Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
13th Edition
ISBN: 9780321869838
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
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Textbook Question
Chapter A.7, Problem 24E
Find only real solutions in the problems below. If there are no real solutions, say so.
Solve Problems 13–30 by using any method.
24. x2−2x=−3
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Question 1:
If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p =
13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the
column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts)
Solution:
A barometer works based on the principle that the pressure exerted by the liquid column
balances atmospheric pressure. The pressure is given by:
P = pgh
Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the
liquid column is inversely proportional to its density:
Step 1: Given Data
PHg
hol=hgx
Poil
• Density of mercury: PHg = 13.6 g/cm³
Density of oil: Poil = 0.92 g/cm³
• Standard height of mercury at 1.00 atm: hμg
Step 2: Compute Height of Oil
= 760 mm = 0.760 m
13.6
hoil
= 0.760 x
0.92
hoil
= 0.760 × 14.78
hoil
= 11.23 m
Step 3: Compare Heights
Since oil is less dense than mercury, the column of oil must be much taller than that of
mercury. The factor by which it is taller is:
Final…
Chapter A.7 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 7ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 9ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 17ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 26ECh. A.7 - Prob. 27ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Prob. 29ECh. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Find only real solutions in the problems below. If...Ch. A.7 - Solve x2 + 3mx 3n = 0 for x in terms of m and n.Ch. A.7 - Consider the quadratic equation x2+4x+c=0 where c...Ch. A.7 - Consider the quadratic equation x2+2x+c=0 where c...Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - In Problems 4348, find all real solutions....Ch. A.7 - Supply and demand. A company wholesales shampoo in...Ch. A.7 - Supply and demand. An importer sells an automatic...Ch. A.7 - Interest rate. If P dollars are invested at 100r...Ch. A.7 - Interest rate. Using the formula in Problem 51,...Ch. A.7 - Ecology. To measure the velocity v (in feet per...Ch. A.7 - Safety research. It is of considerable importance...
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