Basic Technical Mathematics with Calculus (11th Edition)
11th Edition
ISBN: 9780134437736
Author: Allyn J. Washington, Richard Evans
Publisher: PEARSON
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Chapter 21.4, Problem 35E
To determine
To view: The graph of the parabola
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Select all solids for which the formula V = Bh applies.
A. a triangular prism B. a triangular pyramid C. a square pyramid D. a rectangular prism E. a cone F. a cylinder
1. For the following subsets of R3, explain whether or not they are a subspace of R³.
(a)
(b)
1.1
0.65
U
= span
-3.4
0.23
0.4
-0.44
0
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a
V
{(2) | ER
(c) Z= the points in the z-axis
Show that i
cote +1 = cosec 20
tan 20+1 = sec² O
२
cos² + sin 20 = 1
using pythagon's theorem
Chapter 21 Solutions
Basic Technical Mathematics with Calculus (11th Edition)
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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- This is my h/w ,Required to find the region of shaded sector ,I don't really know how to deal with this tasks ,so if someone could help me to understand them it would be awesome,and sorry for my poor Englisharrow_forwardThe U.S. Postal Service will ship a Priority Mail® Large Flat Rate Box (12" 3 12" 3 5½") any where in the United States for a fixed price, regardless of weight. The weights (ounces) of 20 ran domly chosen boxes are shown below. (a) Make a stem-and-leaf diagram. (b) Make a histogram. (c) Describe the shape of the distribution. Weights 72 86 28 67 64 65 45 86 31 32 39 92 90 91 84 62 80 74 63 86arrow_forward(a) What is a bimodal histogram? (b) Explain the difference between left-skewed, symmetric, and right-skewed histograms. (c) What is an outlierarrow_forward
- △DEF△DEF has vertices D(0, 2) and F(6, 2). If △DEF△DEF has an area of 12 square units, select all the possible coordinates for E.arrow_forward2. In a computer network some pairs of computers are connected by network cables. Your goal is to set up the computers so that messages can be sent quickly from any computer to any other computer. For this you have identified each of the n com- puters uniquely with a number between 1 and n, and have decided that a message should consist of two such numbers, identifying the sender and the recipient, fol- lowed by the content of the message. As cables are relatively short, you can assume that sending a message across a single cable takes an amount of time that is the same irrespective of the length of the cable. You can further assume that at most one message travels between computer at any point, so that you don't have to worry about inference among messages. (a) Define a graph or network that models the computer network and allows you to answer the remaining parts of this question. (b) Consider two computers, a sender and a recipient. Using the graph or network you have defined,…arrow_forward3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с 1 el+g5 al-c5 110 d al+cl 180 e f g f5-el c1+c2 2 al+b1 a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2 (d) Can…arrow_forward
- 1. Let W, U, and S be graphs defined as follows: • V(W) is the set of countries in the world; • V(U) is the set of countries in the European Union; V(S) is the set of countries in the Schengen Area; ● for X = {W,U,S}, E(X) is the set of pairs of countries in V(X) that share a land border. Recall that land borders between countries in the Schengen Area are special in that they can be crossed without a passport. (a) The notions of a country and a land border are somewhat ambiguous. Explain the notions you will use to get a precise definition of the graphs W, U, and S. (b) Is S a subgraph of U? Is U an induced subgraph of W? Justify your answers. (c) Using non-mathematical language, explain what it means for a country x if VEV(S) and dw (v) = 0. Give all such countries. Let A = {v Є V(W) \V(S) such that |Nw(v)| > 0 and Nw (v) ≤ V(S)}. (d) Using non-mathematical language, explain what the set A represents in terms of countries and land borders. Give a specific element of A or explain why A…arrow_forward3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с d e f g 1 el+g5 al-c5 110 al+cl 180 f5-el c1+c2 2 al+bl a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 gl+g2 (d) Can…arrow_forwardt 56 65 33arrow_forward
- Solution: Solution: 7.2 2x²+5x-3. Diagram: till sh one The Steps the same technique as in 4 and 5) above to factor the following Show all the Steps. "Diagram, (2) 03) But (be Wha x+2 3arrow_forwardQ/ solving Laplace equation on Rectangular Rejon a xx+uyy = o u (x, 0) = u(x,2) = 0 u (o,y) = y (1,y) = 27arrow_forwardSolve the following equation forx. leave answer in Simplified radical form. 5x²-4x-3=6arrow_forward
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