EBK FINITE MATHEMATICS FOR THE MANAGERI
11th Edition
ISBN: 9780100478183
Author: Tan
Publisher: YUZU
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Chapter 8.4, Problem 4E
To determine
The experiment, a card is selected from a deck of
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3. A spring is stretched 6 in. by a mass that weighs 8 lb. The mass is attached to a dashpot
mechanism that has a damping constant of 0.25 lb-sec./ft. and is acted on by an external
force of 4 cos 2t lb.
a. Set-up the differential equation and initial value problem for the system.
b. Write the function in phase-amplitude form.
C.
Determine the transient solution to the system. Show your work.
d. Determine the steady state of this system. Show your work.
e.
Is the system underdamped, overdamped or critically damped? Explain what this
means for the system.
4. Suppose that you have a circuit with a resistance of 20, inductance of 14 H and a
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60
to the circuit. Suppose that the q(0)= 8 V and the q'(0)=7. Use this information to answer the
following questions
a. Find the function that models the charge of this circuit.
b. Is the circuit underdamped, overdamped or critically damped?
1. Solve the initial value problem:
y" -11y' + 30y = x³e6x
y(0) 11, y'(0) = 36
=
Chapter 8 Solutions
EBK FINITE MATHEMATICS FOR THE MANAGERI
Ch. 8.1 - What is a random variable? Give an example.Ch. 8.1 - Prob. 2CQCh. 8.1 - Prob. 3CQCh. 8.1 - Three balls are selected at random without...Ch. 8.1 - 2.A coin is tossed four times. Let the random...Ch. 8.1 - A die is rolled repeatedly until a 6 falls...Ch. 8.1 - Cards are selected one at a time without...Ch. 8.1 - Prob. 5ECh. 8.1 - Prob. 6ECh. 8.1 - Prob. 7E
Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - In Exercises 7-12, give the range of values that...Ch. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - In Exercises 13-16, determine whether the table...Ch. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - In Exercises 17-18, find conditions on the numbers...Ch. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - EXAMS An examination consisting of ten...Ch. 8.1 - Two dice are rolled. Let the random variable X...Ch. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - DISTRIBUTION OF FAMILIES BY SIZE The Public...Ch. 8.1 - WAITNG LINES The accompanying data were obtained...Ch. 8.1 - TELEVISION PILOTS After the private screening of a...Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 1TECh. 8.1 - Prob. 2TECh. 8.1 - Prob. 3TECh. 8.1 - Prob. 4TECh. 8.1 - Prob. 5TECh. 8.1 - Prob. 6TECh. 8.1 - Prob. 7TECh. 8.1 - Prob. 8TECh. 8.1 - Prob. 9TECh. 8.1 - Prob. 10TECh. 8.2 - What is the expected value of a random variable?...Ch. 8.2 - Prob. 2CQCh. 8.2 - Prob. 3CQCh. 8.2 - Prob. 1ECh. 8.2 - Find the expected value of a random variable X...Ch. 8.2 - CALCULATING GPA During the first year at a...Ch. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - CAFETERIA MILK CONSUMPTION Records kept by the...Ch. 8.2 - EXPECTED EARNINGS The daily earnings X of an...Ch. 8.2 - EXPECTED NUMBER OF DEFECTIVE PRODUCTS If a sample...Ch. 8.2 - EXPECTED NUMBER OF AUTO ACCIDENTS The numbers of...Ch. 8.2 - EXPECTED DEMAND FOR MAGAZINES The owner of a...Ch. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - EXPECTED VALUE OF A LOTTERY TICKET In a lottery,...Ch. 8.2 - LIFE INSURANCE PREMIUMS A man wishes to purchase a...Ch. 8.2 - Prob. 17ECh. 8.2 - LIFE INSURANCE PREMIUMS As a fringe benefit,...Ch. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Prob. 21ECh. 8.2 - EXPECTED AUTO SALES OF A DEALERSHIP Roger Hunt...Ch. 8.2 - EXPECTED HOME SALES OF A REALTOR Sally Leonard, a...Ch. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Prob. 31ECh. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - ODDS OF WINNING A BOXING MATCH If a sports...Ch. 8.2 - Prob. 41ECh. 8.2 - Prob. 42ECh. 8.2 - Prob. 43ECh. 8.2 - Prob. 44ECh. 8.2 - Prob. 45ECh. 8.2 - SAN FRANCISCO WEATHER The normal daily minimum...Ch. 8.2 - Prob. 47ECh. 8.2 - Prob. 48ECh. 8.2 - Prob. 49ECh. 8.2 - Prob. 50ECh. 8.2 - Prob. 51ECh. 8.2 - Prob. 52ECh. 8.2 - In Exercises 52 and 53, determine whether the...Ch. 8.3 - a. What is the variance of a random variable X? b....Ch. 8.3 - Prob. 2CQCh. 8.3 - Prob. 1ECh. 8.3 - In Exercises 1-6, the probability distribution of...Ch. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - In Exercises 9 and 10, find the variance of the...Ch. 8.3 - Prob. 10ECh. 8.3 - An experiment consists of rolling an eight-sided...Ch. 8.3 - Happiness Score The happiness score, by...Ch. 8.3 - Prob. 13ECh. 8.3 - INVESTMENT ANALYSIS Paul Hunt is considering two...Ch. 8.3 - Prob. 15ECh. 8.3 - The distribution of the number of chocolate chips...Ch. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - STUCK IN TRAFFIC The following table gives the...Ch. 8.3 - COST OF TAKING TIME OFF A survey was conducted of...Ch. 8.3 - Prob. 21ECh. 8.3 - NEW YORK STATE COURTS' TOTAL CASELOAD The...Ch. 8.3 - Prob. 23ECh. 8.3 - IDENTITY FRAUD The identity fraud rates in the...Ch. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Prob. 31ECh. 8.3 - Prob. 32ECh. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Prob. 37ECh. 8.3 - Prob. 38ECh. 8.3 - Prob. 39ECh. 8.3 - Prob. 40ECh. 8.3 - A Probability distribution has mean of 42 and a...Ch. 8.3 - A Probability distribution has mean of 20 and a...Ch. 8.3 - Prob. 43ECh. 8.3 - Prob. 44ECh. 8.3 - Prob. 45ECh. 8.3 - Prob. 46ECh. 8.3 - Prob. 47ECh. 8.3 - Prob. 48ECh. 8.3 - Prob. 49ECh. 8.3 - Prob. 50ECh. 8.3 - Prob. 1TECh. 8.3 - Prob. 2TECh. 8.3 - Prob. 3TECh. 8.3 - Prob. 4TECh. 8.3 - Prob. 5TECh. 8.3 - Prob. 6TECh. 8.3 - Prob. 7TECh. 8.3 - Prob. 8TECh. 8.4 - Suppose that you are given a Bernoulli experiment....Ch. 8.4 - Prob. 2CQCh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - In Exercises 1116, use the formula C(n,x)pxqnx to...Ch. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Prob. 18ECh. 8.4 - A binomial experiment consists of five independent...Ch. 8.4 - FAMILY COMPOSITION Let the random variable X...Ch. 8.4 - Prob. 21ECh. 8.4 - SPORTS If the probability that a certain tennis...Ch. 8.4 - Prob. 23ECh. 8.4 - VOTERS In a certain congressional district. it is...Ch. 8.4 - Prob. 25ECh. 8.4 - Prob. 26ECh. 8.4 - RESTAURANT HEALTH CODE VIOLATIONS Suppose 30 of...Ch. 8.4 - Prob. 28ECh. 8.4 - EXAMS A psychology quiz consists of ten...Ch. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - MAKING FRIENDS In a survey of 2541 adults aged 18...Ch. 8.4 - EXAMS A biology quiz consists of eight...Ch. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - CONSUMER PREFERENCES An advertisement for Brand A...Ch. 8.4 - Prob. 37ECh. 8.4 - Prob. 38ECh. 8.4 - BLOOD PRESSURE A study conducted in 2012...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - WORKING WITH A SPOUSE In a survey of 1147 small...Ch. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - ROBOT RELIABILITY An automobile manufacturing...Ch. 8.4 - Prob. 46ECh. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Prob. 58ECh. 8.4 - Prob. 59ECh. 8.4 - Prob. 60ECh. 8.4 - Prob. 61ECh. 8.4 - Prob. 62ECh. 8.5 - Consider the following normal curve with mean and...Ch. 8.5 - Prob. 2CQCh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4ECh. 8.5 - Prob. 5ECh. 8.5 - Prob. 6ECh. 8.5 - Prob. 7ECh. 8.5 - Prob. 8ECh. 8.5 - Prob. 9ECh. 8.5 - In Exercise 714, a make a sketch of the area under...Ch. 8.5 - Prob. 11ECh. 8.5 - Prob. 12ECh. 8.5 - Prob. 13ECh. 8.5 - Prob. 14ECh. 8.5 - Prob. 15ECh. 8.5 - Prob. 16ECh. 8.5 - Prob. 17ECh. 8.5 - Prob. 18ECh. 8.5 - Prob. 19ECh. 8.5 - Prob. 20ECh. 8.6 - Prob. 1CQCh. 8.6 - Prob. 2CQCh. 8.6 - Medical Records The medical record of infant...Ch. 8.6 - Prob. 2ECh. 8.6 - Prob. 3ECh. 8.6 - Prob. 4ECh. 8.6 - IQsThe IQs of students at Wilson Elementary School...Ch. 8.6 - Prob. 6ECh. 8.6 - Prob. 7ECh. 8.6 - Prob. 8ECh. 8.6 - WARRANTIES The general manager of the service...Ch. 8.6 - Prob. 10ECh. 8.6 - GRADE DISTRIBUTION The score on a sociology...Ch. 8.6 - HIGHWAY SPEEDS The speeds in miles per hour of...Ch. 8.6 - In Exercise 13-24, use the appropriate normal...Ch. 8.6 - Prob. 14ECh. 8.6 - Prob. 15ECh. 8.6 - CHANCE OF MAKING A FREE THROW A basketball player...Ch. 8.6 - Prob. 17ECh. 8.6 - TELEMARKETING Jorge sells magazine subscription...Ch. 8.6 - Prob. 19ECh. 8.6 - Prob. 20ECh. 8.6 - Prob. 21ECh. 8.6 - Prob. 22ECh. 8.6 - CRUISE SHIP BOOKINGS Because of late...Ch. 8.6 - Prob. 24ECh. 8.CRQ - Fill in the blanks. A rule that assigns a number...Ch. 8.CRQ - Prob. 2CRQCh. 8.CRQ - Prob. 3CRQCh. 8.CRQ - Prob. 4CRQCh. 8.CRQ - Prob. 5CRQCh. 8.CRQ - Prob. 6CRQCh. 8.CRQ - Fill in the blanks. A probability distribution...Ch. 8.CRQ - Prob. 8CRQCh. 8.CRE - Prob. 1CRECh. 8.CRE - LIFE INSURANCE POLICIES A man purchased a 25,000,...Ch. 8.CRE - Prob. 3CRECh. 8.CRE - Prob. 4CRECh. 8.CRE - In Exercises 5-8, let Z be the standard normal...Ch. 8.CRE - Prob. 6CRECh. 8.CRE - Prob. 7CRECh. 8.CRE - Prob. 8CRECh. 8.CRE - In Exercises 9-12, let Z be the standard normal...Ch. 8.CRE - Prob. 10CRECh. 8.CRE - Prob. 11CRECh. 8.CRE - Prob. 12CRECh. 8.CRE - Prob. 13CRECh. 8.CRE - Prob. 14CRECh. 8.CRE - Prob. 15CRECh. 8.CRE - Prob. 16CRECh. 8.CRE - DRIVING AGE REQUIREMENTS The minimum age...Ch. 8.CRE - Prob. 18CRECh. 8.CRE - TRAFFIC A traffic survey of the speed of the...Ch. 8.CRE - EXPECTED PROFIT A buyer for Discount Fashions, an...Ch. 8.CRE - BOWLING A STRIKE If the probability that a bowler...Ch. 8.CRE - HEIGHTS OF WOMEN The heights of 4000 women who...Ch. 8.CRE - Prob. 23CRECh. 8.CRE - NETFLIX REVENUE FROM STREAMING SUBSCRIBERS The...Ch. 8.CRE - Prob. 25CRECh. 8.CRE - Prob. 26CRECh. 8.CRE - Prob. 27CRECh. 8.CRE - Prob. 28CRECh. 8.CRE - Prob. 29CRECh. 8.CRE - ON-TIME ARRIVALS Diane, who commutes regularly...Ch. 8.CRE - Prob. 31CRECh. 8.CRE - Prob. 32CRECh. 8.BMO - Prob. 1BMOCh. 8.BMO - Prob. 2BMOCh. 8.BMO - Prob. 3BMOCh. 8.BMO - Prob. 4BMOCh. 8.BMO - Prob. 5BMOCh. 8.BMO - A fair coin is tossed 30 times. Using the...
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