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 29E
(a)
To determine
To calculate: The missing data and four linear equations from the given data
| Used Alcohol | Alcohol Free | Totals | |
| U.S | |||
| Europe | |||
| Totals |
(b)
To determine
To calculate: The missing data. If the number of US
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(7) (12 points) Let F(x, y, z) = (y, x+z cos yz, y cos yz).
Ꮖ
(a) (4 points) Show that V x F = 0.
(b) (4 points) Find a potential f for the vector field F.
(c) (4 points) Let S be a surface in R3 for which the Stokes' Theorem is valid. Use
Stokes' Theorem to calculate the line integral
Jos
F.ds;
as denotes the boundary of S. Explain your answer.
(3) (16 points) Consider
z = uv,
u = x+y,
v=x-y.
(a) (4 points) Express z in the form z = fog where g: R² R² and f: R² →
R.
(b) (4 points) Use the chain rule to calculate Vz = (2, 2). Show all intermediate
steps otherwise no credit.
(c) (4 points) Let S be the surface parametrized by
T(x, y) = (x, y, ƒ (g(x, y))
(x, y) = R².
Give a parametric description of the tangent plane to S at the point p = T(x, y).
(d) (4 points) Calculate the second Taylor polynomial Q(x, y) (i.e. the quadratic
approximation) of F = (fog) at a point (a, b). Verify that
Q(x,y) F(a+x,b+y).
=
(6) (8 points) Change the order of integration and evaluate
(z +4ry)drdy .
So S√ ²
0
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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