Precalculus (6th Edition)
6th Edition
ISBN: 9780134469140
Author: Robert F. Blitzer
Publisher: PEARSON
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Chapter 5.5, Problem 153PE
To determine
Whether the statement “there are similarities and differences between solving
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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…
Question 3:
A sealed flask at room temperature contains a mixture of neon (Ne) and nitrogen (N2)
gases.
Ne has a mass of 3.25 g and exerts a pressure of 48.2 torr.
.
N2 contributes a pressure of 142 torr.
• What is the mass of the N2 in the flask?
• Atomic mass of Ne = 20.1797 g/mol
• Atomic mass of N = 14.0067 g/mol
Solution:
We will use the Ideal Gas Law to determine the number of moles of each gas and
calculate the mass of N2.
PV = nRT
where:
• P = total pressure
•
V volume of the flask (same for both gases)
n = number of moles of gas
•
R 0.0821 L atm/mol K
• T = Room temperature (assume 298 K)
Since both gases are in the same flask, their partial pressures correspond to their mole
fractions.
Step 1: Convert Pressures to Atmospheres
48.2
PNe
= 0.0634 atm
760
142
PN2
=
= 0.1868 atm
760
Step 2: Determine Moles of Ne
nNe =
mass
molar mass
3.25
nNe
20.1797
nne 0.1611 mol
Step 3: Use Partial Pressure Ratio to Find n
Chapter 5 Solutions
Precalculus (6th Edition)
Ch. 5.1 - Check Point 1 Verify the identify: .
Ch. 5.1 - Check Point 2 Verify the identity:...Ch. 5.1 - Prob. 3CPCh. 5.1 - Check Point 4 Verify the identity:...Ch. 5.1 - Check Point 5 Verify the identify:...Ch. 5.1 - Prob. 6CPCh. 5.1 - Prob. 7CPCh. 5.1 - Check Point 8 Verify the identity:...Ch. 5.1 - Prob. 1CVCCh. 5.1 - Fill in each blank so that the resulting statement...
Ch. 5.1 - Fill in each blank so that the resulting statement...Ch. 5.1 - Prob. 4CVCCh. 5.1 - Prob. 5CVCCh. 5.1 - In Exercises 1-60, verify each identity.
1.
Ch. 5.1 - In Exercises 1-60, verify each identity.
2.
Ch. 5.1 - Prob. 3PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 5PECh. 5.1 - In Exercises 1-60, verify each identity.
6.
Ch. 5.1 - Prob. 7PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 10PECh. 5.1 - Prob. 11PECh. 5.1 - In Exercises 1-60, verify each identity.
12.
Ch. 5.1 - In Exercises 1-60, verify each identity.
13.
Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 1-60, verify each identity.
16.
Ch. 5.1 - In Exercises 1-60, verify each identity.
17.
Ch. 5.1 - Prob. 18PECh. 5.1 - In Exercises 1-60, verify each identity.
19.
Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 21PECh. 5.1 - Prob. 22PECh. 5.1 - Prob. 23PECh. 5.1 - In Exercises 1-60, verify each identity.
24.
Ch. 5.1 - Prob. 25PECh. 5.1 - Prob. 26PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 29PECh. 5.1 - Prob. 30PECh. 5.1 - Prob. 31PECh. 5.1 - In Exercises 1-60, verify each identity.
32.
Ch. 5.1 - In Exercises 1-60, verify each identity.
33.
Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 35PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 38PECh. 5.1 - Prob. 39PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 41PECh. 5.1 - Prob. 42PECh. 5.1 - Prob. 43PECh. 5.1 - Prob. 44PECh. 5.1 - Prob. 45PECh. 5.1 - In Exercises 1-60, verify each identity.
46.
Ch. 5.1 - In Exercises 1-60, verify each identity.
47.
Ch. 5.1 - Prob. 48PECh. 5.1 - Prob. 49PECh. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - Prob. 51PECh. 5.1 - Prob. 52PECh. 5.1 - Prob. 53PECh. 5.1 - Prob. 54PECh. 5.1 - In Exercises 1-60, verify each identity.
55.
Ch. 5.1 - Prob. 56PECh. 5.1 - Prob. 57PECh. 5.1 - Prob. 58PECh. 5.1 - In Exercises 1-60, verify each identity.
59.
Ch. 5.1 - In Exercises 1-60, verify each identity....Ch. 5.1 - In Exercises 61-66, half of an identity and the...Ch. 5.1 - Prob. 62PECh. 5.1 - Prob. 63PECh. 5.1 - Prob. 64PECh. 5.1 - Prob. 65PECh. 5.1 - In Exercises 61-66, half of an identity and the...Ch. 5.1 - Prob. 67PECh. 5.1 - Prob. 68PECh. 5.1 - Prob. 69PECh. 5.1 - Prob. 70PECh. 5.1 - Prob. 71PECh. 5.1 - Prob. 72PECh. 5.1 - Prob. 73PECh. 5.1 - Prob. 74PECh. 5.1 - Prob. 75PECh. 5.1 - Prob. 76PECh. 5.1 - Prob. 77PECh. 5.1 - Prob. 78PECh. 5.1 - Prob. 79PECh. 5.1 - Prob. 80PECh. 5.1 - Prob. 81PECh. 5.1 - Prob. 82PECh. 5.1 - Prob. 83PECh. 5.1 - Prob. 84PECh. 5.1 - In Exercises 79-87, graph each side of the...Ch. 5.1 - Prob. 86PECh. 5.1 - Prob. 87PECh. 5.1 - Prob. 88PECh. 5.1 - Prob. 89PECh. 5.1 - Prob. 90PECh. 5.1 - Prob. 91PECh. 5.1 - Prob. 92PECh. 5.1 - In Exercises 92-95, verify each identity.
93.
Ch. 5.1 - In Exercises 92-95, verify each identity....Ch. 5.1 - Prob. 95PECh. 5.1 - Prob. 96PECh. 5.1 - Prob. 97PECh. 5.1 - Prob. 98PECh. 5.1 - 99. Determine the amplitude and period of .
Then...Ch. 5.1 - Find the inverse of f(x)=x1x+1. (Section 2.7,...Ch. 5.1 - Prob. 101PECh. 5.1 - Prob. 102PECh. 5.1 - Exercises 101-103 will help you prepare for the...Ch. 5.2 - Check Point 1 We know that cos30=32. Obtain this...Ch. 5.2 - Prob. 2CPCh. 5.2 - Prob. 3CPCh. 5.2 - Prob. 4CPCh. 5.2 - Prob. 5CPCh. 5.2 - Check Point 6 Figure 5.5 shows the graph of...Ch. 5.2 - Prob. 7CPCh. 5.2 - Prob. 1CVCCh. 5.2 - Prob. 2CVCCh. 5.2 - Prob. 3CVCCh. 5.2 - Prob. 4CVCCh. 5.2 - Prob. 5CVCCh. 5.2 - Prob. 6CVCCh. 5.2 - Prob. 7CVCCh. 5.2 - Prob. 8CVCCh. 5.2 - Use the formula for the cosine of the difference...Ch. 5.2 - Prob. 2PECh. 5.2 - Use the formula for the cosine of the difference...Ch. 5.2 - Prob. 4PECh. 5.2 - Prob. 5PECh. 5.2 - Prob. 6PECh. 5.2 - Prob. 7PECh. 5.2 - Prob. 8PECh. 5.2 - Prob. 9PECh. 5.2 - Prob. 10PECh. 5.2 - Prob. 11PECh. 5.2 - Prob. 12PECh. 5.2 - Use one or more of the six sum and difference...Ch. 5.2 - Prob. 14PECh. 5.2 - Prob. 15PECh. 5.2 - Use one or more of the six sum and difference...Ch. 5.2 - Prob. 17PECh. 5.2 - Prob. 18PECh. 5.2 - Prob. 19PECh. 5.2 - Prob. 20PECh. 5.2 - Use one or more of the six sum and difference...Ch. 5.2 - Prob. 22PECh. 5.2 - Prob. 23PECh. 5.2 - Prob. 24PECh. 5.2 - Prob. 25PECh. 5.2 - Prob. 26PECh. 5.2 - Prob. 27PECh. 5.2 - Prob. 28PECh. 5.2 - Prob. 29PECh. 5.2 - Prob. 30PECh. 5.2 - Prob. 31PECh. 5.2 - Prob. 32PECh. 5.2 - Use one or more of the six sum and difference...Ch. 5.2 - Prob. 34PECh. 5.2 - Prob. 35PECh. 5.2 - Prob. 36PECh. 5.2 - Prob. 37PECh. 5.2 - Prob. 38PECh. 5.2 - Prob. 39PECh. 5.2 - Prob. 40PECh. 5.2 - Prob. 41PECh. 5.2 - Prob. 42PECh. 5.2 - Prob. 43PECh. 5.2 - Prob. 44PECh. 5.2 - Prob. 45PECh. 5.2 - Prob. 46PECh. 5.2 - Prob. 47PECh. 5.2 - Prob. 48PECh. 5.2 - Prob. 49PECh. 5.2 - Prob. 50PECh. 5.2 - Prob. 51PECh. 5.2 - Prob. 52PECh. 5.2 - Prob. 53PECh. 5.2 - Prob. 54PECh. 5.2 - Prob. 55PECh. 5.2 - Prob. 56PECh. 5.2 - Prob. 57PECh. 5.2 - Prob. 58PECh. 5.2 - Prob. 59PECh. 5.2 - Prob. 60PECh. 5.2 - Prob. 61PECh. 5.2 - Prob. 62PECh. 5.2 - Prob. 63PECh. 5.2 - In Exercises 57-64, find the exact value of the...Ch. 5.2 - Prob. 65PECh. 5.2 - Prob. 66PECh. 5.2 - In Exercises 65-68, the graph with the given...Ch. 5.2 - Prob. 68PECh. 5.2 - Prob. 69PECh. 5.2 - Prob. 70PECh. 5.2 - Prob. 71PECh. 5.2 - Prob. 72PECh. 5.2 - Prob. 73PECh. 5.2 - Prob. 74PECh. 5.2 - Prob. 75PECh. 5.2 - Prob. 76PECh. 5.2 - Prob. 77PECh. 5.2 - Prob. 78PECh. 5.2 - A ball attached to a spring is raised 2 feet and...Ch. 5.2 - Prob. 80PECh. 5.2 - Prob. 81PECh. 5.2 - Prob. 82PECh. 5.2 - Prob. 83PECh. 5.2 - Prob. 84PECh. 5.2 - Prob. 85PECh. 5.2 - Prob. 86PECh. 5.2 - Prob. 87PECh. 5.2 - Prob. 88PECh. 5.2 - Prob. 89PECh. 5.2 - Prob. 90PECh. 5.2 - Prob. 91PECh. 5.2 - Prob. 92PECh. 5.2 - Prob. 93PECh. 5.2 - Prob. 94PECh. 5.2 - Prob. 95PECh. 5.2 - Prob. 96PECh. 5.2 - Prob. 97PECh. 5.2 - Prob. 98PECh. 5.2 - Prob. 99PECh. 5.2 - Prob. 100PECh. 5.2 - Prob. 101PECh. 5.2 - Prob. 102PECh. 5.2 - Prob. 103PECh. 5.2 - Prob. 104PECh. 5.2 - Prob. 105PECh. 5.2 - Prob. 106PECh. 5.2 - 107. A hot-air balloon is rising vertically. From...Ch. 5.2 - Use a sketch to find the exact value of...Ch. 5.2 - Prob. 109PECh. 5.2 - Prob. 110PECh. 5.2 - Prob. 111PECh. 5.2 - Prob. 112PECh. 5.3 - Check Point 1 if and lies in quadrant II, find...Ch. 5.3 - Check Point 2 Find the exact value of...Ch. 5.3 - Check Point 3 Verify the identity:
Ch. 5.3 - Prob. 4CPCh. 5.3 - Check Point 5 Use cos to find the exact value of...Ch. 5.3 - Prob. 6CPCh. 5.3 - Check Point 7 Verify the identify : .
Ch. 5.3 - Prob. 1CVCCh. 5.3 - Prob. 2CVCCh. 5.3 - Prob. 3CVCCh. 5.3 - Prob. 4CVCCh. 5.3 - Prob. 5CVCCh. 5.3 - Prob. 6CVCCh. 5.3 - Prob. 7CVCCh. 5.3 - Prob. 8CVCCh. 5.3 - Prob. 9CVCCh. 5.3 - Prob. 10CVCCh. 5.3 - Prob. 11CVCCh. 5.3 - Prob. 12CVCCh. 5.3 - Prob. 13CVCCh. 5.3 - Prob. 14CVCCh. 5.3 - Prob. 15CVCCh. 5.3 - In Exercises 1-6, use the figures to find the...Ch. 5.3 - Prob. 2PECh. 5.3 - In Exercises 1-6, use the figures to find the...Ch. 5.3 - Prob. 4PECh. 5.3 - Prob. 5PECh. 5.3 - Prob. 6PECh. 5.3 - In Exercises 7-14, use the given information to...Ch. 5.3 - Prob. 8PECh. 5.3 - Prob. 9PECh. 5.3 - In Exercises 7-14, use the given information to...Ch. 5.3 - Prob. 11PECh. 5.3 - Prob. 12PECh. 5.3 - Prob. 13PECh. 5.3 - Prob. 14PECh. 5.3 - Prob. 15PECh. 5.3 - Prob. 16PECh. 5.3 - Prob. 17PECh. 5.3 - Prob. 18PECh. 5.3 - In Exercises 15-22, write each expression as the...Ch. 5.3 - In Exercises 15-22, write each expression as the...Ch. 5.3 - In Exercises 15-22, write each expression as the...Ch. 5.3 - Prob. 22PECh. 5.3 - Prob. 23PECh. 5.3 - Prob. 24PECh. 5.3 - Prob. 25PECh. 5.3 - Prob. 26PECh. 5.3 - Prob. 27PECh. 5.3 - Prob. 28PECh. 5.3 - Prob. 29PECh. 5.3 - Prob. 30PECh. 5.3 - Prob. 31PECh. 5.3 - Prob. 32PECh. 5.3 - Prob. 33PECh. 5.3 - Prob. 34PECh. 5.3 - Prob. 35PECh. 5.3 - Prob. 36PECh. 5.3 - Prob. 37PECh. 5.3 - Prob. 38PECh. 5.3 - Prob. 39PECh. 5.3 - Prob. 40PECh. 5.3 - Prob. 41PECh. 5.3 - Prob. 42PECh. 5.3 - Prob. 43PECh. 5.3 - Prob. 44PECh. 5.3 - Prob. 45PECh. 5.3 - Prob. 46PECh. 5.3 - In Exercises 47-54, use the figures to find the...Ch. 5.3 - Prob. 48PECh. 5.3 - Prob. 49PECh. 5.3 - Prob. 50PECh. 5.3 - Prob. 51PECh. 5.3 - Prob. 52PECh. 5.3 - In Exercises 47-54, use the figures to find the...Ch. 5.3 - Prob. 54PECh. 5.3 - In Exercises 55-58, use the given information to...Ch. 5.3 - Prob. 56PECh. 5.3 - In Exercises 55-58, use the given information to...Ch. 5.3 - Prob. 58PECh. 5.3 - Prob. 59PECh. 5.3 - Prob. 60PECh. 5.3 - Prob. 61PECh. 5.3 - Prob. 62PECh. 5.3 - In Exercises 59-68, verify each identity.
63.
Ch. 5.3 - Prob. 64PECh. 5.3 - Prob. 65PECh. 5.3 - Prob. 66PECh. 5.3 - Prob. 67PECh. 5.3 - Prob. 68PECh. 5.3 - Prob. 69PECh. 5.3 - In Exercises 69-78, half of an identity and the...Ch. 5.3 - Prob. 71PECh. 5.3 - Prob. 72PECh. 5.3 - Prob. 73PECh. 5.3 - Prob. 74PECh. 5.3 - Prob. 75PECh. 5.3 - Prob. 76PECh. 5.3 - Prob. 77PECh. 5.3 - Prob. 78PECh. 5.3 - Prob. 79PECh. 5.3 - Prob. 80PECh. 5.3 - Prob. 81PECh. 5.3 - Prob. 82PECh. 5.3 - Prob. 83PECh. 5.3 - Prob. 84PECh. 5.3 - Prob. 85PECh. 5.3 - Prob. 86PECh. 5.3 - Prob. 87PECh. 5.3 - Prob. 88PECh. 5.3 - Prob. 89PECh. 5.3 - Prob. 90PECh. 5.3 - Prob. 91PECh. 5.3 - Prob. 92PECh. 5.3 - Prob. 93PECh. 5.3 - Prob. 94PECh. 5.3 - Prob. 95PECh. 5.3 - Prob. 96PECh. 5.3 - Prob. 97PECh. 5.3 - Prob. 98PECh. 5.3 - In Exercises 99-101, graph each equation in a...Ch. 5.3 - Prob. 100PECh. 5.3 - Prob. 101PECh. 5.3 - Prob. 102PECh. 5.3 - Make Sense? In Exercises 102-105, determine...Ch. 5.3 - Prob. 104PECh. 5.3 - Prob. 105PECh. 5.3 - Prob. 106PECh. 5.3 - Prob. 107PECh. 5.3 - Prob. 108PECh. 5.3 - In Exercises 107-110, find the exact value of each...Ch. 5.3 - Prob. 110PECh. 5.3 - 111. Use a right triangle to write as an...Ch. 5.3 - Prob. 112PECh. 5.3 - Prob. 113PECh. 5.3 - Prob. 114PECh. 5.3 - Prob. 115PECh. 5.3 - Prob. 116PECh. 5.3 - Prob. 117PECh. 5.3 - Prob. 118PECh. 5.3 - Prob. 1MCCPCh. 5.3 - Prob. 2MCCPCh. 5.3 - Prob. 3MCCPCh. 5.3 - Prob. 4MCCPCh. 5.3 - Prob. 5MCCPCh. 5.3 - Prob. 6MCCPCh. 5.3 - Prob. 7MCCPCh. 5.3 - Prob. 8MCCPCh. 5.3 - In Exercises 1-18, verify each identity....Ch. 5.3 - Prob. 10MCCPCh. 5.3 - Prob. 11MCCPCh. 5.3 - Prob. 12MCCPCh. 5.3 - Prob. 13MCCPCh. 5.3 - Prob. 14MCCPCh. 5.3 - Prob. 15MCCPCh. 5.3 - Prob. 16MCCPCh. 5.3 - Prob. 17MCCPCh. 5.3 - Prob. 18MCCPCh. 5.3 - Prob. 19MCCPCh. 5.3 - Prob. 20MCCPCh. 5.3 - Prob. 21MCCPCh. 5.3 - Prob. 22MCCPCh. 5.3 - Prob. 23MCCPCh. 5.3 - Prob. 24MCCPCh. 5.3 - Prob. 25MCCPCh. 5.3 - Prob. 26MCCPCh. 5.4 - Check Point 1 Express each of the following...Ch. 5.4 - Prob. 2CPCh. 5.4 - Prob. 3CPCh. 5.4 - Prob. 1CVCCh. 5.4 - Prob. 2CVCCh. 5.4 - Prob. 3CVCCh. 5.4 - Prob. 4CVCCh. 5.4 - Prob. 5CVCCh. 5.4 - Prob. 6CVCCh. 5.4 - Prob. 7CVCCh. 5.4 - Prob. 8CVCCh. 5.4 - Be sure that you’ve familiarized yourself with the...Ch. 5.4 - Prob. 2PECh. 5.4 - Prob. 3PECh. 5.4 - Prob. 4PECh. 5.4 - Prob. 5PECh. 5.4 - Prob. 6PECh. 5.4 - Prob. 7PECh. 5.4 - Prob. 8PECh. 5.4 - Prob. 9PECh. 5.4 - Prob. 10PECh. 5.4 - Prob. 11PECh. 5.4 - Prob. 12PECh. 5.4 - Prob. 13PECh. 5.4 - Prob. 14PECh. 5.4 - Prob. 15PECh. 5.4 - Prob. 16PECh. 5.4 - Prob. 17PECh. 5.4 - Prob. 18PECh. 5.4 - Prob. 19PECh. 5.4 - Prob. 20PECh. 5.4 - Prob. 21PECh. 5.4 - Prob. 22PECh. 5.4 - Prob. 23PECh. 5.4 - Prob. 24PECh. 5.4 - Prob. 25PECh. 5.4 - Prob. 26PECh. 5.4 - Prob. 27PECh. 5.4 - Prob. 28PECh. 5.4 - Prob. 29PECh. 5.4 - Prob. 30PECh. 5.4 - Prob. 31PECh. 5.4 - Prob. 32PECh. 5.4 - Prob. 33PECh. 5.4 - Prob. 34PECh. 5.4 - Prob. 35PECh. 5.4 - Prob. 36PECh. 5.4 - Prob. 37PECh. 5.4 - Prob. 38PECh. 5.4 - Prob. 39PECh. 5.4 - In Exercises 39-42, use words to describe the...Ch. 5.4 - Prob. 41PECh. 5.4 - Prob. 42PECh. 5.4 - Describe identities that can be verified using the...Ch. 5.4 - Prob. 44PECh. 5.4 - Prob. 45PECh. 5.4 - Prob. 46PECh. 5.4 - Prob. 47PECh. 5.4 - Prob. 48PECh. 5.4 - Prob. 49PECh. 5.4 - Prob. 50PECh. 5.4 - Prob. 51PECh. 5.4 - Prob. 52PECh. 5.4 - Prob. 53PECh. 5.4 - Make Sense? In Exercises 52-55, determine whether...Ch. 5.4 - Prob. 55PECh. 5.4 - Prob. 56PECh. 5.4 - Prob. 57PECh. 5.4 - Prob. 58PECh. 5.4 - Prob. 59PECh. 5.4 - Prob. 60PECh. 5.4 - Prob. 61PECh. 5.4 - Prob. 62PECh. 5.4 - 63. A circle has a radius of 8 inches. Find the...Ch. 5.4 - Prob. 64PECh. 5.4 - Prob. 65PECh. 5.4 - Prob. 66PECh. 5.4 - Prob. 67PECh. 5.4 - Prob. 68PECh. 5.5 - Check Point 1 Solve the equation: 5sinx=3sinx+3Ch. 5.5 - Prob. 2CPCh. 5.5 - Prob. 3CPCh. 5.5 - Prob. 4CPCh. 5.5 - Prob. 5CPCh. 5.5 - Check Point 6 Solve the equation: .
Ch. 5.5 - Prob. 7CPCh. 5.5 - Prob. 8CPCh. 5.5 - Prob. 9CPCh. 5.5 - Prob. 10CPCh. 5.5 - Check Point 11 Solve each equation, correct to...Ch. 5.5 - Prob. 12CPCh. 5.5 - Prob. 1CVCCh. 5.5 - Prob. 2CVCCh. 5.5 - Prob. 3CVCCh. 5.5 - Prob. 4CVCCh. 5.5 - Prob. 5CVCCh. 5.5 - Prob. 6CVCCh. 5.5 - Prob. 7CVCCh. 5.5 - Prob. 8CVCCh. 5.5 - In Exercises 1-10, use substitution to determine...Ch. 5.5 - Prob. 1PECh. 5.5 - In Exercises 1-10, use substitution to determine...Ch. 5.5 - Prob. 3PECh. 5.5 - Prob. 4PECh. 5.5 - Prob. 5PECh. 5.5 - Prob. 6PECh. 5.5 - Prob. 7PECh. 5.5 - Prob. 8PECh. 5.5 - Prob. 9PECh. 5.5 - Prob. 10PECh. 5.5 - In Exercises 11-24, find all solutions of each...Ch. 5.5 - Prob. 12PECh. 5.5 - Prob. 13PECh. 5.5 - Prob. 14PECh. 5.5 - Prob. 15PECh. 5.5 - Prob. 16PECh. 5.5 - Prob. 17PECh. 5.5 - Prob. 18PECh. 5.5 - Prob. 19PECh. 5.5 - Prob. 20PECh. 5.5 - In Exercises 11-24, find all solutions of each...Ch. 5.5 - Prob. 22PECh. 5.5 - Prob. 23PECh. 5.5 - Prob. 24PECh. 5.5 - Prob. 25PECh. 5.5 - Prob. 26PECh. 5.5 - Prob. 27PECh. 5.5 - Prob. 28PECh. 5.5 - Prob. 29PECh. 5.5 - Prob. 30PECh. 5.5 - Prob. 31PECh. 5.5 - Prob. 32PECh. 5.5 - Prob. 33PECh. 5.5 - Prob. 34PECh. 5.5 - Prob. 35PECh. 5.5 - Prob. 36PECh. 5.5 - Exercises 25-38 involve equations with multiple...Ch. 5.5 - Prob. 38PECh. 5.5 - Prob. 39PECh. 5.5 - Prob. 40PECh. 5.5 - Prob. 41PECh. 5.5 - Prob. 42PECh. 5.5 - Prob. 43PECh. 5.5 - Prob. 44PECh. 5.5 - Prob. 45PECh. 5.5 - Prob. 46PECh. 5.5 - Prob. 47PECh. 5.5 - Prob. 48PECh. 5.5 - Prob. 49PECh. 5.5 - Prob. 50PECh. 5.5 - Prob. 51PECh. 5.5 - Prob. 52PECh. 5.5 - Prob. 53PECh. 5.5 - Prob. 54PECh. 5.5 - Prob. 55PECh. 5.5 - Prob. 56PECh. 5.5 - Prob. 57PECh. 5.5 - Prob. 58PECh. 5.5 - Prob. 59PECh. 5.5 - Prob. 60PECh. 5.5 - Prob. 61PECh. 5.5 - Prob. 62PECh. 5.5 - Prob. 63PECh. 5.5 - In Exercises 63-84, use an identity to solve each...Ch. 5.5 - Prob. 65PECh. 5.5 - In Exercises 63-84, use an identity to solve each...Ch. 5.5 - Prob. 67PECh. 5.5 - Prob. 68PECh. 5.5 - Prob. 69PECh. 5.5 - Prob. 70PECh. 5.5 - Prob. 71PECh. 5.5 - Prob. 72PECh. 5.5 - In Exercises 63-84, use an identity to solve each...Ch. 5.5 - Prob. 74PECh. 5.5 - Prob. 75PECh. 5.5 - Prob. 76PECh. 5.5 - Prob. 77PECh. 5.5 - Prob. 78PECh. 5.5 - Prob. 79PECh. 5.5 - Prob. 80PECh. 5.5 - Prob. 81PECh. 5.5 - In Exercises 63-84, use an identity to solve each...Ch. 5.5 - Prob. 83PECh. 5.5 - In Exercises 63-84, use an identity to solve each...Ch. 5.5 - Prob. 85PECh. 5.5 - Prob. 86PECh. 5.5 - Prob. 87PECh. 5.5 - Prob. 88PECh. 5.5 - Prob. 89PECh. 5.5 - Prob. 90PECh. 5.5 - Prob. 91PECh. 5.5 - Prob. 92PECh. 5.5 - Prob. 93PECh. 5.5 - Prob. 94PECh. 5.5 - Prob. 95PECh. 5.5 - Prob. 96PECh. 5.5 - Prob. 97PECh. 5.5 - Prob. 98PECh. 5.5 - Prob. 99PECh. 5.5 - Prob. 100PECh. 5.5 - Prob. 101PECh. 5.5 - Prob. 102PECh. 5.5 - Prob. 103PECh. 5.5 - Prob. 104PECh. 5.5 - Prob. 105PECh. 5.5 - Prob. 106PECh. 5.5 - Prob. 107PECh. 5.5 - Prob. 108PECh. 5.5 - Prob. 109PECh. 5.5 - Prob. 110PECh. 5.5 - Prob. 111PECh. 5.5 - Prob. 112PECh. 5.5 - Prob. 113PECh. 5.5 - In Exercises 97-116, use the most appropriate...Ch. 5.5 - Prob. 115PECh. 5.5 - Prob. 116PECh. 5.5 - Prob. 117PECh. 5.5 - Prob. 118PECh. 5.5 - Prob. 119PECh. 5.5 - Prob. 120PECh. 5.5 - Prob. 121PECh. 5.5 - Prob. 122PECh. 5.5 - Prob. 123PECh. 5.5 - Prob. 124PECh. 5.5 - Prob. 125PECh. 5.5 - Prob. 126PECh. 5.5 - Prob. 127PECh. 5.5 - Prob. 128PECh. 5.5 - Prob. 129PECh. 5.5 - Prob. 130PECh. 5.5 - Prob. 131PECh. 5.5 - Prob. 132PECh. 5.5 - Prob. 133PECh. 5.5 - Prob. 134PECh. 5.5 - Prob. 135PECh. 5.5 - Prob. 136PECh. 5.5 - Prob. 137PECh. 5.5 - Prob. 138PECh. 5.5 - Prob. 139PECh. 5.5 - Prob. 140PECh. 5.5 - Prob. 141PECh. 5.5 - Prob. 142PECh. 5.5 - Prob. 143PECh. 5.5 - Prob. 144PECh. 5.5 - Prob. 145PECh. 5.5 - Prob. 146PECh. 5.5 - Prob. 147PECh. 5.5 - Prob. 148PECh. 5.5 - Prob. 149PECh. 5.5 - Prob. 150PECh. 5.5 - Prob. 151PECh. 5.5 - Make Sense? In Exercises 152-155, determine...Ch. 5.5 - Prob. 153PECh. 5.5 - Prob. 154PECh. 5.5 - Prob. 155PECh. 5.5 - Prob. 156PECh. 5.5 - Prob. 157PECh. 5.5 - Prob. 158PECh. 5.5 - Prob. 159PECh. 5.5 - Prob. 160PECh. 5.5 - Prob. 161PECh. 5.5 - Prob. 162PECh. 5.5 - Prob. 163PECh. 5.5 - Prob. 164PECh. 5.5 - Prob. 165PECh. 5.5 - Prob. 166PECh. 5.5 - Prob. 167PECh. 5.5 - Prob. 168PECh. 5 - In Exercises 1-13, verify each identity....Ch. 5 - In Exercises 1-13, verify each identity.
2.
Ch. 5 - Prob. 3RECh. 5 - In Exercises 1-13, verify each identity....Ch. 5 - Prob. 5RECh. 5 - Prob. 6RECh. 5 - Prob. 7RECh. 5 - In Exercises 1-13, verify each identity....Ch. 5 - Prob. 9RECh. 5 - Prob. 10RECh. 5 - Prob. 11RECh. 5 - Prob. 12RECh. 5 - Prob. 13RECh. 5 - Prob. 14RECh. 5 - Prob. 15RECh. 5 - Prob. 16RECh. 5 - Prob. 17RECh. 5 - Prob. 18RECh. 5 - Prob. 19RECh. 5 - Prob. 20RECh. 5 - Prob. 21RECh. 5 - Prob. 22RECh. 5 - Prob. 23RECh. 5 - Prob. 24RECh. 5 - Prob. 25RECh. 5 - Prob. 26RECh. 5 - Prob. 27RECh. 5 - Prob. 28RECh. 5 - Prob. 29RECh. 5 - Prob. 30RECh. 5 - Prob. 31RECh. 5 - Prob. 32RECh. 5 - Prob. 33RECh. 5 - Prob. 34RECh. 5 - Prob. 35RECh. 5 - Prob. 36RECh. 5 - Prob. 37RECh. 5 - Prob. 38RECh. 5 - Prob. 39RECh. 5 - Prob. 40RECh. 5 - Prob. 41RECh. 5 - Prob. 42RECh. 5 - Prob. 43RECh. 5 - Prob. 44RECh. 5 - Prob. 45RECh. 5 - Prob. 46RECh. 5 - Prob. 47RECh. 5 - Prob. 48RECh. 5 - Prob. 49RECh. 5 - Prob. 50RECh. 5 - Prob. 51RECh. 5 - Prob. 52RECh. 5 - Prob. 53RECh. 5 - Prob. 54RECh. 5 - Prob. 55RECh. 5 - Prob. 56RECh. 5 - Prob. 57RECh. 5 - Prob. 58RECh. 5 - Prob. 59RECh. 5 - Prob. 60RECh. 5 - Prob. 61RECh. 5 - Prob. 62RECh. 5 - Prob. 63RECh. 5 - Prob. 64RECh. 5 - Prob. 65RECh. 5 - Prob. 66RECh. 5 - Prob. 67RECh. 5 - Prob. 68RECh. 5 - Prob. 69RECh. 5 - Prob. 1TCh. 5 - Prob. 2TCh. 5 - Prob. 3TCh. 5 - Prob. 4TCh. 5 - Prob. 5TCh. 5 - Prob. 6TCh. 5 - Prob. 7TCh. 5 - Prob. 8TCh. 5 - Prob. 9TCh. 5 - In Exercises 6-11, verify each identity.
10.
Ch. 5 - Prob. 11TCh. 5 - Prob. 12TCh. 5 - Prob. 13TCh. 5 - Prob. 14TCh. 5 - Prob. 15TCh. 5 - In Exercises 12-18, solve each equation on the...Ch. 5 - Prob. 17TCh. 5 - Prob. 18TCh. 5 - Prob. 1CRECh. 5 - Prob. 2CRECh. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - Prob. 6CRECh. 5 - Prob. 7CRECh. 5 - Prob. 8CRECh. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Prob. 13CRECh. 5 - Prob. 14CRECh. 5 - Prob. 15CRECh. 5 - Prob. 16CRECh. 5 - Prob. 17CRECh. 5 - Prob. 18CRECh. 5 - Prob. 19CRECh. 5 - Prob. 20CRE
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- -b±√√b2-4ac 2a @4x²-12x+9=0 27 de febrero de 2025 -b±√√b2-4ac 2a ⑥2x²-4x-1=0 a = 4 b=-12 c=9 a = 2 b = 9 c = \ x=-42±√(2-4 (4) (9) 2(4)) X = (12) ±√44)-(360) 2(108) x = ±√ X = =±√√²-4(2) (1) 2() X = ±√ + X = X = + X₁ = = X₁ = X₁ = + X₁ = = =arrow_forward3.9 (A/B). A beam ABCDE, with A on the left, is 7 m long and is simply supported at Band E. The lengths of the various portions are AB 1-5m, BC = 1-5m, CD = 1 m and DE : 3 m. There is a uniformly distributed load of 15kN/m between B and a point 2m to the right of B and concentrated loads of 20 KN act at 4 and 0 with one of 50 KN at C. (a) Draw the S.F. diagrams and hence determine the position from A at which the S.F. is zero. (b) Determine the value of the B.M. at this point. (c) Sketch the B.M. diagram approximately to scale, quoting the principal values. [3.32 m, 69.8 KNm, 0, 30, 69.1, 68.1, 0 kNm.]arrow_forward4. Verify that V X (aẢ) = (Va) XẢ + aV X Ả where Ả = xyz(x + y + 2) A and a = 3xy + 4zx by carrying out the detailed differentiations.arrow_forward
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