
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
12th Edition
ISBN: 9780137442966
Author: Larry Goldstein, David Schneider
Publisher: PEARSON+
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7, Problem 12FCCE
To determine
The meaning of the
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Can you show me a step by step explanation please.
2. A tank with a capacity of 650 gal. originally contains 200 gal of water with 100 lb. of salt in
solution. Water containing 1 lb. of salt per gallon is entering at a rate of 4 gal/min, and the
mixture is allowed to flow out of the tank at a rate of 3 gal/min.
a. Find the amount of salt in the tank at any time prior to the instant when the tank
begins to overflow (650 gallons).
b. Find the concentration (in pounds per gallon) of salt in the tank when the tank hits
400 gallons.
D.E. for mixture problems:
dv
dt=11-12
dA
A(t)
dt
- Suppose that you have the differential equation:
dy
= (y - 2) (y+3)
dx
a. What are the equilibrium solutions for the differential equation?
b. Where is the differential equation increasing or decreasing? Show how you know.
Showing them on the drawing is not enough.
c. Where are the changes in concavity for the differential equation? Show how you
know. Showing them on the drawing is not enough.
d. Consider the slope field for the differential equation. Draw solution curves given the
following initial conditions:
i. y(0) = -5
ii. y(0) = -1
iii. y(0) = 2
Chapter 7 Solutions
Pearson eText for Finite Mathematics & Its Applications -- Instant Access (Pearson+)
Ch. 7.1 - Suppose that a list consists of 17 numbers in...Ch. 7.1 - Prob. 2CYUCh. 7.1 - Prob. 3CYUCh. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - In Exercise 1–4, display the data in a bar chart...Ch. 7.1 - 5. School Enrollments Display the data from the...Ch. 7.1 - 6. U.S. Defense Employees Display the data from...Ch. 7.1 - 7. Interest on Public Debt In 2015, the interest...
Ch. 7.1 - 8. U.S. Defense Employees Display the data from...Ch. 7.1 - Great Lakes Display the data from the table in...Ch. 7.1 - Bachelors Degrees Display the data from the table...Ch. 7.1 - Freshman Aspirations Exercises 11 and 12 refer to...Ch. 7.1 - Freshman Aspirations Exercises 11 and 12 refer to...Ch. 7.1 - 13. Vice Presidential Tie Breakers The number of...Ch. 7.1 - 14. Presidential Ages The ages at inauguration of...Ch. 7.1 - Quiz Scores The bar charts in Exercises 15 and 16...Ch. 7.1 - Quiz Scores The bar charts in Exercises 15 and 16...Ch. 7.1 - In Exercises 17 and 18, draw the box plot...Ch. 7.1 - In Exercises 17 and 18, draw the box plot...Ch. 7.1 - In Exercises 19–22, find the five-number summary...Ch. 7.1 - In Exercises 1922, find the five-number summary...Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - 23. Match each of the histograms in column I with...Ch. 7.1 - Food Cost The box plot for the price (in cents) of...Ch. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Batting Averages On April 16, 2016, the Toronto...Ch. 7.1 - In Exercises 28–31, use technology to produce...Ch. 7.1 - Prob. 29ECh. 7.1 - Prob. 30ECh. 7.1 - In Exercises 28–31, use technology to produce...Ch. 7.2 - 1. Carnival Game In a certain carnival game, a...Ch. 7.2 - Carnival Game Refer to the carnival game of...Ch. 7.2 - 1. Final Grades Table 11 gives the frequency...Ch. 7.2 - 2. Gas Queue The number of cars waiting to be...Ch. 7.2 - Weather Reports A local news website counted the...Ch. 7.2 - Production Level A production manager counted the...Ch. 7.2 - Coin Tosses A fair coin is tossed three times, and...Ch. 7.2 - 6. Archery An archer can hit the bull’s-eye of the...Ch. 7.2 - 7. Selecting Balls from an Urn An urn contains...Ch. 7.2 - 8. Rolling a Die A die is rolled, and the number...Ch. 7.2 - Carnival Game In a certain carnival game, the...Ch. 7.2 - 10. Carnival Game In a certain carnival game, a...Ch. 7.2 - 11. Figure 9 is the histogram for a probability...Ch. 7.2 - Figure 10 on the next page is the histogram for a...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - Let the random variables X and Y have the...Ch. 7.2 - 21. Grade Distributions Two classes take the same...Ch. 7.2 - 22. Grade Distributions Use Table 16 to answer the...Ch. 7.2 - Exercises 23–26 refer to the tables and relative...Ch. 7.2 - Exercises 2326 refer to the tables and relative...Ch. 7.2 - Exercises 2326 refer to the tables and relative...Ch. 7.2 - Exercises 23–26 refer to the tables and relative...Ch. 7.2 - 27. Table 17 gives the probability distribution of...Ch. 7.2 - Table 18 gives the probability distribution of the...Ch. 7.2 - Table 19 gives the probability distribution of the...Ch. 7.2 - Prob. 30ECh. 7.3 - A number is selected at random from the numbers 0...Ch. 7.3 - 2. If the experiment in Problem 1 is repeated 20...Ch. 7.3 - Prob. 3CYUCh. 7.3 - In Exercises 14, calculate (kn)pkqnk for the given...Ch. 7.3 - In Exercises 1–4, calculate for the given values...Ch. 7.3 - In Exercises 14, calculate (kn)pkqnk for the given...Ch. 7.3 - In Exercises 1–4, calculate for the given values...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Coin Tosses A coin is tossed 10 times. In...Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Rolling a Die A single die is rolled four times....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Twenty-Somethings Fourteen percent of U.S....Ch. 7.3 - Career Training According to the study The...Ch. 7.3 - Prob. 24ECh. 7.3 - Career Training According to the study The...Ch. 7.3 - Career Training According to the study The...Ch. 7.3 - 27. Children A family chosen at random has four...Ch. 7.3 - 28. New Employees A manager at a call center...Ch. 7.3 - College Acceptances Exercises 29 and 30 refer to...Ch. 7.3 - Prob. 30ECh. 7.3 - Prob. 31ECh. 7.3 - Veterinary Medicine Exercises 31 and 32 refer to...Ch. 7.3 - Car Sales An automotive salesman determines that...Ch. 7.3 - 34. Insurance Claims A homeowner’s insurance...Ch. 7.3 - Coin Tosses When a coin is tossed 100 times, the...Ch. 7.3 - Rolling Dice When a die is rolled 10 times, the...Ch. 7.3 - Figure 6 shows the histogram for a binomial random...Ch. 7.3 - 38. Figure 7 shows the histogram for a binomial...Ch. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.3 - Centenarians The probability that a 20-year-old...Ch. 7.3 - 42. Left-handedness Ten percent of the population...Ch. 7.3 - 43. Drug Reaction Suppose that the probability of...Ch. 7.3 - Prob. 44ECh. 7.3 - Voter Polling Suppose that 60% of the voters in a...Ch. 7.3 - Jury Verdict A jury has 12 jurors. A vote of at...Ch. 7.3 - Quality Control Three percent of the circuit...Ch. 7.3 - Quality Control Refer to Example 1. What is the...Ch. 7.3 - Genetics Every offspring inherits a gene for hair...Ch. 7.3 - Theft of Gold A small country owns 10,000 gold...Ch. 7.3 - Prob. 51ECh. 7.3 - 52. Basketball A basketball player makes free...Ch. 7.3 - Basketball A basketball player makes 82% of her...Ch. 7.3 - 54. Darts The probability is .64 that a dartist...Ch. 7.3 - Tennis A single match at the mens U.S. Open...Ch. 7.3 - 56. Baseball The World Series consists of a...Ch. 7.3 - Prob. 57ECh. 7.3 - Prob. 58ECh. 7.3 - Prob. 59ECh. 7.3 - Prob. 60ECh. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Prob. 63ECh. 7.3 - Prob. 64ECh. 7.3 - Prob. 66ECh. 7.3 - Prob. 67ECh. 7.3 - 68. Calculate the probability of between 45 and 55...Ch. 7.3 - Prob. 69ECh. 7.4 - Life Insurance A 74-year-old man pays $1000 for a...Ch. 7.4 - Prob. 2CYUCh. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - In Exercises 1–4, determine whether the quantity...Ch. 7.4 - In Exercises 14, determine whether the quantity...Ch. 7.4 - Find the expected value for the probability...Ch. 7.4 - Find the expected value for the probability...Ch. 7.4 - Grades A college student received the following...Ch. 7.4 - Gymnastic Scores An Olympic gymnast received the...Ch. 7.4 - 9. Comparing Toothpastes Table 12 gives the...Ch. 7.4 - 10. Investments Table 13 gives the possible...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 11–14, find the expected value for...Ch. 7.4 - In Exercises 1114, find the expected value for the...Ch. 7.4 - Roulette In American roulette, a bettor may place...Ch. 7.4 - 16. Roulette In American roulette, a dollar may be...Ch. 7.4 - Carnival Game In a carnival game, the player...Ch. 7.4 - Carnival Game In a carnival game, the player...Ch. 7.4 - 19. Life Insurance Using life insurance tables, a...Ch. 7.4 - Life Insurance Using life insurance tables, a...Ch. 7.4 - 21. Batting Averages Five members of a baseball...Ch. 7.4 - 22. Exam Scores Three members of a study group...Ch. 7.4 - Dice A pair of dice is rolled, and the larger of...Ch. 7.4 - Dice A pair of dice is rolled, and the smaller of...Ch. 7.4 - Chuck-a-Luck Redo Example 6, where the player wins...Ch. 7.4 - 26. Chuck-a-Luck Consider Example 6 with six...Ch. 7.4 - Bachelors Degrees According to the National Center...Ch. 7.4 - 28. Faculty Degrees According to the American...Ch. 7.4 - 29. Rolling a Die A die is rolled 30 times. What...Ch. 7.4 - Baseball Ted is a consistent .275 hitter. How many...Ch. 7.4 - Basketball A basketball player makes 40% of their...Ch. 7.4 - 32. Binomial Trials What is the probability of...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Exercises 3336 require the use of counting...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Exercises 33–36 require the use of counting...Ch. 7.4 - Rain Insurance The promoter of a football game is...Ch. 7.4 - Theft Insurance Bob wishes to insure a priceless...Ch. 7.4 - Ticket Sales Last weekend, a movie theater sold x...Ch. 7.4 - 40. Candle Sales A store sold an average...Ch. 7.4 - 41. Weather The average daily temperature during...Ch. 7.4 - Grades Jos wants to earn a 90% overall average in...Ch. 7.4 - 43. Mean If 5, 6, and x have the same average as...Ch. 7.4 - Game of Chance Table 14 gives the probability...Ch. 7.4 - 45. Factory Production An assembly line produces...Ch. 7.4 - 46. Weekly Revenue A small business had an average...Ch. 7.4 - 47. Truck Capacity A truck can carry a maximum of...Ch. 7.4 - Magazine Sales Half of the magazines at a...Ch. 7.5 - 1. (a) Compute the variance of the probability...Ch. 7.5 - 2. Refer to the probability distribution in Table...Ch. 7.5 - 1. Compute the variance of the probability...Ch. 7.5 - 2. Compute the variance of the probability...Ch. 7.5 - Determine by inspection which one of the...Ch. 7.5 - Determine by inspection which one of the...Ch. 7.5 - 5. Investment Returns Table 7 gives the...Ch. 7.5 - Golf Scores Two golfers recorded their scores for...Ch. 7.5 - Weekly Sales Table 8 gives the relative frequency...Ch. 7.5 - Course Grades Student A received the following...Ch. 7.5 - Coin Tosses Suppose that a coin is tossed 10...Ch. 7.5 - 10. Dice Suppose that a pair of dice is rolled 720...Ch. 7.5 - 11. Quality Control A manufacturer produces smart...Ch. 7.5 - 12. Basketball A basketball player makes each free...Ch. 7.5 - Chebychev Inequality Suppose that a probability...Ch. 7.5 - Chebychev Inequality Suppose that a probability...Ch. 7.5 - 15. Bulb Lifetimes For certain types of...Ch. 7.5 - 16. Quality Control An electronics firm determines...Ch. 7.5 - Prob. 17ECh. 7.5 - 18. Chebychev Inequality Suppose that a...Ch. 7.5 - Dice The probability distribution for the sum of...Ch. 7.5 - Dice The probability distribution, rounded to the...Ch. 7.5 - Variance Use the alternative formula for variance...Ch. 7.5 - 22. If X is a random variable, then the variance...Ch. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - 25. College Enrollments Table 12 gives the fall...Ch. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.6 - Refer to Fig. 35(a). Find the value of z for which...Ch. 7.6 - Refer to the normal curve in Fig. 35(b). Express...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for (Table 2) to...Ch. 7.6 - In Exercises 1-8, use the table for A(z) (Table 2)...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - In Exercises 9-12, find the value of z for which...Ch. 7.6 - What is the 80th percentile of the standard normal...Ch. 7.6 - What is the 40th percentile of the standard normal...Ch. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Exercises 1922 refer to the normal curve with...Ch. 7.6 - Exercises 19–22 refer to the normal curve with...Ch. 7.6 - Exercises 19–22 refer to the normal curve with...Ch. 7.6 - Exercises 1922 refer to the normal curve with...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - In Exercises 23-26, find the areas of the shaded...Ch. 7.6 - 27. What is the probability that an outcome of a...Ch. 7.6 - 28. What is the probability that an outcome of a...Ch. 7.6 - Find the value of for a normal random variable X...Ch. 7.6 - Find the value of for a normal random variable X...Ch. 7.6 - Elephant Heights Suppose that the height (at the...Ch. 7.6 - 32. Bottling Reliability At a soft-drink bottling...Ch. 7.6 - Manufacturing Reliability Bolts produced by a...Ch. 7.6 - Heights In a certain population, heights (in...Ch. 7.6 - 35. Manufacturing Reliability In a certain...Ch. 7.6 - 36. IQ Scores As measured with the Stanford-Binet...Ch. 7.6 - 37. Production Quotas The number of barrels of oil...Ch. 7.6 - Lightbulb Lifetimes Suppose that the lifetimes of...Ch. 7.6 - SAT Scores Assume that SAT verbal scores for a...Ch. 7.6 - 40. Mailing Bags A mail-order house uses an...Ch. 7.6 - Tire Lifetimes The lifetime of a certain brand of...Ch. 7.6 - Soft-Drink Dispenser Let X be the amount of soda...Ch. 7.6 - (True or False) A normal curve with a large value...Ch. 7.6 - Prob. 44ECh. 7.6 - Prob. 45ECh. 7.6 - Prob. 46ECh. 7.6 - Prob. 47ECh. 7.6 - Prob. 48ECh. 7.7 - 1. Drug Testing A new drug is being tested on...Ch. 7.7 - Prob. 2CYUCh. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 1–22, use the normal curve to ...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 122, use the normal curve to...Ch. 7.7 - In Exercises 23–26, find the more precise answer...Ch. 7.7 - Prob. 24ECh. 7.7 - In Exercises 23–26, find the more precise answer...Ch. 7.7 - In Exercises 2326, find the more precise answer to...Ch. 7 - What is a bar chart? A pie chart? A histogram? A...Ch. 7 - Prob. 2FCCECh. 7 - What is a frequency distribution? A relative...Ch. 7 - Prob. 4FCCECh. 7 - Prob. 5FCCECh. 7 - What is meant by the probability distribution of a...Ch. 7 - Prob. 7FCCECh. 7 - Prob. 8FCCECh. 7 - Prob. 9FCCECh. 7 - Prob. 10FCCECh. 7 - Prob. 11FCCECh. 7 - Prob. 12FCCECh. 7 - Prob. 13FCCECh. 7 - U.S. Population Display the data from Table 1 in a...Ch. 7 - Find the five-number summary and the interquartile...Ch. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - 6. Archery An archer has probability .3 of hitting...Ch. 7 - 7. Guessing on an Exam A true–false exam consists...Ch. 7 - Dice A pair of fair dice is rolled 12 times. Note:...Ch. 7 - Table 2 gives the probability distribution of the...Ch. 7 - 10. Balls in an Urn An urn contains four red balls...Ch. 7 - The probability distribution of a random variable...Ch. 7 - Dice Game Lucy and Ethel play a game of chance in...Ch. 7 - 13. Suppose that a probability distribution has...Ch. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - 17. Heights of Adult Males The height of adult...Ch. 7 - Figure 3(a) is a standard normal curve. Find the...Ch. 7 - Figure 3(b) is a normal curve with =80and=15. Find...Ch. 7 - IQ Scores As measured with the Wechsler Adult...Ch. 7 - 21. Jury Selection In a certain city, 2/5 of the...Ch. 7 - Quality Control In a complicated production...Ch. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - If each number in a set of numbers is increased by...Ch. 7 - 28. If each number in a set of numbers is doubled,...Ch. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - An urn contains four red balls and six white...Ch. 7 - Prob. 2PCh. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...Ch. 7 - An urn contains four red balls and six white...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 5. Suppose that a mass of 5 stretches a spring 10. The mass is acted on by an external force of F(t)=10 sin () and moves in a medium that gives a damping coefficient of ½. If the mass is set in motion with an initial velocity of 3 and is stretched initially to a length of 5. (I purposefully removed the units- don't worry about them. Assume no conversions are needed.) a) Find the equation for the displacement of the spring mass at time t. b) Write the equation for the displacement of the spring mass in phase-mode form. c) Characterize the damping of the spring mass system as overdamped, underdamped or critically damped. Explain how you know. D.E. for Spring Mass Systems k m* g = kLo y" +—y' + — —±y = —±F(t), y(0) = yo, y'(0) = vo m 2 A₁ = √c₁² + C₂² Q = tan-1arrow_forward4. Given the following information determine the appropriate trial solution to find yp. Do not solve the differential equation. Do not find the constants. a) (D-4)2(D+ 2)y = 4e-2x b) (D+ 1)(D² + 10D +34)y = 2e-5x cos 3xarrow_forward9.7 Given the equations 0.5x₁-x2=-9.5 1.02x₁ - 2x2 = -18.8 (a) Solve graphically. (b) Compute the determinant. (c) On the basis of (a) and (b), what would you expect regarding the system's condition? (d) Solve by the elimination of unknowns. (e) Solve again, but with a modified slightly to 0.52. Interpret your results.arrow_forward
- 3. Determine the appropriate annihilator for the given F(x). a) F(x) = 5 cos 2x b) F(x)=9x2e3xarrow_forward12.42 The steady-state distribution of temperature on a heated plate can be modeled by the Laplace equation, 0= FT T + 200°C 25°C 25°C T22 0°C T₁ T21 200°C FIGURE P12.42 75°C 75°C 00°C If the plate is represented by a series of nodes (Fig. P12.42), cen- tered finite-divided differences can be substituted for the second derivatives, which results in a system of linear algebraic equations. Use the Gauss-Seidel method to solve for the temperatures of the nodes in Fig. P12.42.arrow_forward9.22 Develop, debug, and test a program in either a high-level language or a macro language of your choice to solve a system of equations with Gauss-Jordan elimination without partial pivoting. Base the program on the pseudocode from Fig. 9.10. Test the program using the same system as in Prob. 9.18. Compute the total number of flops in your algorithm to verify Eq. 9.37. FIGURE 9.10 Pseudocode to implement the Gauss-Jordan algorithm with- out partial pivoting. SUB GaussJordan(aug, m, n, x) DOFOR k = 1, m d = aug(k, k) DOFOR j = 1, n aug(k, j) = aug(k, j)/d END DO DOFOR 1 = 1, m IF 1 % K THEN d = aug(i, k) DOFOR j = k, n aug(1, j) END DO aug(1, j) - d*aug(k, j) END IF END DO END DO DOFOR k = 1, m x(k) = aug(k, n) END DO END GaussJordanarrow_forward
- 11.9 Recall from Prob. 10.8, that the following system of equations is designed to determine concentrations (the e's in g/m³) in a series of coupled reactors as a function of amount of mass input to each reactor (the right-hand sides are in g/day): 15c3cc33300 -3c18c26c3 = 1200 -4c₁₂+12c3 = 2400 Solve this problem with the Gauss-Seidel method to & = 5%.arrow_forward9.8 Given the equations 10x+2x2-x3 = 27 -3x-6x2+2x3 = -61.5 x1 + x2 + 5x3 = -21.5 (a) Solve by naive Gauss elimination. Show all steps of the compu- tation. (b) Substitute your results into the original equations to check your answers.arrow_forwardTangent planes Find an equation of the plane tangent to the following surfaces at the given points (two planes and two equations).arrow_forward
- Vectors u and v are shown on the graph.Part A: Write u and v in component form. Show your work. Part B: Find u + v. Show your work.Part C: Find 5u − 2v. Show your work.arrow_forwardVectors u = 6(cos 60°i + sin60°j), v = 4(cos 315°i + sin315°j), and w = −12(cos 330°i + sin330°j) are given. Use exact values when evaluating sine and cosine.Part A: Convert the vectors to component form and find −7(u • v). Show every step of your work.Part B: Convert the vectors to component form and use the dot product to determine if u and w are parallel, orthogonal, or neither. Justify your answer.arrow_forwardSuppose that one factory inputs its goods from two different plants, A and B, with different costs, 3 and 7 each respective. And suppose the price function in the market is decided as p(x, y) = 100 - x - y where x and y are the demand functions and 0 < x, y. Then as x = y= the factory can attain the maximum profit,arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning


Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Continuous Probability Distributions - Basic Introduction; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=QxqxdQ_g2uw;License: Standard YouTube License, CC-BY
Probability Density Function (p.d.f.) Finding k (Part 1) | ExamSolutions; Author: ExamSolutions;https://www.youtube.com/watch?v=RsuS2ehsTDM;License: Standard YouTube License, CC-BY
Find the value of k so that the Function is a Probability Density Function; Author: The Math Sorcerer;https://www.youtube.com/watch?v=QqoCZWrVnbA;License: Standard Youtube License