Basic Technical Mathematics
11th Edition
ISBN: 9780134437705
Author: Washington
Publisher: PEARSON
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Question
Chapter 21.2, Problem 5E
To determine
The equation of the line passes through the point
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Let A be a vector space with basis 1, a, b. Which (if any) of the following rules
turn A into an algebra? (You may assume that 1 is a unit.)
(i) a² = a, b² = ab = ba = 0.
(ii) a²=b, b² = ab = ba = 0.
(iii) a²=b, b² = b, ab = ba = 0.
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= 1. Show
(a) Let G = Z/nZ be a cyclic group, so G = {1, 9, 92,...,g" } with g":
that the group algebra KG has a presentation KG = K(X)/(X” — 1).
(b) Let A = K[X] be the algebra of polynomials in X. Let V be the A-module
with vector space K2 and where the action of X is given by the matrix
Compute End(V) in the cases
(i) x = p,
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(c) If M and N are submodules of a module L, prove that there is an isomorphism
M/MON (M+N)/N.
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You may assume that MON is a submodule of M, M + N is a submodule of L
and the First Isomorphism Theorem for modules.
Chapter 21 Solutions
Basic Technical Mathematics
Ch. 21.1 - Find the distance between (−2, 6) and (5, −3).
Ch. 21.1 - Prob. 2PECh. 21.1 - Prob. 1ECh. 21.1 - Prob. 2ECh. 21.1 - Prob. 5ECh. 21.1 - In Exercises 5–14, find the distance between the...Ch. 21.1 - Prob. 7ECh. 21.1 - Prob. 8ECh. 21.1 - Prob. 9ECh. 21.1 - Prob. 10E
Ch. 21.1 - Prob. 11ECh. 21.1 - Prob. 12ECh. 21.1 - Prob. 13ECh. 21.1 - Prob. 14ECh. 21.1 - Prob. 15ECh. 21.1 - In Exercises 15–24, find the slopes of the lines...Ch. 21.1 - Prob. 17ECh. 21.1 - Prob. 18ECh. 21.1 - Prob. 19ECh. 21.1 - Prob. 20ECh. 21.1 - In Exercises 15–24, find the slopes of the lines...Ch. 21.1 - Prob. 22ECh. 21.1 - Prob. 23ECh. 21.1 - Prob. 24ECh. 21.1 - Prob. 25ECh. 21.1 - In Exercises 25–28, find the slopes of the lines...Ch. 21.1 - In Exercises 25–28, find the slopes of the lines...Ch. 21.1 - Prob. 28ECh. 21.1 - Prob. 29ECh. 21.1 - Prob. 30ECh. 21.1 - Prob. 31ECh. 21.1 - Prob. 32ECh. 21.1 - Prob. 33ECh. 21.1 - In Exercises 33–36, determine whether the lines...Ch. 21.1 - Prob. 35ECh. 21.1 - Prob. 36ECh. 21.1 - Prob. 37ECh. 21.1 - Prob. 38ECh. 21.1 - Prob. 39ECh. 21.1 - Prob. 40ECh. 21.1 - Prob. 41ECh. 21.1 - Prob. 42ECh. 21.1 - Prob. 43ECh. 21.1 - Prob. 44ECh. 21.1 - Prob. 45ECh. 21.1 - Prob. 46ECh. 21.1 - Prob. 47ECh. 21.1 - Prob. 48ECh. 21.1 - Prob. 49ECh. 21.1 - Prob. 50ECh. 21.1 - Prob. 51ECh. 21.1 - Prob. 52ECh. 21.1 - Prob. 53ECh. 21.1 - Prob. 54ECh. 21.1 - Prob. 55ECh. 21.1 - Prob. 56ECh. 21.1 - Prob. 57ECh. 21.1 - Prob. 58ECh. 21.1 - Prob. 59ECh. 21.1 - Prob. 60ECh. 21.1 - Prob. 61ECh. 21.1 - In Exercises 53–66, solve the given...Ch. 21.1 - Prob. 63ECh. 21.1 - Prob. 64ECh. 21.1 - Prob. 65ECh. 21.1 - Prob. 66ECh. 21.2 - Find the equation of the straight line that passes...Ch. 21.2 - Prob. 2PECh. 21.2 - Prob. 3PECh. 21.2 - Prob. 1ECh. 21.2 - Prob. 2ECh. 21.2 - Prob. 3ECh. 21.2 - Prob. 4ECh. 21.2 - Prob. 5ECh. 21.2 - Prob. 6ECh. 21.2 - Prob. 7ECh. 21.2 - Prob. 8ECh. 21.2 - Prob. 9ECh. 21.2 - Prob. 10ECh. 21.2 - Prob. 11ECh. 21.2 - Prob. 12ECh. 21.2 - Prob. 13ECh. 21.2 - Prob. 14ECh. 21.2 - Prob. 15ECh. 21.2 - In Exercises 5–20, find the equation of each of...Ch. 21.2 - In Exercises 5–20, find the equation of each of...Ch. 21.2 - Prob. 18ECh. 21.2 - Prob. 19ECh. 21.2 - Prob. 20ECh. 21.2 - Prob. 21ECh. 21.2 - In Exercises 21–28, reduce the equations to...Ch. 21.2 - In Exercises 21–28, reduce the equations to...Ch. 21.2 - Prob. 24ECh. 21.2 - Prob. 25ECh. 21.2 - Prob. 26ECh. 21.2 - Prob. 27ECh. 21.2 - Prob. 28ECh. 21.2 - Prob. 29ECh. 21.2 - In Exercises 29–36, determine whether the given...Ch. 21.2 - Prob. 31ECh. 21.2 - Prob. 32ECh. 21.2 - Prob. 33ECh. 21.2 - Prob. 34ECh. 21.2 - Prob. 35ECh. 21.2 - Prob. 36ECh. 21.2 - Prob. 37ECh. 21.2 - Prob. 38ECh. 21.2 - Prob. 39ECh. 21.2 - Prob. 40ECh. 21.2 - Prob. 41ECh. 21.2 - Prob. 42ECh. 21.2 - Prob. 43ECh. 21.2 - Prob. 44ECh. 21.2 - Prob. 45ECh. 21.2 - Prob. 46ECh. 21.2 - Prob. 47ECh. 21.2 - Prob. 48ECh. 21.2 - Prob. 49ECh. 21.2 - Prob. 50ECh. 21.2 - Prob. 51ECh. 21.2 - Prob. 52ECh. 21.2 - Prob. 53ECh. 21.2 - Prob. 54ECh. 21.2 - Prob. 55ECh. 21.2 - Prob. 56ECh. 21.2 - Prob. 57ECh. 21.2 - Prob. 58ECh. 21.2 -
A light beam is reflected off the edge of an...Ch. 21.2 - Prob. 60ECh. 21.2 - Prob. 61ECh. 21.2 - Prob. 62ECh. 21.2 - Prob. 63ECh. 21.2 - Prob. 64ECh. 21.2 - Prob. 65ECh. 21.2 - Prob. 66ECh. 21.2 - Prob. 67ECh. 21.2 - Prob. 68ECh. 21.3 - Prob. 1PECh. 21.3 - Prob. 2PECh. 21.3 - Prob. 3PECh. 21.3 - Prob. 1ECh. 21.3 - Prob. 2ECh. 21.3 - Prob. 3ECh. 21.3 - Prob. 4ECh. 21.3 - Prob. 5ECh. 21.3 - Prob. 6ECh. 21.3 - Prob. 7ECh. 21.3 - Prob. 8ECh. 21.3 - Prob. 9ECh. 21.3 - Prob. 10ECh. 21.3 - Prob. 11ECh. 21.3 - Prob. 12ECh. 21.3 - Prob. 13ECh. 21.3 - Prob. 14ECh. 21.3 - Prob. 15ECh. 21.3 - Prob. 16ECh. 21.3 - Prob. 17ECh. 21.3 - Prob. 18ECh. 21.3 - Prob. 19ECh. 21.3 - Prob. 20ECh. 21.3 - Prob. 21ECh. 21.3 - Prob. 22ECh. 21.3 - Prob. 23ECh. 21.3 - Prob. 24ECh. 21.3 - Prob. 25ECh. 21.3 - In Exercises 25–36, determine the center and...Ch. 21.3 - Prob. 27ECh. 21.3 - Prob. 28ECh. 21.3 - Prob. 29ECh. 21.3 - Prob. 30ECh. 21.3 - Prob. 31ECh. 21.3 - Prob. 32ECh. 21.3 - Prob. 33ECh. 21.3 - Prob. 34ECh. 21.3 - Prob. 35ECh. 21.3 - Prob. 36ECh. 21.3 - Prob. 37ECh. 21.3 - Prob. 38ECh. 21.3 - Prob. 39ECh. 21.3 - Prob. 40ECh. 21.3 - Prob. 41ECh. 21.3 - Prob. 42ECh. 21.3 - Prob. 43ECh. 21.3 - Prob. 44ECh. 21.3 - Prob. 45ECh. 21.3 - Prob. 46ECh. 21.3 - Prob. 47ECh. 21.3 - Prob. 48ECh. 21.3 - Prob. 49ECh. 21.3 - In Exercises 41–68, solve the given problems.
When...Ch. 21.3 - Prob. 51ECh. 21.3 - In Exercises 41–68, solve the given problems.
Use...Ch. 21.3 - In Exercises 41–68, solve the given problems.
What...Ch. 21.3 - In Exercises 41–68, solve the given problems.
What...Ch. 21.3 - In Exercises 41–68, solve the given problems.
Is...Ch. 21.3 - In Exercises 41–68, solve the given problems.
Find...Ch. 21.3 - In Exercises 41–68, solve the given problems.
For...Ch. 21.3 - Prob. 58ECh. 21.3 - Prob. 59ECh. 21.3 - Prob. 60ECh. 21.3 - In Exercises 41–68, solve the given problems.
In a...Ch. 21.3 - Prob. 62ECh. 21.3 - Prob. 63ECh. 21.3 - Prob. 64ECh. 21.3 - Find the equation describing the rim of a circular...Ch. 21.3 - Prob. 66ECh. 21.3 - Prob. 67ECh. 21.3 - Prob. 68ECh. 21.4 - Find the coordinates of the focus and the equation...Ch. 21.4 - Prob. 2PECh. 21.4 - Prob. 1ECh. 21.4 - Prob. 2ECh. 21.4 - Prob. 3ECh. 21.4 - Prob. 4ECh. 21.4 - Prob. 5ECh. 21.4 - Prob. 6ECh. 21.4 - Prob. 7ECh. 21.4 - In Exercises 5–16, determine the coordinates of...Ch. 21.4 - Prob. 9ECh. 21.4 - Prob. 10ECh. 21.4 - Prob. 11ECh. 21.4 - Prob. 12ECh. 21.4 - Prob. 13ECh. 21.4 - Prob. 14ECh. 21.4 - Prob. 15ECh. 21.4 - Prob. 16ECh. 21.4 - Prob. 17ECh. 21.4 - Prob. 18ECh. 21.4 - Prob. 19ECh. 21.4 - Prob. 20ECh. 21.4 - Prob. 21ECh. 21.4 - Prob. 22ECh. 21.4 - Prob. 23ECh. 21.4 - Prob. 24ECh. 21.4 - Prob. 25ECh. 21.4 - Prob. 26ECh. 21.4 - Prob. 27ECh. 21.4 - Prob. 28ECh. 21.4 - Prob. 29ECh. 21.4 - Prob. 30ECh. 21.4 - Prob. 31ECh. 21.4 - Prob. 32ECh. 21.4 - In Exercises 31–58, solve the given problems.
Find...Ch. 21.4 - Prob. 34ECh. 21.4 - Prob. 35ECh. 21.4 - Prob. 36ECh. 21.4 - Prob. 37ECh. 21.4 - Prob. 38ECh. 21.4 - Prob. 39ECh. 21.4 - Prob. 40ECh. 21.4 - Prob. 41ECh. 21.4 - Prob. 43ECh. 21.4 - Prob. 44ECh. 21.4 - Prob. 45ECh. 21.4 - Prob. 46ECh. 21.4 - Prob. 48ECh. 21.4 - Prob. 49ECh. 21.4 - Prob. 50ECh. 21.4 - Prob. 51ECh. 21.4 - Prob. 52ECh. 21.4 - Prob. 53ECh. 21.4 - Prob. 54ECh. 21.4 - Prob. 55ECh. 21.4 - Prob. 56ECh. 21.4 - Prob. 57ECh. 21.4 - Prob. 58ECh. 21.5 - Find the vertices and foci of each ellipse.
Ch. 21.5 - Prob. 2PECh. 21.5 - Prob. 3PECh. 21.5 - Prob. 1ECh. 21.5 - Prob. 2ECh. 21.5 - Prob. 3ECh. 21.5 - Prob. 4ECh. 21.5 - Prob. 5ECh. 21.5 - In Exercises 3–16, find the coordinates of the...Ch. 21.5 - Prob. 7ECh. 21.5 - Prob. 8ECh. 21.5 - Prob. 9ECh. 21.5 - Prob. 10ECh. 21.5 - Prob. 11ECh. 21.5 - Prob. 12ECh. 21.5 - Prob. 13ECh. 21.5 - Prob. 14ECh. 21.5 - Prob. 15ECh. 21.5 - Prob. 16ECh. 21.5 - In Exercises 17–28, find the equations of the...Ch. 21.5 - Prob. 18ECh. 21.5 - Prob. 19ECh. 21.5 - Prob. 20ECh. 21.5 - Prob. 21ECh. 21.5 - Prob. 22ECh. 21.5 - Prob. 23ECh. 21.5 - Prob. 24ECh. 21.5 - Prob. 25ECh. 21.5 - In Exercises 17–28, find the equations of the...Ch. 21.5 - Prob. 27ECh. 21.5 - Prob. 28ECh. 21.5 - Prob. 29ECh. 21.5 - Prob. 30ECh. 21.5 - Prob. 31ECh. 21.5 - Prob. 32ECh. 21.5 - Prob. 33ECh. 21.5 - Prob. 34ECh. 21.5 - Prob. 35ECh. 21.5 - In Exercises 29–56, solve the given problems.
36....Ch. 21.5 - Prob. 37ECh. 21.5 - Prob. 38ECh. 21.5 - Prob. 39ECh. 21.5 - Prob. 40ECh. 21.5 - In Exercises 29–56, solve the given problems.
41....Ch. 21.5 - Prob. 42ECh. 21.5 - Prob. 43ECh. 21.5 - Prob. 44ECh. 21.5 - Prob. 45ECh. 21.5 - Prob. 46ECh. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - Prob. 48ECh. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.5 - In Exercises 29–56, solve the given...Ch. 21.6 - Find the vertices and foci of each hyperbola.
Ch. 21.6 - Prob. 2PECh. 21.6 - Prob. 3PECh. 21.6 - Prob. 1ECh. 21.6 - Prob. 2ECh. 21.6 - Prob. 3ECh. 21.6 - Prob. 4ECh. 21.6 - Prob. 5ECh. 21.6 - In Exercises 3–16, find the coordinates of the...Ch. 21.6 - Prob. 7ECh. 21.6 - Prob. 8ECh. 21.6 - Prob. 9ECh. 21.6 - Prob. 10ECh. 21.6 - Prob. 11ECh. 21.6 - In Exercises 3–16, find the coordinates of the...Ch. 21.6 - Prob. 13ECh. 21.6 - Prob. 14ECh. 21.6 - Prob. 15ECh. 21.6 - Prob. 16ECh. 21.6 - Prob. 17ECh. 21.6 - Prob. 18ECh. 21.6 - Prob. 19ECh. 21.6 - Prob. 20ECh. 21.6 - Prob. 21ECh. 21.6 - Prob. 22ECh. 21.6 - Prob. 23ECh. 21.6 - Prob. 24ECh. 21.6 - Prob. 25ECh. 21.6 - Prob. 26ECh. 21.6 - Prob. 27ECh. 21.6 - Prob. 28ECh. 21.6 - Prob. 29ECh. 21.6 - Prob. 30ECh. 21.6 - Prob. 31ECh. 21.6 - Prob. 32ECh. 21.6 - Prob. 33ECh. 21.6 - Prob. 34ECh. 21.6 - Prob. 35ECh. 21.6 - Prob. 36ECh. 21.6 - Prob. 37ECh. 21.6 - Prob. 38ECh. 21.6 - Prob. 39ECh. 21.6 - Prob. 40ECh. 21.6 - Prob. 41ECh. 21.6 - Prob. 42ECh. 21.6 - Prob. 43ECh. 21.6 - Prob. 44ECh. 21.6 - Prob. 45ECh. 21.6 - Prob. 46ECh. 21.6 - Prob. 47ECh. 21.6 - Prob. 48ECh. 21.6 - Prob. 49ECh. 21.6 - In Exercises 29–54, solve the given...Ch. 21.6 - In Exercises 29–54, solve the given...Ch. 21.6 - In Exercises 29–54, solve the given...Ch. 21.6 - In Exercises 29–54, solve the given...Ch. 21.6 - Prob. 54ECh. 21.7 - Find the center and foci of ellipse
.
Ch. 21.7 - Prob. 1ECh. 21.7 - Prob. 2ECh. 21.7 - Prob. 3ECh. 21.7 - In Exercises 3–10, describe the curve represented...Ch. 21.7 - Prob. 5ECh. 21.7 - Prob. 6ECh. 21.7 - Prob. 7ECh. 21.7 - In Exercises 3–10, describe the curve represented...Ch. 21.7 - In Exercises 3–10, describe the curve represented...Ch. 21.7 - Prob. 10ECh. 21.7 - Prob. 11ECh. 21.7 - Prob. 12ECh. 21.7 - Prob. 13ECh. 21.7 - Prob. 14ECh. 21.7 - Prob. 15ECh. 21.7 - Prob. 16ECh. 21.7 - Prob. 17ECh. 21.7 - Prob. 18ECh. 21.7 - Prob. 19ECh. 21.7 - Prob. 20ECh. 21.7 - Prob. 21ECh. 21.7 - Prob. 22ECh. 21.7 - Prob. 23ECh. 21.7 - Prob. 24ECh. 21.7 - Prob. 25ECh. 21.7 - Prob. 26ECh. 21.7 - Prob. 27ECh. 21.7 - Prob. 28ECh. 21.7 - Prob. 29ECh. 21.7 - Prob. 30ECh. 21.7 - Prob. 31ECh. 21.7 - Prob. 32ECh. 21.7 - Prob. 33ECh. 21.7 - Prob. 34ECh. 21.7 - Prob. 35ECh. 21.7 - Prob. 36ECh. 21.7 - Prob. 37ECh. 21.7 - Prob. 38ECh. 21.7 - Prob. 39ECh. 21.7 - Prob. 40ECh. 21.7 - Prob. 41ECh. 21.7 - Prob. 42ECh. 21.7 - Prob. 43ECh. 21.7 - Prob. 44ECh. 21.7 - Prob. 45ECh. 21.7 - Prob. 46ECh. 21.7 - Prob. 47ECh. 21.7 - Prob. 48ECh. 21.7 - Prob. 49ECh. 21.7 - Prob. 50ECh. 21.7 - Prob. 51ECh. 21.7 - Prob. 52ECh. 21.7 - Prob. 53ECh. 21.7 - Prob. 54ECh. 21.8 - Identify the type of curve represented by each...Ch. 21.8 - Prob. 2PECh. 21.8 - Prob. 1ECh. 21.8 - Prob. 2ECh. 21.8 - Prob. 3ECh. 21.8 - Prob. 4ECh. 21.8 - Prob. 5ECh. 21.8 - Prob. 6ECh. 21.8 - Prob. 7ECh. 21.8 - Prob. 8ECh. 21.8 - Prob. 9ECh. 21.8 - In Exercises 3–24, identify each of the equations...Ch. 21.8 - Prob. 11ECh. 21.8 - Prob. 12ECh. 21.8 - Prob. 13ECh. 21.8 - Prob. 14ECh. 21.8 - Prob. 15ECh. 21.8 - Prob. 16ECh. 21.8 - Prob. 17ECh. 21.8 - Prob. 18ECh. 21.8 - Prob. 19ECh. 21.8 - Prob. 20ECh. 21.8 - Prob. 21ECh. 21.8 - Prob. 22ECh. 21.8 - Prob. 23ECh. 21.8 - Prob. 24ECh. 21.8 - Prob. 25ECh. 21.8 - Prob. 26ECh. 21.8 - Prob. 27ECh. 21.8 - Prob. 28ECh. 21.8 - Prob. 29ECh. 21.8 - Prob. 30ECh. 21.8 - Prob. 31ECh. 21.8 - Prob. 32ECh. 21.8 - Prob. 33ECh. 21.8 - Prob. 34ECh. 21.8 - Prob. 35ECh. 21.8 - Prob. 36ECh. 21.8 - Prob. 37ECh. 21.8 - Prob. 38ECh. 21.8 - Prob. 39ECh. 21.8 - Prob. 40ECh. 21.8 - Prob. 41ECh. 21.8 - Prob. 42ECh. 21.8 - Prob. 43ECh. 21.8 - Prob. 44ECh. 21.8 - Prob. 45ECh. 21.8 - Prob. 46ECh. 21.8 - Prob. 47ECh. 21.8 - Prob. 48ECh. 21.9 - Prob. 1PECh. 21.9 - Prob. 2PECh. 21.9 - Prob. 3PECh. 21.9 - Prob. 1ECh. 21.9 - Prob. 2ECh. 21.9 - Prob. 3ECh. 21.9 - Prob. 4ECh. 21.9 - Prob. 5ECh. 21.9 - Prob. 6ECh. 21.9 - Prob. 7ECh. 21.9 - Prob. 8ECh. 21.9 - Prob. 9ECh. 21.9 - Prob. 10ECh. 21.9 - Prob. 11ECh. 21.9 - Prob. 12ECh. 21.9 - Prob. 13ECh. 21.9 - Prob. 14ECh. 21.9 - Prob. 15ECh. 21.9 - Prob. 16ECh. 21.9 - Prob. 17ECh. 21.9 - Prob. 18ECh. 21.9 - Prob. 19ECh. 21.9 - Prob. 20ECh. 21.9 - Prob. 21ECh. 21.9 - Prob. 22ECh. 21.9 - Prob. 23ECh. 21.9 - Prob. 24ECh. 21.9 - Prob. 25ECh. 21.9 - Prob. 26ECh. 21.10 - Prob. 1PECh. 21.10 - Prob. 2PECh. 21.10 - Prob. 1ECh. 21.10 - Prob. 2ECh. 21.10 - Prob. 3ECh. 21.10 - Prob. 4ECh. 21.10 - Prob. 5ECh. 21.10 - Prob. 6ECh. 21.10 - Prob. 7ECh. 21.10 - Prob. 8ECh. 21.10 - Prob. 9ECh. 21.10 - Prob. 10ECh. 21.10 - Prob. 11ECh. 21.10 - Prob. 12ECh. 21.10 - Prob. 13ECh. 21.10 - Prob. 14ECh. 21.10 - Prob. 15ECh. 21.10 - Prob. 16ECh. 21.10 - Prob. 17ECh. 21.10 - Prob. 18ECh. 21.10 - Prob. 19ECh. 21.10 - Prob. 20ECh. 21.10 - Prob. 21ECh. 21.10 - Prob. 22ECh. 21.10 - Prob. 23ECh. 21.10 - Prob. 24ECh. 21.10 - Prob. 25ECh. 21.10 - Prob. 26ECh. 21.10 - Prob. 27ECh. 21.10 - Prob. 28ECh. 21.10 - Prob. 29ECh. 21.10 - Prob. 30ECh. 21.10 - Prob. 31ECh. 21.10 - Prob. 32ECh. 21.10 - Prob. 33ECh. 21.10 - Prob. 34ECh. 21.10 - Prob. 35ECh. 21.10 - Prob. 36ECh. 21.10 - Prob. 37ECh. 21.10 - Prob. 38ECh. 21.10 - Prob. 39ECh. 21.10 - Prob. 40ECh. 21.10 - Prob. 41ECh. 21.10 - Prob. 42ECh. 21.10 - Prob. 43ECh. 21.10 - Prob. 44ECh. 21.10 - Prob. 45ECh. 21.10 - Prob. 46ECh. 21.10 - Prob. 47ECh. 21.10 - Prob. 48ECh. 21.10 - Prob. 49ECh. 21.10 - Prob. 50ECh. 21.10 - Prob. 51ECh. 21.10 - Prob. 52ECh. 21.10 - Prob. 53ECh. 21.10 - Prob. 54ECh. 21.10 - Prob. 55ECh. 21.10 - Prob. 56ECh. 21.10 - Prob. 57ECh. 21.10 - Prob. 58ECh. 21.10 - Prob. 59ECh. 21.10 - Prob. 60ECh. 21.11 - Prob. 1PECh. 21.11 - Prob. 2PECh. 21.11 - Prob. 1ECh. 21.11 - Prob. 2ECh. 21.11 - Prob. 3ECh. 21.11 - Prob. 4ECh. 21.11 - Prob. 5ECh. 21.11 - Prob. 6ECh. 21.11 - Prob. 7ECh. 21.11 - Prob. 8ECh. 21.11 - Prob. 9ECh. 21.11 - Prob. 10ECh. 21.11 - Prob. 11ECh. 21.11 - Prob. 12ECh. 21.11 - Prob. 13ECh. 21.11 - Prob. 14ECh. 21.11 - Prob. 15ECh. 21.11 - Prob. 16ECh. 21.11 - Prob. 17ECh. 21.11 - Prob. 18ECh. 21.11 - Prob. 19ECh. 21.11 - Prob. 20ECh. 21.11 - Prob. 21ECh. 21.11 - Prob. 22ECh. 21.11 - Prob. 23ECh. 21.11 - Prob. 24ECh. 21.11 - Prob. 25ECh. 21.11 - Prob. 26ECh. 21.11 - Prob. 27ECh. 21.11 - Prob. 28ECh. 21.11 - Prob. 29ECh. 21.11 - Prob. 30ECh. 21.11 - Prob. 31ECh. 21.11 - Prob. 32ECh. 21.11 - Prob. 33ECh. 21.11 - Prob. 34ECh. 21.11 - Prob. 35ECh. 21.11 - Prob. 36ECh. 21.11 - Prob. 37ECh. 21.11 - Prob. 38ECh. 21.11 - Prob. 39ECh. 21.11 - Prob. 40ECh. 21.11 - Prob. 41ECh. 21.11 - Prob. 42ECh. 21.11 - Prob. 43ECh. 21.11 - Prob. 44ECh. 21.11 - Prob. 45ECh. 21.11 - Prob. 46ECh. 21.11 - Prob. 47ECh. 21.11 - Prob. 48ECh. 21.11 - Prob. 49ECh. 21.11 - Prob. 50ECh. 21.11 - Prob. 51ECh. 21.11 - In Exercises 43–54, solve the given problems:...Ch. 21.11 - Prob. 53ECh. 21.11 - Prob. 54ECh. 21 - Prob. 1RECh. 21 - Prob. 2RECh. 21 - Prob. 3RECh. 21 - Prob. 4RECh. 21 - Prob. 5RECh. 21 - Prob. 6RECh. 21 - Prob. 7RECh. 21 - Prob. 8RECh. 21 - Prob. 9RECh. 21 - Prob. 10RECh. 21 - Prob. 11RECh. 21 - Prob. 12RECh. 21 - Prob. 13RECh. 21 - Prob. 14RECh. 21 - Prob. 15RECh. 21 - Prob. 16RECh. 21 - Prob. 17RECh. 21 - Prob. 18RECh. 21 - Prob. 19RECh. 21 - Prob. 20RECh. 21 - Prob. 21RECh. 21 - Prob. 22RECh. 21 - Prob. 23RECh. 21 - Prob. 24RECh. 21 - Prob. 25RECh. 21 - Prob. 26RECh. 21 - Prob. 27RECh. 21 - Prob. 28RECh. 21 - Prob. 29RECh. 21 - Prob. 30RECh. 21 - Prob. 31RECh. 21 - Prob. 32RECh. 21 - Prob. 33RECh. 21 - Prob. 34RECh. 21 - Prob. 35RECh. 21 - Prob. 36RECh. 21 - Prob. 37RECh. 21 - Prob. 38RECh. 21 - Prob. 39RECh. 21 - Prob. 40RECh. 21 - Prob. 41RECh. 21 - Prob. 42RECh. 21 - Prob. 43RECh. 21 - Prob. 44RECh. 21 - Prob. 45RECh. 21 - Prob. 46RECh. 21 - Prob. 47RECh. 21 - Prob. 48RECh. 21 - Prob. 49RECh. 21 - Prob. 50RECh. 21 - Prob. 51RECh. 21 - In Exercises 49–52, find the rectangular equation...Ch. 21 - Prob. 53RECh. 21 - Prob. 54RECh. 21 - Prob. 55RECh. 21 - Prob. 56RECh. 21 - Prob. 57RECh. 21 - Prob. 58RECh. 21 - Prob. 59RECh. 21 - Prob. 60RECh. 21 - Prob. 61RECh. 21 - Prob. 62RECh. 21 - Prob. 63RECh. 21 - Prob. 64RECh. 21 - Prob. 65RECh. 21 - Prob. 66RECh. 21 - Prob. 67RECh. 21 - Prob. 68RECh. 21 - Prob. 69RECh. 21 - Prob. 70RECh. 21 - Prob. 71RECh. 21 - Prob. 72RECh. 21 - Prob. 73RECh. 21 - Prob. 74RECh. 21 - Prob. 75RECh. 21 - Prob. 76RECh. 21 - Prob. 77RECh. 21 - Prob. 78RECh. 21 - Prob. 79RECh. 21 - Prob. 80RECh. 21 - Prob. 81RECh. 21 - Prob. 82RECh. 21 - Prob. 83RECh. 21 - Prob. 84RECh. 21 - Prob. 85RECh. 21 - Prob. 86RECh. 21 - Prob. 87RECh. 21 - Prob. 88RECh. 21 - Prob. 89RECh. 21 - Prob. 90RECh. 21 - Prob. 91RECh. 21 - Prob. 92RECh. 21 - Prob. 93RECh. 21 - Prob. 94RECh. 21 - Prob. 95RECh. 21 - Prob. 96RECh. 21 - Prob. 97RECh. 21 - Prob. 98RECh. 21 - Prob. 99RECh. 21 - Prob. 100RECh. 21 - Prob. 111RECh. 21 - Prob. 112RECh. 21 - Prob. 118RECh. 21 - Prob. 121RECh. 21 - Prob. 1PTCh. 21 - Prob. 2PTCh. 21 - Prob. 3PTCh. 21 - Prob. 4PTCh. 21 - Prob. 5PTCh. 21 - Prob. 6PTCh. 21 - Prob. 7PTCh. 21 - Prob. 8PTCh. 21 - Prob. 9PT
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