College Algebra Essentials
1st Edition
ISBN: 9780078035616
Author: Julie Miller
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 1.3, Problem 102PE
To determine
To calculate: The standard form of the expression
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Co Given
show that
Solution
Take home
Су-15
1994
+19
09/2
4
=a
log
суто
-
1092
ж
= a-1
2+1+8
AI | SHOT ON S4
INFINIX CAMERA
a
Question 7. If det d e f
ghi
V3
= 2. Find det
-1
2
Question 8. Let A = 1
4
5
0
3
2.
1 Find adj (A)
2 Find det (A)
3
Find A-1
2g 2h 2i
-e-f
-d
273
2a 2b 2c
Question 1. Solve the system
-
x1 x2 + 3x3 + 2x4
-x1 + x22x3 + x4
2x12x2+7x3+7x4
Question 2. Consider the system
= 1
=-2
= 1
3x1 - x2 + ax3
= 1
x1 + 3x2 + 2x3
x12x2+2x3
= -b
= 4
1 For what values of a, b will the system be inconsistent?
2 For what values of a, b will the system have only one solution?
For what values of a, b will the saystem have infinitely many solutions?
Chapter 1 Solutions
College Algebra Essentials
Ch. 1.1 - Skill Practice 1 Solve. 5(v - 4) - 2 = 2(v + 7) -...Ch. 1.1 - Prob. 2SPCh. 1.1 - Prob. 3SPCh. 1.1 - Prob. 4SPCh. 1.1 - Prob. 5SPCh. 1.1 - Prob. 6SPCh. 1.1 - Prob. 7SPCh. 1.1 - Prob. 8SPCh. 1.1 - Prob. 9SPCh. 1.1 - Prob. 1PE
Ch. 1.1 - Prob. 2PECh. 1.1 - Prob. 3PECh. 1.1 - Prob. 4PECh. 1.1 - Prob. 5PECh. 1.1 - Prob. 6PECh. 1.1 - Prob. 7PECh. 1.1 - Prob. 8PECh. 1.1 - Prob. 9PECh. 1.1 - Prob. 10PECh. 1.1 - Prob. 11PECh. 1.1 - Prob. 12PECh. 1.1 - Prob. 13PECh. 1.1 - Prob. 14PECh. 1.1 - Prob. 15PECh. 1.1 - Prob. 16PECh. 1.1 - Prob. 17PECh. 1.1 - Prob. 18PECh. 1.1 - Prob. 19PECh. 1.1 - Prob. 20PECh. 1.1 - For Exercises 15-34, solve the equation. 2.3 = 4.5...Ch. 1.1 - Prob. 22PECh. 1.1 - Prob. 23PECh. 1.1 - Prob. 24PECh. 1.1 - Prob. 25PECh. 1.1 - Prob. 26PECh. 1.1 - Prob. 27PECh. 1.1 - Prob. 28PECh. 1.1 - Prob. 29PECh. 1.1 - Prob. 30PECh. 1.1 - Prob. 31PECh. 1.1 - Prob. 32PECh. 1.1 - Prob. 33PECh. 1.1 - Prob. 34PECh. 1.1 - Prob. 35PECh. 1.1 - Prob. 36PECh. 1.1 - Prob. 37PECh. 1.1 - Prob. 38PECh. 1.1 - Prob. 39PECh. 1.1 - Prob. 40PECh. 1.1 - Prob. 41PECh. 1.1 - Prob. 42PECh. 1.1 - Prob. 43PECh. 1.1 - Prob. 44PECh. 1.1 - Prob. 45PECh. 1.1 - Prob. 46PECh. 1.1 - Prob. 47PECh. 1.1 - Prob. 48PECh. 1.1 - Prob. 49PECh. 1.1 - Prob. 50PECh. 1.1 - Prob. 51PECh. 1.1 - Prob. 52PECh. 1.1 - Prob. 53PECh. 1.1 - Prob. 54PECh. 1.1 - Prob. 55PECh. 1.1 - Prob. 56PECh. 1.1 - Prob. 57PECh. 1.1 - Prob. 58PECh. 1.1 - Prob. 59PECh. 1.1 - For Exercises 53-68, solve the equation. (See...Ch. 1.1 - Prob. 61PECh. 1.1 - Prob. 62PECh. 1.1 - Prob. 63PECh. 1.1 - Prob. 64PECh. 1.1 - Prob. 65PECh. 1.1 - Prob. 66PECh. 1.1 - Prob. 67PECh. 1.1 - Prob. 68PECh. 1.1 - Prob. 69PECh. 1.1 - Prob. 70PECh. 1.1 - Prob. 71PECh. 1.1 - Prob. 72PECh. 1.1 - Prob. 73PECh. 1.1 - Prob. 74PECh. 1.1 - Prob. 75PECh. 1.1 - Prob. 76PECh. 1.1 - Prob. 77PECh. 1.1 - Prob. 78PECh. 1.1 - Prob. 79PECh. 1.1 - Prob. 80PECh. 1.1 - Prob. 81PECh. 1.1 - Prob. 82PECh. 1.1 - Prob. 83PECh. 1.1 - Prob. 84PECh. 1.1 - Prob. 85PECh. 1.1 - Prob. 86PECh. 1.1 - Prob. 87PECh. 1.1 - Prob. 88PECh. 1.1 - Prob. 89PECh. 1.1 - Prob. 90PECh. 1.1 - Prob. 91PECh. 1.1 - Prob. 92PECh. 1.1 - Prob. 93PECh. 1.1 - Prob. 94PECh. 1.1 - Prob. 95PECh. 1.1 - Prob. 96PECh. 1.1 - Prob. 97PECh. 1.1 - Prob. 98PECh. 1.1 - Prob. 99PECh. 1.1 - Prob. 100PECh. 1.1 - Prob. 101PECh. 1.1 - Prob. 102PECh. 1.1 - Prob. 103PECh. 1.1 - Prob. 104PECh. 1.1 - Suppose that 40 deer are introduced in a protected...Ch. 1.1 - Prob. 106PECh. 1.1 - Prob. 107PECh. 1.1 - Prob. 108PECh. 1.1 - Prob. 109PECh. 1.1 - Prob. 110PECh. 1.1 - Prob. 111PECh. 1.1 - Prob. 112PECh. 1.1 - Prob. 113PECh. 1.1 - Prob. 114PECh. 1.1 - Prob. 115PECh. 1.1 - Prob. 116PECh. 1.1 - Prob. 117PECh. 1.1 - Prob. 118PECh. 1.1 - Prob. 119PECh. 1.1 - Prob. 120PECh. 1.1 - Prob. 121PECh. 1.1 - Prob. 122PECh. 1.2 - Prob. 1SPCh. 1.2 - Prob. 2SPCh. 1.2 - Prob. 3SPCh. 1.2 - Prob. 4SPCh. 1.2 - Prob. 5SPCh. 1.2 - Skill Practice 6 Sheldon and Penny were awarded a...Ch. 1.2 - Skill Practice 7 For the 104th Congress, there...Ch. 1.2 - Prob. 1PECh. 1.2 - For Exercises 1-4, write each phrase as an...Ch. 1.2 - Prob. 3PECh. 1.2 - Prob. 4PECh. 1.2 - Prob. 5PECh. 1.2 - Prob. 6PECh. 1.2 - Prob. 7PECh. 1.2 - Prob. 8PECh. 1.2 - Prob. 9PECh. 1.2 - Prob. 10PECh. 1.2 - Prob. 11PECh. 1.2 - Prob. 12PECh. 1.2 - Prob. 13PECh. 1.2 - Prob. 14PECh. 1.2 - Prob. 15PECh. 1.2 - Prob. 16PECh. 1.2 - The perimeter of a rectangular lot of land is 440...Ch. 1.2 - Prob. 18PECh. 1.2 - Prob. 19PECh. 1.2 - Prob. 20PECh. 1.2 - Prob. 21PECh. 1.2 - Prob. 22PECh. 1.2 - Prob. 23PECh. 1.2 - Prob. 24PECh. 1.2 - Prob. 25PECh. 1.2 - Prob. 26PECh. 1.2 - Prob. 27PECh. 1.2 - Prob. 28PECh. 1.2 - Prob. 29PECh. 1.2 - Prob. 30PECh. 1.2 - Prob. 31PECh. 1.2 - A nurse mixes 60 cc of a 50% saline solution with...Ch. 1.2 - The density and strength of concrete are...Ch. 1.2 - Prob. 34PECh. 1.2 - Prob. 35PECh. 1.2 - Prob. 36PECh. 1.2 - Prob. 37PECh. 1.2 - Prob. 38PECh. 1.2 - Prob. 39PECh. 1.2 - Prob. 40PECh. 1.2 - Prob. 41PECh. 1.2 - Prob. 42PECh. 1.2 - Prob. 43PECh. 1.2 - Prob. 44PECh. 1.2 - Prob. 45PECh. 1.2 - Prob. 46PECh. 1.2 - Prob. 47PECh. 1.2 - Prob. 48PECh. 1.2 - Prob. 49PECh. 1.2 - Prob. 50PECh. 1.2 - Prob. 51PECh. 1.2 - Prob. 52PECh. 1.2 - Prob. 53PECh. 1.2 - Prob. 54PECh. 1.2 - Prob. 55PECh. 1.2 - Prob. 56PECh. 1.2 - Prob. 57PECh. 1.2 - Prob. 58PECh. 1.2 - Prob. 59PECh. 1.2 - Prob. 60PECh. 1.2 - Prob. 61PECh. 1.2 - Prob. 62PECh. 1.2 - Prob. 63PECh. 1.2 - Prob. 64PECh. 1.2 - Prob. 65PECh. 1.2 - Prob. 66PECh. 1.2 - Prob. 67PECh. 1.2 - Prob. 68PECh. 1.2 - Prob. 69PECh. 1.2 - Prob. 70PECh. 1.2 - Prob. 71PECh. 1.2 - Prob. 72PECh. 1.2 - Prob. 73PECh. 1.2 - Prob. 74PECh. 1.2 - Prob. 75PECh. 1.2 - Prob. 76PECh. 1.2 - Prob. 77PECh. 1.2 - Prob. 78PECh. 1.2 - Prob. 79PECh. 1.2 - Prob. 80PECh. 1.2 - Prob. 81PECh. 1.2 - Prob. 82PECh. 1.2 - Prob. 83PECh. 1.2 - Prob. 84PECh. 1.3 - Prob. 1SPCh. 1.3 - Prob. 2SPCh. 1.3 - Prob. 3SPCh. 1.3 - Prob. 4SPCh. 1.3 - Prob. 5SPCh. 1.3 - Prob. 6SPCh. 1.3 - Prob. 7SPCh. 1.3 - Prob. 8SPCh. 1.3 - Prob. 1PECh. 1.3 - Prob. 2PECh. 1.3 - Prob. 3PECh. 1.3 - Prob. 4PECh. 1.3 - Prob. 5PECh. 1.3 - Prob. 6PECh. 1.3 - Prob. 7PECh. 1.3 - Prob. 8PECh. 1.3 - Prob. 9PECh. 1.3 - Prob. 10PECh. 1.3 - Prob. 11PECh. 1.3 - Prob. 12PECh. 1.3 - Prob. 13PECh. 1.3 - Prob. 14PECh. 1.3 - Prob. 15PECh. 1.3 - Prob. 16PECh. 1.3 - Prob. 17PECh. 1.3 - Prob. 18PECh. 1.3 - Prob. 19PECh. 1.3 - Prob. 20PECh. 1.3 - Prob. 21PECh. 1.3 - Prob. 22PECh. 1.3 - Prob. 23PECh. 1.3 - Prob. 24PECh. 1.3 - Prob. 25PECh. 1.3 - Prob. 26PECh. 1.3 - Prob. 27PECh. 1.3 - Prob. 28PECh. 1.3 - Prob. 29PECh. 1.3 - Prob. 30PECh. 1.3 - Prob. 31PECh. 1.3 - Prob. 32PECh. 1.3 - Prob. 33PECh. 1.3 - Prob. 34PECh. 1.3 - Prob. 35PECh. 1.3 - Prob. 36PECh. 1.3 - Prob. 37PECh. 1.3 - Prob. 38PECh. 1.3 - Prob. 39PECh. 1.3 - Prob. 40PECh. 1.3 - Prob. 41PECh. 1.3 - Prob. 42PECh. 1.3 - Prob. 43PECh. 1.3 - Prob. 44PECh. 1.3 - Prob. 45PECh. 1.3 - Prob. 46PECh. 1.3 - Prob. 47PECh. 1.3 - Prob. 48PECh. 1.3 - Prob. 49PECh. 1.3 - Prob. 50PECh. 1.3 - Prob. 51PECh. 1.3 - Prob. 52PECh. 1.3 - Prob. 53PECh. 1.3 - Prob. 54PECh. 1.3 - Prob. 55PECh. 1.3 - Prob. 56PECh. 1.3 - Prob. 57PECh. 1.3 - Prob. 58PECh. 1.3 - For Exercises 59-82, perform the indicated...Ch. 1.3 - Prob. 60PECh. 1.3 - Prob. 61PECh. 1.3 - Prob. 62PECh. 1.3 - Prob. 63PECh. 1.3 - Prob. 64PECh. 1.3 - Prob. 65PECh. 1.3 - Prob. 66PECh. 1.3 - Prob. 67PECh. 1.3 - Prob. 68PECh. 1.3 - Prob. 69PECh. 1.3 - Prob. 70PECh. 1.3 - Prob. 71PECh. 1.3 - Prob. 72PECh. 1.3 - Prob. 73PECh. 1.3 - Prob. 74PECh. 1.3 - Prob. 75PECh. 1.3 - Prob. 76PECh. 1.3 - Prob. 77PECh. 1.3 - Prob. 78PECh. 1.3 - Prob. 79PECh. 1.3 - Prob. 80PECh. 1.3 - Prob. 81PECh. 1.3 - Prob. 82PECh. 1.3 - Prob. 83PECh. 1.3 - Prob. 84PECh. 1.3 - Prob. 85PECh. 1.3 - Prob. 86PECh. 1.3 - Prob. 87PECh. 1.3 - Prob. 88PECh. 1.3 - Prob. 89PECh. 1.3 - Prob. 90PECh. 1.3 - Prob. 91PECh. 1.3 - Prob. 92PECh. 1.3 - Prob. 93PECh. 1.3 - Prob. 94PECh. 1.3 - Prob. 95PECh. 1.3 - Prob. 96PECh. 1.3 - Prob. 97PECh. 1.3 - Prob. 98PECh. 1.3 - Prob. 99PECh. 1.3 - Prob. 100PECh. 1.3 - Prob. 101PECh. 1.3 - Prob. 102PECh. 1.3 - Prob. 103PECh. 1.3 - Prob. 104PECh. 1.3 - Prob. 105PECh. 1.3 - Prob. 106PECh. 1.3 - Prob. 107PECh. 1.3 - Prob. 108PECh. 1.3 - Prob. 109PECh. 1.3 - Prob. 110PECh. 1.3 - Prob. 111PECh. 1.3 - Prob. 112PECh. 1.3 - Prob. 113PECh. 1.3 - Prob. 114PECh. 1.3 - Prob. 115PECh. 1.3 - Prob. 116PECh. 1.3 - Prob. 117PECh. 1.3 - Prob. 118PECh. 1.3 - Prob. 119PECh. 1.3 - Prob. 120PECh. 1.3 - Prob. 121PECh. 1.3 - Prob. 122PECh. 1.3 - Prob. 123PECh. 1.3 - Prob. 124PECh. 1.3 - Prob. 125PECh. 1.3 - Prob. 126PECh. 1.3 - Prob. 127PECh. 1.3 - Prob. 128PECh. 1.4 - Prob. 1SPCh. 1.4 - Prob. 2SPCh. 1.4 - Prob. 3SPCh. 1.4 - Prob. 4SPCh. 1.4 - Prob. 5SPCh. 1.4 - Prob. 6SPCh. 1.4 - Prob. 7SPCh. 1.4 - Prob. 8SPCh. 1.4 - Prob. 9SPCh. 1.4 - Skill Practice 10 Solve for p. cp2 - dp = kCh. 1.4 - For Exercises 1-4, factor completely. 5 t2 + 7 t -...Ch. 1.4 - Prob. 2PECh. 1.4 - Prob. 3PECh. 1.4 - Prob. 4PECh. 1.4 - Prob. 5PECh. 1.4 - Prob. 6PECh. 1.4 - Prob. 7PECh. 1.4 - Prob. 8PECh. 1.4 - Prob. 9PECh. 1.4 - Prob. 10PECh. 1.4 - Prob. 11PECh. 1.4 - Prob. 12PECh. 1.4 - Prob. 13PECh. 1.4 - Prob. 14PECh. 1.4 - Prob. 15PECh. 1.4 - Prob. 16PECh. 1.4 - Prob. 17PECh. 1.4 - Prob. 18PECh. 1.4 - Prob. 19PECh. 1.4 - Prob. 20PECh. 1.4 - Prob. 21PECh. 1.4 - Prob. 22PECh. 1.4 - Prob. 23PECh. 1.4 - Prob. 24PECh. 1.4 - Prob. 25PECh. 1.4 - Prob. 26PECh. 1.4 - Prob. 27PECh. 1.4 - Prob. 28PECh. 1.4 - Prob. 29PECh. 1.4 - Prob. 30PECh. 1.4 - Prob. 31PECh. 1.4 - Prob. 32PECh. 1.4 - Prob. 33PECh. 1.4 - Prob. 34PECh. 1.4 - Prob. 35PECh. 1.4 - Prob. 36PECh. 1.4 - Prob. 37PECh. 1.4 - Prob. 38PECh. 1.4 - Prob. 39PECh. 1.4 - Prob. 40PECh. 1.4 - Prob. 41PECh. 1.4 - Prob. 42PECh. 1.4 - For Exercises 43-52, solve by completing the...Ch. 1.4 - Prob. 44PECh. 1.4 - Prob. 45PECh. 1.4 - Prob. 46PECh. 1.4 - Prob. 47PECh. 1.4 - Prob. 48PECh. 1.4 - Prob. 49PECh. 1.4 - Prob. 50PECh. 1.4 - Prob. 51PECh. 1.4 - Prob. 52PECh. 1.4 - Prob. 53PECh. 1.4 - Prob. 54PECh. 1.4 - Prob. 55PECh. 1.4 - Prob. 56PECh. 1.4 - Prob. 57PECh. 1.4 - Prob. 58PECh. 1.4 - Prob. 59PECh. 1.4 - Prob. 60PECh. 1.4 - Prob. 61PECh. 1.4 - Prob. 62PECh. 1.4 - Prob. 63PECh. 1.4 - Prob. 64PECh. 1.4 - Prob. 65PECh. 1.4 - Prob. 66PECh. 1.4 - Prob. 67PECh. 1.4 - Prob. 68PECh. 1.4 - Prob. 69PECh. 1.4 - Prob. 70PECh. 1.4 - Prob. 71PECh. 1.4 - Prob. 72PECh. 1.4 - Prob. 73PECh. 1.4 - Prob. 74PECh. 1.4 - Prob. 75PECh. 1.4 - Prob. 76PECh. 1.4 - Prob. 77PECh. 1.4 - Prob. 78PECh. 1.4 - Prob. 79PECh. 1.4 - Prob. 80PECh. 1.4 - Prob. 81PECh. 1.4 - Prob. 82PECh. 1.4 - Prob. 83PECh. 1.4 - Prob. 84PECh. 1.4 - Prob. 85PECh. 1.4 - Prob. 86PECh. 1.4 - Prob. 87PECh. 1.4 - Prob. 88PECh. 1.4 - Prob. 89PECh. 1.4 - Prob. 90PECh. 1.4 - Prob. 91PECh. 1.4 - Prob. 92PECh. 1.4 - Prob. 93PECh. 1.4 - Prob. 94PECh. 1.4 - Prob. 95PECh. 1.4 - Prob. 96PECh. 1.4 - Prob. 97PECh. 1.4 - Prob. 98PECh. 1.4 - Prob. 99PECh. 1.4 - Prob. 100PECh. 1.4 - Prob. 101PECh. 1.4 - Prob. 102PECh. 1.4 - Prob. 103PECh. 1.4 - Prob. 104PECh. 1.4 - Prob. 105PECh. 1.4 - Prob. 106PECh. 1.4 - Prob. 107PECh. 1.4 - Prob. 108PECh. 1.4 - Prob. 109PECh. 1.4 - Prob. 110PECh. 1.4 - Prob. 111PECh. 1.4 - Prob. 112PECh. 1.4 - Prob. 113PECh. 1.4 - Prob. 114PECh. 1.4 - For Exercises 107-120, solve for the indicated...Ch. 1.4 - Prob. 116PECh. 1.4 - Prob. 117PECh. 1.4 - Prob. 118PECh. 1.4 - Prob. 119PECh. 1.4 - Prob. 120PECh. 1.4 - Prob. 121PECh. 1.4 - Prob. 122PECh. 1.4 - Prob. 123PECh. 1.4 - Prob. 124PECh. 1.4 - Prob. 125PECh. 1.4 - Prob. 126PECh. 1.4 - Prob. 127PECh. 1.4 - Prob. 128PECh. 1.4 - Prob. 129PECh. 1.4 - Prob. 130PECh. 1.4 - Prob. 131PECh. 1.4 - Prob. 132PECh. 1.4 - Prob. 133PECh. 1.4 - Prob. 134PECh. 1.4 - Prob. 135PECh. 1.4 - Prob. 136PECh. 1.4 - Prob. 137PECh. 1.4 - Prob. 138PECh. 1.4 - Prob. 139PECh. 1.4 - Prob. 140PECh. 1.4 - Prob. 141PECh. 1.4 - Prob. 142PECh. 1.4 - Prob. 143PECh. 1.4 - Prob. 144PECh. 1.4 - Prob. 1PRECh. 1.4 - Prob. 2PRECh. 1.4 - Prob. 3PRECh. 1.4 - Prob. 4PRECh. 1.4 - Prob. 5PRECh. 1.4 - Prob. 6PRECh. 1.4 - Prob. 7PRECh. 1.4 - Prob. 8PRECh. 1.5 - Prob. 1SPCh. 1.5 - Prob. 2SPCh. 1.5 - Prob. 3SPCh. 1.5 - Prob. 4SPCh. 1.5 - Prob. 5SPCh. 1.5 - Prob. 1PECh. 1.5 - Prob. 2PECh. 1.5 - Prob. 3PECh. 1.5 - Prob. 4PECh. 1.5 - Prob. 5PECh. 1.5 - Prob. 6PECh. 1.5 - Prob. 7PECh. 1.5 - Prob. 8PECh. 1.5 - Prob. 9PECh. 1.5 - Prob. 10PECh. 1.5 - Prob. 11PECh. 1.5 - Prob. 12PECh. 1.5 - Prob. 13PECh. 1.5 - Prob. 14PECh. 1.5 - Prob. 15PECh. 1.5 - Prob. 16PECh. 1.5 - Prob. 17PECh. 1.5 - Prob. 18PECh. 1.5 - Prob. 19PECh. 1.5 - Prob. 20PECh. 1.5 - Prob. 21PECh. 1.5 - Prob. 22PECh. 1.5 - Prob. 23PECh. 1.5 - Prob. 24PECh. 1.5 - A patio is configured from a rectangle with two...Ch. 1.5 - Prob. 26PECh. 1.5 - Prob. 27PECh. 1.5 - Prob. 28PECh. 1.5 - Prob. 29PECh. 1.5 - Prob. 30PECh. 1.5 - Prob. 31PECh. 1.5 - Prob. 32PECh. 1.5 - Prob. 33PECh. 1.5 - Prob. 34PECh. 1.5 - Prob. 35PECh. 1.5 - Prob. 36PECh. 1.5 - The distance d (in ft) required to stop a car that...Ch. 1.5 - Prob. 38PECh. 1.5 - Prob. 39PECh. 1.5 - For Exercises 39-42, use the model s= 12gt2+v 0...Ch. 1.5 - Prob. 41PECh. 1.5 - For Exercises 39-42, use the model s = - 12gt 2 +...Ch. 1.5 - Prob. 43PECh. 1.5 - Prob. 44PECh. 1.5 - Prob. 45PECh. 1.5 - Prob. 46PECh. 1.6 - Prob. 1SPCh. 1.6 - Prob. 2SPCh. 1.6 - Prob. 3SPCh. 1.6 - Prob. 4SPCh. 1.6 - Prob. 5SPCh. 1.6 - Prob. 6SPCh. 1.6 - Prob. 7SPCh. 1.6 - Prob. 8SPCh. 1.6 - Prob. 9SPCh. 1.6 - Prob. 10SPCh. 1.6 - Prob. 1PECh. 1.6 - Prob. 2PECh. 1.6 - Prob. 3PECh. 1.6 - Prob. 4PECh. 1.6 - Prob. 5PECh. 1.6 - Prob. 6PECh. 1.6 - Prob. 7PECh. 1.6 - Prob. 8PECh. 1.6 - Prob. 9PECh. 1.6 - Prob. 10PECh. 1.6 - Prob. 11PECh. 1.6 - Prob. 12PECh. 1.6 - Prob. 13PECh. 1.6 - Prob. 14PECh. 1.6 - Prob. 15PECh. 1.6 - Prob. 16PECh. 1.6 - Prob. 17PECh. 1.6 - Prob. 18PECh. 1.6 - For Exercises 19-26, solve the equation. (See...Ch. 1.6 - For Exercises 19-26, solve the equation. (See...Ch. 1.6 - Prob. 21PECh. 1.6 - Prob. 22PECh. 1.6 - Prob. 23PECh. 1.6 - Prob. 24PECh. 1.6 - Prob. 25PECh. 1.6 - Prob. 26PECh. 1.6 - Prob. 27PECh. 1.6 - Prob. 28PECh. 1.6 - Prob. 29PECh. 1.6 - Prob. 30PECh. 1.6 - Prob. 31PECh. 1.6 - Prob. 32PECh. 1.6 - Prob. 33PECh. 1.6 - Prob. 34PECh. 1.6 - Prob. 35PECh. 1.6 - Prob. 36PECh. 1.6 - Prob. 37PECh. 1.6 - Prob. 38PECh. 1.6 - Prob. 39PECh. 1.6 - Prob. 40PECh. 1.6 - Prob. 41PECh. 1.6 - Prob. 42PECh. 1.6 - Prob. 43PECh. 1.6 - Prob. 44PECh. 1.6 - Prob. 45PECh. 1.6 - Prob. 46PECh. 1.6 - Prob. 47PECh. 1.6 - Prob. 48PECh. 1.6 - Prob. 49PECh. 1.6 - Prob. 50PECh. 1.6 - Prob. 51PECh. 1.6 - Prob. 52PECh. 1.6 - Prob. 53PECh. 1.6 - Prob. 54PECh. 1.6 - Prob. 55PECh. 1.6 - Prob. 56PECh. 1.6 - Prob. 57PECh. 1.6 - Prob. 58PECh. 1.6 - Prob. 59PECh. 1.6 - Prob. 60PECh. 1.6 - Prob. 61PECh. 1.6 - Prob. 62PECh. 1.6 - Prob. 63PECh. 1.6 - Prob. 64PECh. 1.6 - Prob. 65PECh. 1.6 - Prob. 66PECh. 1.6 - Prob. 67PECh. 1.6 - Prob. 68PECh. 1.6 - Prob. 69PECh. 1.6 - Prob. 70PECh. 1.6 - Prob. 71PECh. 1.6 - Prob. 72PECh. 1.6 - Prob. 73PECh. 1.6 - Prob. 74PECh. 1.6 - Prob. 75PECh. 1.6 - Prob. 76PECh. 1.6 - Prob. 77PECh. 1.6 - Prob. 78PECh. 1.6 - Prob. 79PECh. 1.6 - Prob. 80PECh. 1.6 - Prob. 81PECh. 1.6 - Prob. 82PECh. 1.6 - Prob. 83PECh. 1.6 - Prob. 84PECh. 1.6 - Prob. 85PECh. 1.6 - Prob. 86PECh. 1.7 - Prob. 1SPCh. 1.7 - Prob. 2SPCh. 1.7 - Prob. 3SPCh. 1.7 - Prob. 4SPCh. 1.7 - Prob. 5SPCh. 1.7 - Prob. 6SPCh. 1.7 - Prob. 7SPCh. 1.7 - Prob. 8SPCh. 1.7 - Prob. 9SPCh. 1.7 - Prob. 1PECh. 1.7 - Prob. 2PECh. 1.7 - Prob. 3PECh. 1.7 - Prob. 4PECh. 1.7 - Prob. 5PECh. 1.7 - Prob. 6PECh. 1.7 - Prob. 7PECh. 1.7 - Prob. 8PECh. 1.7 - Prob. 9PECh. 1.7 - Prob. 10PECh. 1.7 - Prob. 11PECh. 1.7 - Prob. 12PECh. 1.7 - Prob. 13PECh. 1.7 - Prob. 14PECh. 1.7 - Prob. 15PECh. 1.7 - Prob. 16PECh. 1.7 - Prob. 17PECh. 1.7 - Prob. 18PECh. 1.7 - Prob. 19PECh. 1.7 - Prob. 20PECh. 1.7 - Prob. 21PECh. 1.7 - Prob. 22PECh. 1.7 - Prob. 23PECh. 1.7 - Prob. 24PECh. 1.7 - Prob. 25PECh. 1.7 - Prob. 26PECh. 1.7 - Prob. 27PECh. 1.7 - Prob. 28PECh. 1.7 - Prob. 29PECh. 1.7 - Prob. 30PECh. 1.7 - Prob. 31PECh. 1.7 - Prob. 32PECh. 1.7 - Prob. 33PECh. 1.7 - Prob. 34PECh. 1.7 - Prob. 35PECh. 1.7 - Prob. 36PECh. 1.7 - Prob. 37PECh. 1.7 - Prob. 38PECh. 1.7 - Prob. 39PECh. 1.7 - Prob. 40PECh. 1.7 - Prob. 41PECh. 1.7 - Prob. 42PECh. 1.7 - Prob. 43PECh. 1.7 - Prob. 44PECh. 1.7 - Prob. 45PECh. 1.7 - Prob. 46PECh. 1.7 - Prob. 47PECh. 1.7 - Prob. 48PECh. 1.7 - Prob. 49PECh. 1.7 - Prob. 50PECh. 1.7 - Prob. 51PECh. 1.7 - Prob. 52PECh. 1.7 - Prob. 53PECh. 1.7 - Prob. 54PECh. 1.7 - For Exercises 55-58, write a three-part inequality...Ch. 1.7 - Prob. 56PECh. 1.7 - Prob. 57PECh. 1.7 - Prob. 58PECh. 1.7 - Prob. 59PECh. 1.7 - Prob. 60PECh. 1.7 - Prob. 61PECh. 1.7 - Prob. 62PECh. 1.7 - Prob. 63PECh. 1.7 - Prob. 64PECh. 1.7 - Prob. 65PECh. 1.7 - Prob. 66PECh. 1.7 - Prob. 67PECh. 1.7 - Prob. 68PECh. 1.7 - Prob. 69PECh. 1.7 - Prob. 70PECh. 1.7 - Prob. 71PECh. 1.7 - Prob. 72PECh. 1.7 - Prob. 73PECh. 1.7 - Prob. 74PECh. 1.7 - Prob. 75PECh. 1.7 - Prob. 76PECh. 1.7 - Prob. 77PECh. 1.7 - Prob. 78PECh. 1.7 - Prob. 79PECh. 1.7 - Prob. 80PECh. 1.7 - Prob. 81PECh. 1.7 - Prob. 82PECh. 1.7 - Prob. 83PECh. 1.7 - Prob. 84PECh. 1.7 - Prob. 85PECh. 1.7 - Prob. 86PECh. 1.7 - Prob. 87PECh. 1.7 - Prob. 88PECh. 1.7 - Prob. 89PECh. 1.7 - Prob. 90PECh. 1.7 - Prob. 91PECh. 1.7 - Prob. 92PECh. 1.7 - Prob. 93PECh. 1.7 - Prob. 94PECh. 1.7 - Prob. 95PECh. 1.7 - Prob. 96PECh. 1.7 - Prob. 97PECh. 1.7 - Prob. 98PECh. 1.7 - Prob. 99PECh. 1.7 - Prob. 100PECh. 1.7 - Prob. 101PECh. 1.7 - Prob. 102PECh. 1.8 - Prob. 1SPCh. 1.8 - Prob. 2SPCh. 1.8 - Prob. 3SPCh. 1.8 - Prob. 4SPCh. 1.8 - Prob. 5SPCh. 1.8 - Prob. 6SPCh. 1.8 - Prob. 7SPCh. 1.8 - Prob. 1PECh. 1.8 - Prob. 2PECh. 1.8 - Prob. 3PECh. 1.8 - Prob. 4PECh. 1.8 - Prob. 5PECh. 1.8 - Prob. 6PECh. 1.8 - Prob. 7PECh. 1.8 - Prob. 8PECh. 1.8 - Prob. 9PECh. 1.8 - Prob. 10PECh. 1.8 - Prob. 11PECh. 1.8 - Prob. 12PECh. 1.8 - Prob. 13PECh. 1.8 - Prob. 14PECh. 1.8 - Prob. 15PECh. 1.8 - Prob. 16PECh. 1.8 - Prob. 17PECh. 1.8 - Prob. 18PECh. 1.8 - Prob. 19PECh. 1.8 - Prob. 20PECh. 1.8 - Prob. 21PECh. 1.8 - Prob. 22PECh. 1.8 - Prob. 23PECh. 1.8 - Prob. 24PECh. 1.8 - Prob. 25PECh. 1.8 - Prob. 26PECh. 1.8 - Prob. 27PECh. 1.8 - Prob. 28PECh. 1.8 - Prob. 29PECh. 1.8 - Prob. 30PECh. 1.8 - Prob. 31PECh. 1.8 - Prob. 32PECh. 1.8 - Prob. 33PECh. 1.8 - Prob. 34PECh. 1.8 - Prob. 35PECh. 1.8 - Prob. 36PECh. 1.8 - Prob. 37PECh. 1.8 - Prob. 38PECh. 1.8 - Prob. 39PECh. 1.8 - Prob. 40PECh. 1.8 - Prob. 41PECh. 1.8 - Prob. 42PECh. 1.8 - Prob. 43PECh. 1.8 - Prob. 44PECh. 1.8 - Prob. 45PECh. 1.8 - Prob. 46PECh. 1.8 - Prob. 47PECh. 1.8 - Prob. 48PECh. 1.8 - Prob. 49PECh. 1.8 - Prob. 50PECh. 1.8 - Prob. 51PECh. 1.8 - Prob. 52PECh. 1.8 - Prob. 53PECh. 1.8 - Prob. 54PECh. 1.8 - Prob. 55PECh. 1.8 - Prob. 56PECh. 1.8 - Prob. 57PECh. 1.8 - Prob. 58PECh. 1.8 - For Exercises 57-62, a. Write an absolute value...Ch. 1.8 - Prob. 60PECh. 1.8 - For Exercises 57-62, a. Write an absolute value...Ch. 1.8 - Prob. 62PECh. 1.8 - Prob. 63PECh. 1.8 - Prob. 64PECh. 1.8 - Prob. 65PECh. 1.8 - Prob. 66PECh. 1.8 - Prob. 67PECh. 1.8 - Prob. 68PECh. 1.8 - Prob. 69PECh. 1.8 - Prob. 70PECh. 1.8 - Prob. 71PECh. 1.8 - Prob. 72PECh. 1.8 - Prob. 73PECh. 1.8 - Prob. 74PECh. 1.8 - Prob. 75PECh. 1.8 - Prob. 76PECh. 1.8 - Prob. 77PECh. 1.8 - Prob. 78PECh. 1.8 - Prob. 79PECh. 1.8 - Prob. 80PECh. 1.8 - Prob. 81PECh. 1.8 - Prob. 82PECh. 1.8 - Prob. 83PECh. 1.8 - Prob. 84PECh. 1.8 - Prob. 85PECh. 1.8 - Prob. 86PECh. 1.8 - Prob. 87PECh. 1.8 - Prob. 88PECh. 1.8 - Prob. 89PECh. 1.8 - Prob. 90PECh. 1.8 - Prob. 1PRECh. 1.8 - Prob. 2PRECh. 1.8 - Prob. 3PRECh. 1.8 - Prob. 4PRECh. 1.8 - Prob. 5PRECh. 1.8 - Prob. 6PRECh. 1.8 - Prob. 7PRECh. 1.8 - Prob. 8PRECh. 1.8 - Prob. 9PRECh. 1.8 - Prob. 10PRECh. 1.8 - Prob. 11PRECh. 1.8 - Prob. 12PRECh. 1.8 - Prob. 13PRECh. 1.8 - Prob. 14PRECh. 1.8 - Prob. 15PRECh. 1.8 - Prob. 16PRECh. 1.8 - Prob. 17PRECh. 1.8 - Prob. 18PRECh. 1.8 - Prob. 19PRECh. 1.8 - Prob. 20PRECh. 1 - Prob. 1RECh. 1 - Prob. 2RECh. 1 - Prob. 3RECh. 1 - Prob. 4RECh. 1 - Prob. 5RECh. 1 - Prob. 6RECh. 1 - Prob. 7RECh. 1 - Prob. 8RECh. 1 - Prob. 9RECh. 1 - Prob. 10RECh. 1 - Prob. 11RECh. 1 - Prob. 12RECh. 1 - Prob. 13RECh. 1 - Prob. 14RECh. 1 - Prob. 15RECh. 1 - Prob. 16RECh. 1 - Prob. 17RECh. 1 - Prob. 18RECh. 1 - Prob. 19RECh. 1 - Prob. 20RECh. 1 - Prob. 21RECh. 1 - Prob. 22RECh. 1 - Prob. 23RECh. 1 - On a police force, there are 60 more male officers...Ch. 1 - To estimate the number of turtles in a large pond,...Ch. 1 - Prob. 26RECh. 1 - Prob. 27RECh. 1 - Prob. 28RECh. 1 - Prob. 29RECh. 1 - Prob. 30RECh. 1 - Prob. 31RECh. 1 - Prob. 32RECh. 1 - Prob. 33RECh. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 36RECh. 1 - Prob. 37RECh. 1 - Prob. 38RECh. 1 - Prob. 39RECh. 1 - Prob. 40RECh. 1 - Prob. 41RECh. 1 - Prob. 42RECh. 1 - Prob. 43RECh. 1 - Prob. 44RECh. 1 - Prob. 45RECh. 1 - Prob. 46RECh. 1 - Prob. 47RECh. 1 - Prob. 48RECh. 1 - Prob. 49RECh. 1 - Prob. 50RECh. 1 - Prob. 51RECh. 1 - Prob. 52RECh. 1 - Prob. 53RECh. 1 - For Exercises 53-55, (a) evaluate the discriminant...Ch. 1 - Prob. 55RECh. 1 - Prob. 56RECh. 1 - Prob. 57RECh. 1 - Prob. 58RECh. 1 - Prob. 59RECh. 1 - Prob. 60RECh. 1 - Prob. 61RECh. 1 - Prob. 62RECh. 1 - Prob. 63RECh. 1 - Prob. 64RECh. 1 - Prob. 65RECh. 1 - Prob. 66RECh. 1 - Prob. 67RECh. 1 - Prob. 68RECh. 1 - Prob. 69RECh. 1 - Prob. 70RECh. 1 - Prob. 71RECh. 1 - Prob. 72RECh. 1 - Prob. 73RECh. 1 - Prob. 74RECh. 1 - Prob. 75RECh. 1 - Prob. 76RECh. 1 - Prob. 77RECh. 1 - Prob. 78RECh. 1 - Prob. 79RECh. 1 - Prob. 80RECh. 1 - Prob. 81RECh. 1 - Prob. 82RECh. 1 - Prob. 83RECh. 1 - Prob. 84RECh. 1 - Prob. 85RECh. 1 - Prob. 86RECh. 1 - Prob. 87RECh. 1 - Prob. 88RECh. 1 - Prob. 89RECh. 1 - Prob. 90RECh. 1 - Prob. 91RECh. 1 - Prob. 92RECh. 1 - Prob. 93RECh. 1 - Prob. 94RECh. 1 - Prob. 95RECh. 1 - Prob. 96RECh. 1 - Prob. 97RECh. 1 - Prob. 98RECh. 1 - Prob. 99RECh. 1 - Prob. 100RECh. 1 - Prob. 101RECh. 1 - Prob. 102RECh. 1 - Prob. 103RECh. 1 - Prob. 104RECh. 1 - Prob. 105RECh. 1 - Prob. 106RECh. 1 - Prob. 107RECh. 1 - Prob. 108RECh. 1 - Prob. 109RECh. 1 - Prob. 110RECh. 1 - Prob. 111RECh. 1 - Prob. 112RECh. 1 - Prob. 1TCh. 1 - Prob. 2TCh. 1 - Prob. 3TCh. 1 - Prob. 4TCh. 1 - Prob. 5TCh. 1 - Prob. 6TCh. 1 - Prob. 7TCh. 1 - Prob. 8TCh. 1 - Prob. 9TCh. 1 - Prob. 10TCh. 1 - Prob. 11TCh. 1 - Prob. 12TCh. 1 - Prob. 13TCh. 1 - Prob. 14TCh. 1 - Prob. 15TCh. 1 - Prob. 16TCh. 1 - Prob. 17TCh. 1 - Prob. 18TCh. 1 - Prob. 19TCh. 1 - Prob. 20TCh. 1 - Prob. 21TCh. 1 - Prob. 22TCh. 1 - Prob. 23TCh. 1 - Prob. 24TCh. 1 - Prob. 25TCh. 1 - Prob. 26TCh. 1 - Prob. 27TCh. 1 - Prob. 28TCh. 1 - Prob. 29TCh. 1 - Prob. 30TCh. 1 - Prob. 31TCh. 1 - Prob. 32TCh. 1 - Prob. 33TCh. 1 - Prob. 34TCh. 1 - Prob. 35TCh. 1 - Prob. 36TCh. 1 - Prob. 37TCh. 1 - Prob. 38TCh. 1 - Prob. 39TCh. 1 - Prob. 40TCh. 1 - Prob. 41TCh. 1 - Prob. 42TCh. 1 - Prob. 1CRECh. 1 - Prob. 2CRECh. 1 - Prob. 3CRECh. 1 - Prob. 4CRECh. 1 - Prob. 5CRECh. 1 - Prob. 6CRECh. 1 - Prob. 7CRECh. 1 - a. Write an absolute value expression that...Ch. 1 - Prob. 9CRECh. 1 - Prob. 10CRECh. 1 - Prob. 11CRECh. 1 - Prob. 12CRECh. 1 - Prob. 13CRECh. 1 - Prob. 14CRECh. 1 - Prob. 15CRECh. 1 - Prob. 16CRECh. 1 - Prob. 17CRECh. 1 - Prob. 18CRECh. 1 - Prob. 19CRECh. 1 - Prob. 20CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Question 5. Let A, B, C ben x n-matrices, S is nonsigular. If A = S-1 BS, show that det (A) = det (B) Question 6. For what values of k is the matrix A = (2- k -1 -1 2) singular? karrow_forward1 4 5 Question 3. Find A-1 (if exists), where A = -3 -1 -2 2 3 4 Question 4. State 4 equivalent conditions for a matrix A to be nonsingulararrow_forwardHow long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)arrow_forward
- Question 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w karrow_forwardConsider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]arrow_forwardQuestion 4 Find the value of the first element for the first row of the inverse matrix of matrix B. 3 Not yet answered B = Marked out of 5.00 · (³ ;) Flag question 7 [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places] Answer:arrow_forward
- Question 2 Not yet answered Multiply the following Matrices together: [77-4 A = 36 Marked out of -5 -5 5.00 B = 3 5 Flag question -6 -7 ABarrow_forwardAssume {u1, U2, u3, u4} does not span R³. Select the best statement. A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set. B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³. C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set. D. {u1, U2, u3} cannot span R³. E. {U1, U2, u3} spans R³ if u̸4 is the zero vector. F. none of the abovearrow_forwardSelect the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forward
- Which of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Implicit Differentiation with Transcendental Functions; Author: Mathispower4u;https://www.youtube.com/watch?v=16WoO59R88w;License: Standard YouTube License, CC-BY
How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY