 - Prob. 73ECh. 4.1 - Prob. 74ECh. 4.1 - Prob. 75ECh. 4.1 - Select one: If the addition or subtraction of two...Ch. 4.1 - Prob. 77ECh. 4.1 - Prob. 78ECh. 4.1 - Prob. 79ECh. 4.1 - Prob. 80ECh. 4.1 - Prob. 81ECh. 4.1 - Prob. 82ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 3ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 11ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - Prob. 15ECh. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 21ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - In Exercises 1-42, use Gauss-Jordan row reduction...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - In Exercises 43-46, use technology to solve the...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Prob. 54ECh. 4.2 - Prob. 55ECh. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.3 - Resource Allocation You manage an ice cream...Ch. 4.3 - Resource Allocation You own a hamburger franchise...Ch. 4.3 - Resource Allocation Urban Community College is...Ch. 4.3 - Resource Allocation The Enormous State University...Ch. 4.3 - Latin Music Sales (Digital) In 2013, total...Ch. 4.3 - Latin Music Sales (Digital) In 2012, total...Ch. 4.3 - Purchasing Aircraft In Example 2 we saw that...Ch. 4.3 - Purchasing Aircraft Refer to Exercise 7. Rene...Ch. 4.3 - Supply A bagel store orders cream cheese from...Ch. 4.3 - Supply Refer to Exercise 9. The bagel store's...Ch. 4.3 - Pest Control Halmar the Great has boasted to his...Ch. 4.3 - Manufacturing Perfume The Fancy French Perfume...Ch. 4.3 - Donations The Enormous State University Good Works...Ch. 4.3 - Tenure Professor Walt is up for tenure and wishes...Ch. 4.3 - Airline Costs Exercises 15and16 are based on the...Ch. 4.3 - Airline Costs Exercises 15and16 are based on the...Ch. 4.3 - Investing: Inverse Mutual Funds Inverse mutual...Ch. 4.3 - Investing: Inverse Mutual Funds Inverse mutual...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 19 and 20...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 19 and 20...Ch. 4.3 - Internet Audience At the end of 2003 the four...Ch. 4.3 - Internet Audience At the end of 2003 the four...Ch. 4.3 - Market Share: Homeowners Insurance Three market...Ch. 4.3 - Prob. 24ECh. 4.3 - Inventory Control Red Bookstore wants to ship...Ch. 4.3 - Prob. 26ECh. 4.3 - Prob. 27ECh. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Tobacco The following table shows some data from...Ch. 4.3 - Traffic Flow One-way traffic through Enormous...Ch. 4.3 - Traffic Flow The traffic through downtown East...Ch. 4.3 - Traffic Flow The traffic through downtown...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Electric Current Electric current measures (in...Ch. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Voting In the 75th Congress (1937-1939) the U.S....Ch. 4.3 - Voting In the 75th Congress (1937-1939) there were...Ch. 4.3 - Prob. 47ECh. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Prob. 50ECh. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Prob. 53ECh. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4 - In Exercises 16, graph the given equations and...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Exercises 1922 are based on the following equation...Ch. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - In Exercises 2328, let x, y, z, and w represent...Ch. 4 - In Exercises 2328, let x, y, z, and w represent...Ch. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - In Exercises 2328, let x, y, z, and w represent...Ch. 4 - Purchasing You are the buyer for OHaganBooks.com...Ch. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Equilibrium OHaganBooks.com CEO John OHagan...Ch. 4 - Feeding Schedules Billy-Sean OHagan is John...Ch. 4 - Prob. 36RECh. 4 - Website Traffic OHaganBooks.com has two principal...Ch. 4 - Sales As the buyer at OHaganBooks.com, you are...Ch. 4 - Prob. 39RECh. 4 - Initial Public Offerings (IPOs) Duffin House,...Ch. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Network Traffic All book orders received at the...Ch. 4 - Prob. 44RECh. 4 - Shipping On the same day that the sales department...Ch. 4 - Transportation Scheduling Duffin House is about to...
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