Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
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Chapter 15.4, Problem 9E
To determine
The two-decibel readings in which the greatest change in power output found.
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A body of mass m at the top of a 100 m high tower is thrown vertically upward with an initial velocity of 10 m/s. Assume that the air resistance FD acting on the body is proportional to the velocity V, so that FD=kV. Taking g = 9.75 m/s2 and k/m = 5 s, determine: a) what height the body will reach at the top of the tower, b) how long it will take the body to touch the ground, and c) the velocity of the body when it touches the ground.
A chemical reaction involving the interaction of two substances A and B to form a new compound X is called a second order reaction. In such cases it is observed that the rate of reaction (or the rate at which the new compound is formed) is proportional to the product of the remaining amounts of the two original substances. If a molecule of A and a molecule of B combine to form a molecule of X (i.e., the reaction equation is A + B ⮕ X), then the differential equation describing this specific reaction can be expressed as:
dx/dt = k(a-x)(b-x)
where k is a positive constant, a and b are the initial concentrations of the reactants A and B, respectively, and x(t) is the concentration of the new compound at any time t. Assuming that no amount of compound X is present at the start, obtain a relationship for x(t). What happens when t ⮕∞?
Consider a body of mass m dropped from rest at t = 0. The body falls under the influence of gravity, and the air resistance FD opposing the motion is assumed to be proportional to the square of the velocity, so that FD = kV2. Call x the vertical distance and take the positive direction of the x-axis downward, with origin at the initial position of the body. Obtain relationships for the velocity and position of the body as a function of time t.
Chapter 15 Solutions
Elementary Technical Mathematics
Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...Ch. 15.1 - Find the approximate annual earnings of each of...
Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - Find the following information from Illustration...Ch. 15.1 - A survey of 100 families was taken to find the...Ch. 15.1 - Illustration 3 shows the average text scores on...Ch. 15.1 - Prob. 23ECh. 15.1 - Prob. 24ECh. 15.1 - Prob. 25ECh. 15.2 - Find 26% of 360.Ch. 15.2 - Find 52% of 360Ch. 15.2 - Prob. 3ECh. 15.2 - Find 37.1% of 360Ch. 15.2 - Prob. 5ECh. 15.2 - Find 47.7% of 360Ch. 15.2 - Of 744 students, 452 are taking mathematics. What...Ch. 15.2 - Of 2017 students, 189 are taking technical...Ch. 15.2 - Prob. 9ECh. 15.2 - Candidate A was one of four candidates in an...Ch. 15.2 - A department spends $16,192 of its $182,100 budget...Ch. 15.2 - In June, the sales of an automobile dealership...Ch. 15.2 - Draw a circle graph for Exercises 1320: United...Ch. 15.2 - United States estimated population by age in 2016:...Ch. 15.2 - The suggested semester credit-hour requirements...Ch. 15.2 - A company interviewed its 473 employees to find...Ch. 15.2 - Total forest by continent in year 2015 in millions...Ch. 15.2 - The highest level of education for persons age 25...Ch. 15.2 - Prob. 19ECh. 15.2 - Some 2030 United Nations projected population data...Ch. 15.3 - The data in Illustration 1 are from the records of...Ch. 15.3 - An inspector recorded the number of faulty...Ch. 15.3 - Illustration 3 lists the 6months sales performance...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A technician is often asked to read graphs drawn...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - Prob. 11ECh. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - A hygrothermograph is used by the weather services...Ch. 15.3 - According to National Oceanic and Atmospheric...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.6 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Use Figure 15.7 to find the answers for Exercises...Ch. 15.4 - Prob. 9ECh. 15.4 - Prob. 10ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 3ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 5ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 7ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 9ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Prob. 11ECh. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - Find the mean measurement for each set of...Ch. 15.5 - The mileage on six vehicles leased for 1 year was...Ch. 15.5 - A trucking company had hauls of 2018 km, 2101 km,...Ch. 15.5 - Over an 8day period of time the high temperature...Ch. 15.5 - A pharmacist weighed ten different capsules of the...Ch. 15.5 - A technician measured the power usage of six...Ch. 15.5 - A trucking company had seven items with the...Ch. 15.5 - According to the U.S. Energy Information...Ch. 15.5 - As trees grow in diameter, the wood produced in...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 3ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 5ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 7ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 9ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 11ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 13ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 17ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 19ECh. 15.6 - 120. Find the median measurement for each set of...Ch. 15.6 - Prob. 21ECh. 15.6 - Find the following percentiles for the data listed...Ch. 15.6 - Prob. 23ECh. 15.6 - Prob. 24ECh. 15.6 - Prob. 25ECh. 15.6 - Prob. 26ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - Prob. 28ECh. 15.6 - Prob. 29ECh. 15.6 - Prob. 30ECh. 15.6 - Prob. 31ECh. 15.6 - Prob. 32ECh. 15.6 - Prob. 33ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - Prob. 35ECh. 15.6 - Find the mode for each set of measurements in...Ch. 15.6 - The cross section of the oak tree mentioned in the...Ch. 15.6 - Prob. 38ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 3ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 5ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 9ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 11ECh. 15.7 - Prob. 12ECh. 15.7 - Prob. 13ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 16ECh. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - 1-20. Find the range for each set measurements in...Ch. 15.7 - Prob. 20ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 31ECh. 15.7 - Prob. 32ECh. 15.7 - Prob. 33ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 36ECh. 15.7 - 21-40. Find the sample standard deviation for each...Ch. 15.7 - Prob. 38ECh. 15.7 - Prob. 39ECh. 15.7 - Prob. 40ECh. 15.8 - From the following grouped data, find the mean....Ch. 15.8 - Make a frequency distribution of the following...Ch. 15.8 - A laboratory technician records the life span (in...Ch. 15.8 - The life expectancy of a fluorescent light bulb is...Ch. 15.8 - The shipment times in hours for a load of goods...Ch. 15.8 - The cost of goods stolen from a department store...Ch. 15.8 - The number of passengers and their luggage weight...Ch. 15.8 - The income of the residents in a neighborhood was...Ch. 15.8 - The number of defective parts per shipment has...Ch. 15.8 - The following dollar amounts are traffic fines...Ch. 15.8 - The length of hospital stays for patients at a...Ch. 15.8 - The frequency of repair for the trucks owned by a...Ch. 15.8 - The scores that golfers shot on 18 holes at a...Ch. 15.8 - The corn yield in bushels per acre for a certain...Ch. 15.8 - The following are the squad sizes of the football...Ch. 15.8 - Prob. 16ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 2ECh. 15.9 - Prob. 3ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 5ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Prob. 7ECh. 15.9 - Prob. 8ECh. 15.9 - Prob. 9ECh. 15.9 - Prob. 10ECh. 15.9 - Prob. 11ECh. 15.9 - Prob. 12ECh. 15.9 - Prob. 13ECh. 15.9 - Prob. 14ECh. 15.9 - Prob. 15ECh. 15.9 - 1-16. Find the sample standard deviation for each...Ch. 15.9 - Measuring the annual tree rings for the 100 +...Ch. 15.10 - A certain manufacturing process has a target value...Ch. 15.10 - A sporting goods manufacturer makes baseballs. The...Ch. 15.10 - The depth of a silicon wafer is targeted at 1.015...Ch. 15.10 - The illumination of a light bulb is targeted at...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - In Exercises 14, draw a histogram for the data...Ch. 15.11 - Use the data displayed in Table 15.1 on page 489...Ch. 15.11 - Prob. 6ECh. 15.11 - Prob. 7ECh. 15.11 - Precision Manufacturing produces 20,000 machine...Ch. 15.11 - Prob. 9ECh. 15.11 - Prob. 10ECh. 15.11 - Prob. 11ECh. 15.11 - In Exercises 912, a. Draw a scattergram for the...Ch. 15.12 - Given a normal distribution with a mean of 85 and...Ch. 15.12 - Given the 20 numbers 32, 34, 35, 41, 42, 43, 44,...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - In Exercises 36, use the frequency distribution to...Ch. 15.12 - Prob. 6ECh. 15.12 - Prob. 7ECh. 15.12 - A trouser manufacturer has an order for 80,000...Ch. 15.13 - Prob. 1ECh. 15.13 - Prob. 2ECh. 15.13 - Prob. 3ECh. 15.13 - Prob. 4ECh. 15.13 - Prob. 5ECh. 15.13 - Prob. 6ECh. 15.13 - Prob. 7ECh. 15.13 - Prob. 8ECh. 15.13 - Prob. 9ECh. 15.13 - From the sample space in Exercise 1, what is the...Ch. 15.13 - Prob. 11ECh. 15.13 - Prob. 12ECh. 15.13 - Prob. 13ECh. 15.13 - Prob. 14ECh. 15.13 - Prob. 15ECh. 15.13 - A bag contains 6 red and 4 white marbles. One...Ch. 15.13 - Prob. 17ECh. 15.13 - In a classroom, there are 18 female students and 7...Ch. 15.14 - A bag contains 1 red marble, 1 blue marble, 1...Ch. 15.14 - A card is chosen from a deck of 52 cards. It is...Ch. 15.14 - Prob. 3ECh. 15.14 - A large box of vegetables contains 4 tomatoes, 3...Ch. 15.14 - Prob. 5ECh. 15.14 - A card is chosen from a deck of cards and placed...Ch. 15.14 - Prob. 7ECh. 15.14 - A card is drawn and replaced four times from a...Ch. 15.14 - A card is drawn and replaced four times from a...Ch. 15.14 - A pair of dice is rolled. What is the probability...Ch. 15.14 - Prob. 11ECh. 15.14 - Prob. 12ECh. 15.14 - Prob. 13ECh. 15.14 - Prob. 14ECh. 15.14 - Prob. 15ECh. 15.14 - Prob. 16ECh. 15 - Prob. 1RCh. 15 - Find 56.1% of 360.Ch. 15 - Prob. 3RCh. 15 - Prob. 4RCh. 15 - Prob. 5RCh. 15 - For Exercises 68, use the following data. A...Ch. 15 - For Exercises 68, use the following data. A...Ch. 15 - For Exercises 68, use the following data. A...Ch. 15 - Given the frequency distribution in Illustration...Ch. 15 - For Exercises 1012, use the data below. A students...Ch. 15 - Prob. 11RCh. 15 - For Exercises 1012, use the data below. A students...Ch. 15 - Prob. 13RCh. 15 - Prob. 14RCh. 15 - Prob. 15RCh. 15 - A bag contains 4 white marbles, 3 red marbles, 1...Ch. 15 - See Illustration 1. What country has the longest...Ch. 15 - See Illustration 1. What country has a life...Ch. 15 - Prob. 3TCh. 15 - Prob. 4TCh. 15 - Prob. 5TCh. 15 - Prob. 6TCh. 15 - Prob. 7TCh. 15 - See Illustration 2. What is the power gain when...Ch. 15 - Prob. 9TCh. 15 - Prob. 10TCh. 15 - Prob. 11TCh. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - For Exercises 1214, use the data in Illustration...Ch. 15 - Prob. 15TCh. 15 - Find the sample standard deviation for each set of...
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