LINEAR ALGEBRA: MODERN INTRO
4th Edition
ISBN: 9780357539262
Author: POOLE
Publisher: CENGAGE L
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Chapter 1.2, Problem 27EQ
To determine
To find: The angle between u and v.
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Last Chance Mine (LCM) purchased a coal deposit for $2,918,300. It estimated it would extract 18,950 tons of coal from the
deposit. LCM mined the coal and sold it, reporting gross receipts of $1.24 million, $13 million, and $11 million for years 1
through 3, respectively. During years 1-3, LCM reported net income (loss) from the coal deposit activity in the amount of
($11,400), $550,000, and $502,500, respectively. In years 1-3, LCM extracted 19,950 tons of coal as follows:
(1) Tons of
Coal
18,950
Depletion
(2) Basis (2)(1) Rate
$2,918,300 $154.00
Tons Extracted per Year
Year 1
4,500
Year 2
8,850
Year 3
6,600
Note: Leave no answer blank. Enter zero if applicable. Enter your answers in dollars and not in millions of dollars.
a. What is LCM's cost depletion for years 1, 2, and 3?
Cost Depletion
Year 1
Year 2
Year 3
Consider the following equation.
log1/9'
=6
Find the value of x.
Round your answer to the nearest thousandth.
x =
✓
Expanding a logarithmic expression: Problem type 3
Use the properties of logarithms to expand the following expression.
4(8+x)²
log
5
)
Your answer should not have radicals or exponents.
You may assume that all variables are positive.
log
4(8 +
X
5
-x)²
Chapter 1 Solutions
LINEAR ALGEBRA: MODERN INTRO
Ch. 1.1 - Draw the following vectors in standard position in...Ch. 1.1 - Prob. 2EQCh. 1.1 - Prob. 3EQCh. 1.1 - For each of the following pairs of points, draw...Ch. 1.1 - Prob. 12EQCh. 1.1 - In Figure 1.24, A, B, C, D, E, and F are the...Ch. 1.1 - In Exercises 15 and 16, simplify the given vector...Ch. 1.1 - In Exercises 15 and 16, simplify the given vector...Ch. 1.1 - In Exercises 17 and 18, solve for the vector x in...Ch. 1.1 - In Exercises 17 and 18, solve for the vector x in...
Ch. 1.1 - In Exercises 19 and 20, draw the coordinate axes...Ch. 1.1 - In Exercises 21 and 22, draw the standard...Ch. 1.1 - In Exercises 25-28, u and v are binary vectors....Ch. 1.1 - In Exercises 25-28, u and v are binary vectors....Ch. 1.1 - In Exercises 25-28, u and v are binary vectors....Ch. 1.1 - In Exercises 25-28, u and v are binary vectors....Ch. 1.1 - Write out the addition and multiplication tables...Ch. 1.1 - Write out the addition and multiplication tables...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - Prob. 39EQCh. 1.1 - Prob. 40EQCh. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 31-43, perform the indicated...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - Prob. 51EQCh. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.1 - Prob. 54EQCh. 1.1 - In Exercises 44-55, solve the given equation or...Ch. 1.2 - In Exercises 1-6, find .
1.
Ch. 1.2 - In Exercises 1-6, find .
2.
Ch. 1.2 - In Exercises 1-6, find uv. u=[123],v=[231]Ch. 1.2 - In Exercises 1-6, find uv....Ch. 1.2 - In Exercises 13-16, find the distance...Ch. 1.2 - In Exercises 1-6, find .
6.
Ch. 1.2 - In Exercises 7-12, find for the given exercise,...Ch. 1.2 - In Exercises 7-12, find u for the given exercise,...Ch. 1.2 - In Exercises 7-12, find for the given exercise,...Ch. 1.2 - In Exercises 7-12, find u for the given exercise,...Ch. 1.2 - In Exercises 7-12, find for the given exercise,...Ch. 1.2 - In Exercises 7-12, find u for the given exercise,...Ch. 1.2 - In Exercises 13-16, find the distance between and...Ch. 1.2 - In Exercises 13-16, find the distance between and...Ch. 1.2 - Prob. 15EQCh. 1.2 - Prob. 16EQCh. 1.2 - In Exercises 18-23, determine whether the angle...Ch. 1.2 - In Exercises 18-23, determine whether the angle...Ch. 1.2 - In Exercises 18-23, determine whether the angle...Ch. 1.2 - In Exercises 18-23, determine whether the angle...Ch. 1.2 - In Exercises 18-23, determine whether the angle...Ch. 1.2 - Prob. 23EQCh. 1.2 - Prob. 24EQCh. 1.2 - Prob. 25EQCh. 1.2 - Prob. 26EQCh. 1.2 - Prob. 27EQCh. 1.2 - Prob. 28EQCh. 1.2 - Prob. 29EQCh. 1.2 -
In Exercises 40-45, find the projection of v onto...Ch. 1.2 - In Exercises 40-45, find the projection of vontou....Ch. 1.2 - Prob. 44EQCh. 1.2 - Prob. 45EQCh. 1.2 - In Exercises 48 and 49, find all values of the...Ch. 1.2 - In Exercises 48 and 49, find all values of the...Ch. 1.2 - Describe all vectors v=[xy] that are orthogonal to...Ch. 1.3 - In Exercises 1 and 2, write the equation of the...Ch. 1.3 - In Exercises 1 and 2, write the equation of the...Ch. 1.3 - Prob. 3EQCh. 1.3 - Prob. 4EQCh. 1.3 - Prob. 5EQCh. 1.3 - In Exercises 3-6, write the equation of the line...Ch. 1.3 - Prob. 7EQCh. 1.3 - In Exercises 7 and 8, write the equation of the...Ch. 1.3 - Prob. 9EQCh. 1.3 - In Exercises 9 and 10, write the equation of the...Ch. 1.3 - Prob. 11EQCh. 1.3 - In Exercises 11 and 12, give the vector equation...Ch. 1.3 - In Exercises 13 and 14, give the vector equation...Ch. 1.3 - In Exercises 13 and 14, give the vector equation...Ch. 1.3 - Find parametric equations and an equation in...Ch. 1.3 - Prob. 18EQCh. 1.3 - Prob. 19EQCh. 1.3 - 20. Find the vector form of the equation of the...Ch. 1.3 - Find the vector form of the equation of the line...Ch. 1.3 - Find the vector form of the equation of the line...Ch. 1.3 - Prob. 23EQCh. 1.3 - 24. Find the normal form of the equation of the...Ch. 1.3 - 26. Find the equation of the set of all points...Ch. 1.3 - In Exercises 27 and 28, find the distance from the...Ch. 1.3 - In Exercises 29 and 30, find the distance from the...Ch. 1.3 - Prob. 30EQCh. 1.3 - In Exercises 35 and 36, find the distance between...Ch. 1.3 - Prob. 37EQCh. 1.3 - In Exercises 37 and 38, find the distance between...Ch. 1.3 - In Exercises 43-44, find the acute angle between...Ch. 1.3 - Prob. 44EQCh. 1.4 - A sign hanging outside Joes Diner has a mass of 50...Ch. 1 - Mark each of the following statements true or...Ch. 1 - 2. If , and the vector is drawn with its tail at...Ch. 1 - 3. If , and , solve for x.
Ch. 1 - Prob. 5RQCh. 1 - 6. Find the projection of .
Ch. 1 - 7. Find a unit vector in the xy-plane that is...Ch. 1 - 8. Find the general equation of the plane through...Ch. 1 - Find the general equation of the plane through the...Ch. 1 - 10. Find the general equation of the plane through...Ch. 1 - 12. Find the midpoint of the line segment...Ch. 1 - Prob. 13RQCh. 1 - 14. Find the distance from the point to the plane...Ch. 1 - Find the distance from the point (3,2,5) to the...Ch. 1 - Prob. 16RQCh. 1 - Prob. 17RQCh. 1 - 18. If possible, solve .
Ch. 1 - Prob. 19RQ
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