Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Chapter 1.3, Problem 37EQ
To determine
The distance between the parallel planes.
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2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?
A clothing manufacturer's profitability
can be modeled by p (x)=-x4 + 40x² - 144, where .x
is the number of items sold in thousands and p (x) is
the company's profit in thousands of dollars.
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Chapter 1 Solutions
Linear Algebra: A Modern Introduction
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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