
Precalculus (6th Edition)
6th Edition
ISBN: 9780134469140
Author: Robert F. Blitzer
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.5, Problem 32PE
To determine
To calculate: The solution of the system of equations x−3y+z=−2,x+2y=8,2x−y=1 using Cramer’s rule.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Provethat
a) prove that for any irrational numbers there exists?
asequence of rational numbers Xn converg to S.
b) let S: RR be a sunctions-t.
f(x)=(x-1) arc tan (x), xe Q
3(x-1)
1+x²
x&Q
Show that lim f(x)= 0
14x
C) For any set A define the set -A=y
Q2: Find the interval and radius of convergence for the following series:
Σ
n=1
(-1)η-1
xn
n
8. Evaluate arctan x dx
a) xartanx
2
2
In(1 + x²) + C b) xartanx + 1½-3ln(1 + x²) + C c) xartanx + In(1 + x²) + C d)
(arctanx)²
+ C
2
9) Evaluate Inx³ dx
3
a) +C b) ln x² + C c)¾½ (lnx)² d) 3x(lnx − 1) + C
-
x
10) Determine which integral is obtained when the substitution x =
So¹² √1 - x²dx
sine is made in the integral
πT
π
π
a) √ sin cos e de b) √ cos² de c) c
Ꮎ Ꮎ
cos² 0 de c)
cos e de d) for cos² e de
πT
11. Evaluate tan³xdx
1
a) b) c) [1 - In 2]
2
2
c) [1 − In2] d)½½[1+ In 2]
Chapter 8 Solutions
Precalculus (6th Edition)
Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix
...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVCCh. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVCCh. 8.1 - Prob. 4CVCCh. 8.1 - Fill in each blank so that the resulting statement...
Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 1PECh. 8.1 - Prob. 2PECh. 8.1 - Prob. 3PECh. 8.1 - Prob. 4PECh. 8.1 - Prob. 5PECh. 8.1 - Prob. 6PECh. 8.1 - Prob. 7PECh. 8.1 - Prob. 8PECh. 8.1 - Prob. 9PECh. 8.1 - Prob. 10PECh. 8.1 - Prob. 11PECh. 8.1 - Prob. 12PECh. 8.1 - Prob. 13PECh. 8.1 - Prob. 14PECh. 8.1 - Prob. 15PECh. 8.1 - Prob. 16PECh. 8.1 - Prob. 17PECh. 8.1 - Prob. 18PECh. 8.1 - Prob. 19PECh. 8.1 - Prob. 20PECh. 8.1 - Prob. 21PECh. 8.1 - Prob. 22PECh. 8.1 - Prob. 23PECh. 8.1 - Prob. 24PECh. 8.1 - Prob. 25PECh. 8.1 - Prob. 26PECh. 8.1 - Prob. 27PECh. 8.1 - Prob. 28PECh. 8.1 - Prob. 29PECh. 8.1 - Prob. 30PECh. 8.1 - Prob. 31PECh. 8.1 - Prob. 32PECh. 8.1 - Prob. 33PECh. 8.1 - Prob. 34PECh. 8.1 - Prob. 35PECh. 8.1 - In Exercises 21-38, solve each system of equations...Ch. 8.1 - Prob. 37PECh. 8.1 - In Exercises 21-38. solve each system of equations...Ch. 8.1 - Prob. 39PECh. 8.1 - Prob. 40PECh. 8.1 - Prob. 41PECh. 8.1 - Prob. 42PECh. 8.1 - Prob. 43PECh. 8.1 - Prob. 44PECh. 8.1 - Prob. 45PECh. 8.1 - Prob. 46PECh. 8.1 - Prob. 47PECh. 8.1 - Write a system of linear equations in three or...Ch. 8.1 - Prob. 49PECh. 8.1 - Prob. 50PECh. 8.1 - Prob. 51PECh. 8.1 - Prob. 52PECh. 8.1 - Prob. 53PECh. 8.1 - Describe how to use row operations and matrices to...Ch. 8.1 - What is the difference between Gaussian...Ch. 8.1 - Prob. 56PECh. 8.1 - Prob. 57PECh. 8.1 - Prob. 58PECh. 8.1 - Make Sense? In Exercises 59-62, determine whether...Ch. 8.1 - Prob. 60PECh. 8.1 - Prob. 61PECh. 8.1 - Prob. 62PECh. 8.1 - Prob. 63PECh. 8.1 - Prob. 64PECh. 8.1 - Prob. 65PECh. 8.1 - Prob. 66PECh. 8.1 - Prob. 67PECh. 8.1 - Prob. 68PECh. 8.1 - Prob. 69PECh. 8.1 - Prob. 70PECh. 8.1 - Prob. 71PECh. 8.1 - Prob. 72PECh. 8.1 - Prob. 73PECh. 8.1 - Prob. 74PECh. 8.2 - Check Point 1 Use Gaussian elimination to solve...Ch. 8.2 - Check Point 2 Use Gaussian elimination to solve...Ch. 8.2 - Prob. 3CPCh. 8.2 - Check Point 4 Figure 8.5 shows a system of four...Ch. 8.2 - Prob. 1CVCCh. 8.2 - Prob. 2CVCCh. 8.2 - Prob. 3CVCCh. 8.2 - Prob. 4CVCCh. 8.2 - Prob. 5CVCCh. 8.2 - Prob. 1PECh. 8.2 - Prob. 2PECh. 8.2 - Prob. 3PECh. 8.2 - Prob. 4PECh. 8.2 - Prob. 5PECh. 8.2 - Prob. 6PECh. 8.2 - Prob. 7PECh. 8.2 - Prob. 8PECh. 8.2 - Prob. 9PECh. 8.2 - Prob. 10PECh. 8.2 - Prob. 11PECh. 8.2 - In Exercises 1-24, use Gaussian elimination to...Ch. 8.2 - Prob. 13PECh. 8.2 - Prob. 14PECh. 8.2 - Prob. 15PECh. 8.2 - Prob. 16PECh. 8.2 - Prob. 17PECh. 8.2 - Prob. 18PECh. 8.2 - Prob. 19PECh. 8.2 - Prob. 20PECh. 8.2 - Prob. 21PECh. 8.2 - Prob. 22PECh. 8.2 - Prob. 23PECh. 8.2 - Prob. 24PECh. 8.2 - Prob. 25PECh. 8.2 - Prob. 26PECh. 8.2 - Prob. 27PECh. 8.2 - Prob. 28PECh. 8.2 - Prob. 29PECh. 8.2 - Prob. 30PECh. 8.2 - Prob. 31PECh. 8.2 - Prob. 32PECh. 8.2 - 33. The figure shows the intersections of four...Ch. 8.2 - Prob. 34PECh. 8.2 - Prob. 35PECh. 8.2 - Prob. 36PECh. 8.2 - Prob. 37PECh. 8.2 - Describe what happens when Gaussian elimination is...Ch. 8.2 - Prob. 39PECh. 8.2 - Prob. 40PECh. 8.2 - Prob. 41PECh. 8.2 - Prob. 42PECh. 8.2 - Prob. 43PECh. 8.2 - Prob. 44PECh. 8.2 - Prob. 45PECh. 8.2 - Before beginning this exercise, the group needs to...Ch. 8.2 - Prob. 47PECh. 8.2 - Prob. 48PECh. 8.2 - Prob. 49PECh. 8.2 - Prob. 50PECh. 8.2 - Prob. 51PECh. 8.2 - Prob. 52PECh. 8.2 - Prob. 53PECh. 8.3 - Check Point 1 Let
...Ch. 8.3 - Prob. 2CPCh. 8.3 - Prob. 3CPCh. 8.3 - Prob. 4CPCh. 8.3 - Prob. 5CPCh. 8.3 - Prob. 6CPCh. 8.3 - Prob. 7CPCh. 8.3 - Check Point 8 Change the contrast of the letter L...Ch. 8.3 - Prob. 9CPCh. 8.3 - Prob. 1CVCCh. 8.3 - Prob. 2CVCCh. 8.3 - Prob. 3CVCCh. 8.3 - Prob. 4CVCCh. 8.3 - Prob. 5CVCCh. 8.3 - Prob. 6CVCCh. 8.3 - Prob. 7CVCCh. 8.3 - Prob. 8CVCCh. 8.3 - Prob. 9CVCCh. 8.3 - Prob. 10CVCCh. 8.3 - Prob. 1PECh. 8.3 - Prob. 2PECh. 8.3 - Prob. 3PECh. 8.3 - Prob. 4PECh. 8.3 - Prob. 5PECh. 8.3 - Prob. 6PECh. 8.3 - Prob. 7PECh. 8.3 - Prob. 8PECh. 8.3 - Prob. 9PECh. 8.3 - Prob. 10PECh. 8.3 - Prob. 11PECh. 8.3 - Prob. 12PECh. 8.3 - Prob. 13PECh. 8.3 - Prob. 14PECh. 8.3 - Prob. 15PECh. 8.3 - Prob. 16PECh. 8.3 - Prob. 17PECh. 8.3 - Prob. 18PECh. 8.3 - Prob. 19PECh. 8.3 - Prob. 20PECh. 8.3 - Prob. 21PECh. 8.3 - Prob. 22PECh. 8.3 - Prob. 23PECh. 8.3 - Prob. 24PECh. 8.3 - Prob. 25PECh. 8.3 - Prob. 26PECh. 8.3 - Prob. 27PECh. 8.3 - Prob. 28PECh. 8.3 - Prob. 29PECh. 8.3 - Prob. 30PECh. 8.3 - Prob. 31PECh. 8.3 - Prob. 32PECh. 8.3 - Prob. 33PECh. 8.3 - Prob. 34PECh. 8.3 - Prob. 35PECh. 8.3 - Prob. 36PECh. 8.3 - Prob. 37PECh. 8.3 - Prob. 38PECh. 8.3 - Prob. 39PECh. 8.3 - Prob. 40PECh. 8.3 - Prob. 41PECh. 8.3 - Prob. 42PECh. 8.3 - Prob. 43PECh. 8.3 - Prob. 44PECh. 8.3 - Prob. 45PECh. 8.3 - Prob. 46PECh. 8.3 - Prob. 47PECh. 8.3 - Prob. 48PECh. 8.3 - Prob. 49PECh. 8.3 - Prob. 50PECh. 8.3 - Prob. 51PECh. 8.3 - Prob. 52PECh. 8.3 - Prob. 53PECh. 8.3 - Prob. 54PECh. 8.3 - Prob. 55PECh. 8.3 - Prob. 56PECh. 8.3 - Prob. 57PECh. 8.3 - Prob. 58PECh. 8.3 - Prob. 59PECh. 8.3 - Prob. 60PECh. 8.3 - Prob. 61PECh. 8.3 - The table gives an estimate of basic caloric needs...Ch. 8.3 - 63. Tire final grade in a particular course is...Ch. 8.3 - 64. Ina certain county, the proportion of voters...Ch. 8.3 - 65. What is ment by the order or a matrix? Give an...Ch. 8.3 - Prob. 66PECh. 8.3 - Prob. 67PECh. 8.3 - Prob. 68PECh. 8.3 - Prob. 69PECh. 8.3 - Prob. 70PECh. 8.3 - Prob. 71PECh. 8.3 - Prob. 72PECh. 8.3 - Prob. 73PECh. 8.3 - Prob. 74PECh. 8.3 - Prob. 75PECh. 8.3 - Prob. 76PECh. 8.3 - Prob. 77PECh. 8.3 - Prob. 78PECh. 8.3 - Prob. 79PECh. 8.3 - Prob. 80PECh. 8.3 - Prob. 81PECh. 8.3 - Prob. 82PECh. 8.3 - Prob. 83PECh. 8.3 - Prob. 84PECh. 8.3 - Prob. 85PECh. 8.3 - Prob. 86PECh. 8.3 - Prob. 87PECh. 8.3 - Prob. 88PECh. 8.3 - Prob. 89PECh. 8.3 - Prob. 90PECh. 8.3 - Prob. 91PECh. 8.3 - Prob. 1MCCPCh. 8.3 - Prob. 2MCCPCh. 8.3 - Prob. 3MCCPCh. 8.3 - Prob. 4MCCPCh. 8.3 - Prob. 5MCCPCh. 8.3 - Prob. 6MCCPCh. 8.3 - Prob. 7MCCPCh. 8.3 - Prob. 8MCCPCh. 8.3 - Prob. 9MCCPCh. 8.3 - Prob. 10MCCPCh. 8.4 - Check Point 1 Show that B is the multiplicative...Ch. 8.4 - Prob. 2CPCh. 8.4 - Check Point 3 Find the multiplicative inverse of...Ch. 8.4 - Prob. 4CPCh. 8.4 - Prob. 5CPCh. 8.4 - Prob. 6CPCh. 8.4 - Prob. 7CPCh. 8.4 - Prob. 1CVCCh. 8.4 - Prob. 2CVCCh. 8.4 - Prob. 3CVCCh. 8.4 - Prob. 4CVCCh. 8.4 - Prob. 5CVCCh. 8.4 - Prob. 6CVCCh. 8.4 - Prob. 7CVCCh. 8.4 - Prob. 8CVCCh. 8.4 - Prob. 9CVCCh. 8.4 - In Exercises 1-12, find the products AB and BA to...Ch. 8.4 - Prob. 2PECh. 8.4 - Prob. 3PECh. 8.4 - Prob. 4PECh. 8.4 - Prob. 5PECh. 8.4 - Prob. 6PECh. 8.4 - Prob. 7PECh. 8.4 - Prob. 8PECh. 8.4 - Prob. 9PECh. 8.4 - Prob. 10PECh. 8.4 - Prob. 11PECh. 8.4 - Prob. 12PECh. 8.4 - Prob. 13PECh. 8.4 - Prob. 14PECh. 8.4 - Prob. 15PECh. 8.4 - Prob. 16PECh. 8.4 - Prob. 17PECh. 8.4 - Prob. 18PECh. 8.4 - Prob. 19PECh. 8.4 - Prob. 20PECh. 8.4 - Prob. 21PECh. 8.4 - Prob. 22PECh. 8.4 - Prob. 23PECh. 8.4 - Prob. 24PECh. 8.4 - Prob. 25PECh. 8.4 - Prob. 26PECh. 8.4 - Prob. 27PECh. 8.4 - Prob. 28PECh. 8.4 - Prob. 29PECh. 8.4 - Prob. 30PECh. 8.4 - Prob. 31PECh. 8.4 - Prob. 32PECh. 8.4 - Prob. 33PECh. 8.4 - Prob. 34PECh. 8.4 - Prob. 35PECh. 8.4 - Prob. 36PECh. 8.4 - Prob. 37PECh. 8.4 - Prob. 38PECh. 8.4 - Prob. 39PECh. 8.4 - Prob. 40PECh. 8.4 - Prob. 41PECh. 8.4 - Prob. 42PECh. 8.4 - Prob. 43PECh. 8.4 - Prob. 44PECh. 8.4 - Prob. 45PECh. 8.4 - Prob. 46PECh. 8.4 - Prob. 47PECh. 8.4 - Prob. 48PECh. 8.4 - Prob. 49PECh. 8.4 - Prob. 50PECh. 8.4 - In Exercises 51-52, use the coding matrix A=[4131]...Ch. 8.4 - Prob. 52PECh. 8.4 - Prob. 53PECh. 8.4 - Prob. 54PECh. 8.4 - Prob. 55PECh. 8.4 - Prob. 56PECh. 8.4 - Prob. 57PECh. 8.4 - Prob. 58PECh. 8.4 - Prob. 59PECh. 8.4 - Prob. 60PECh. 8.4 - Prob. 61PECh. 8.4 - Prob. 62PECh. 8.4 - Prob. 63PECh. 8.4 - Prob. 64PECh. 8.4 - Prob. 65PECh. 8.4 - Prob. 66PECh. 8.4 - Prob. 67PECh. 8.4 - Prob. 68PECh. 8.4 - Prob. 69PECh. 8.4 - Prob. 70PECh. 8.4 - Prob. 71PECh. 8.4 - In Exercises 71-76, write each system in the form...Ch. 8.4 - Prob. 73PECh. 8.4 - Prob. 74PECh. 8.4 - Prob. 75PECh. 8.4 - Prob. 76PECh. 8.4 - Prob. 77PECh. 8.4 - Prob. 78PECh. 8.4 - Prob. 79PECh. 8.4 - Prob. 80PECh. 8.4 - Prob. 81PECh. 8.4 - I made an encoding error by selecting the wrong...Ch. 8.4 - Prob. 83PECh. 8.4 - Prob. 84PECh. 8.4 - Prob. 85PECh. 8.4 - Prob. 86PECh. 8.4 - Prob. 87PECh. 8.4 - Prob. 88PECh. 8.4 - 89. Give an example of a matrix that is its own...Ch. 8.4 - Prob. 90PECh. 8.4 - Prob. 91PECh. 8.4 - Prob. 92PECh. 8.4 - Prob. 93PECh. 8.4 - Prob. 94PECh. 8.4 - Prob. 95PECh. 8.4 - Prob. 96PECh. 8.4 - Prob. 97PECh. 8.4 - Prob. 98PECh. 8.4 - Prob. 99PECh. 8.5 - Prob. 1CPCh. 8.5 - Prob. 2CPCh. 8.5 - Prob. 3CPCh. 8.5 - Prob. 4CPCh. 8.5 - Prob. 5CPCh. 8.5 - Prob. 6CPCh. 8.5 - Prob. 1CVCCh. 8.5 - Prob. 2CVCCh. 8.5 - Prob. 3CVCCh. 8.5 - Prob. 4CVCCh. 8.5 - Prob. 5CVCCh. 8.5 - Prob. 1PECh. 8.5 - Prob. 2PECh. 8.5 - Prob. 3PECh. 8.5 - Prob. 4PECh. 8.5 - Prob. 5PECh. 8.5 - Prob. 6PECh. 8.5 - Prob. 7PECh. 8.5 - Prob. 8PECh. 8.5 - Prob. 9PECh. 8.5 - Prob. 10PECh. 8.5 - Prob. 11PECh. 8.5 - Prob. 12PECh. 8.5 - Prob. 13PECh. 8.5 - Prob. 14PECh. 8.5 - Prob. 15PECh. 8.5 - Prob. 16PECh. 8.5 - Prob. 17PECh. 8.5 - Prob. 18PECh. 8.5 - Prob. 19PECh. 8.5 - Prob. 20PECh. 8.5 - Prob. 21PECh. 8.5 - Prob. 22PECh. 8.5 - Prob. 23PECh. 8.5 - Prob. 24PECh. 8.5 - Prob. 25PECh. 8.5 - Prob. 26PECh. 8.5 - Prob. 27PECh. 8.5 - Prob. 28PECh. 8.5 - Prob. 29PECh. 8.5 - Prob. 30PECh. 8.5 - Prob. 31PECh. 8.5 - Prob. 32PECh. 8.5 - In Exercises 29-36, use Cramer's Rule to solve...Ch. 8.5 - Prob. 34PECh. 8.5 - Prob. 35PECh. 8.5 - Prob. 36PECh. 8.5 - Prob. 37PECh. 8.5 - Prob. 38PECh. 8.5 - Prob. 39PECh. 8.5 - Prob. 40PECh. 8.5 - Prob. 41PECh. 8.5 - Prob. 42PECh. 8.5 - Prob. 43PECh. 8.5 - Prob. 44PECh. 8.5 - Prob. 45PECh. 8.5 - Prob. 46PECh. 8.5 - Prob. 47PECh. 8.5 - Prob. 48PECh. 8.5 - Prob. 49PECh. 8.5 - Prob. 50PECh. 8.5 - Prob. 51PECh. 8.5 - then the points ,and are collinear. If the...Ch. 8.5 - Prob. 53PECh. 8.5 - Prob. 54PECh. 8.5 - Prob. 55PECh. 8.5 - Prob. 56PECh. 8.5 - Prob. 57PECh. 8.5 - Prob. 58PECh. 8.5 - Prob. 59PECh. 8.5 - Prob. 60PECh. 8.5 - Prob. 61PECh. 8.5 - 62. If you could use only one method to solve...Ch. 8.5 - Use the feature of your graphing utility that...Ch. 8.5 - Prob. 64PECh. 8.5 - Prob. 65PECh. 8.5 - Prob. 66PECh. 8.5 - Prob. 67PECh. 8.5 - Prob. 68PECh. 8.5 - Prob. 69PECh. 8.5 - Prob. 70PECh. 8.5 - Prob. 71PECh. 8.5 - Prob. 72PECh. 8.5 - Prob. 73PECh. 8.5 - Prob. 74PECh. 8.5 - 75. Show that the equation of a line through and ...Ch. 8.5 - Prob. 76PECh. 8.5 - Prob. 77PECh. 8.5 - Prob. 78PECh. 8.5 - Prob. 79PECh. 8.5 - Prob. 80PECh. 8.5 - Prob. 81PECh. 8.5 - Prob. 82PECh. 8.5 - Prob. 83PECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Prob. 10TCh. 8 - Prob. 1CRECh. 8 - Prob. 2CRECh. 8 - Prob. 3CRECh. 8 - Prob. 4CRECh. 8 - Solve each equation or inequality in Exercises...Ch. 8 - Prob. 6CRECh. 8 - Prob. 7CRECh. 8 - Prob. 8CRECh. 8 - Prob. 9CRECh. 8 - Prob. 10CRECh. 8 - Prob. 11CRECh. 8 - Prob. 12CRECh. 8 - Prob. 13CRECh. 8 - Prob. 14CRECh. 8 - Prob. 15CRECh. 8 - Prob. 16CRECh. 8 - Prob. 17CRECh. 8 - Prob. 18CRECh. 8 - Prob. 19CRECh. 8 - Prob. 20CRECh. 8 - Prob. 21CRECh. 8 - Prob. 22CRECh. 8 - Prob. 23CRECh. 8 - Prob. 24CRECh. 8 - Prob. 25CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- 12. Evaluate ſ √9-x2 -dx. x2 a) C 9-x2 √9-x2 - x2 b) C - x x arcsin ½-½ c) C + √9 - x² + arcsin x d) C + √9-x2 x2 13. Find the indefinite integral S cos³30 √sin 30 dᎾ . 2√√sin 30 (5+sin²30) √sin 30 (3+sin²30) a) C+ √sin 30(5-sin²30) b) C + c) C + 5 5 5 10 d) C + 2√√sin 30 (3-sin²30) 2√√sin 30 (5-sin²30) e) C + 5 15 14. Find the indefinite integral ( sin³ 4xcos 44xdx. a) C+ (7-5cos24x)cos54x b) C (7-5cos24x)cos54x (7-5cos24x)cos54x - 140 c) C - 120 140 d) C+ (7-5cos24x)cos54x e) C (7-5cos24x)cos54x 4 4 15. Find the indefinite integral S 2x2 dx. ex - a) C+ (x²+2x+2)ex b) C (x² + 2x + 2)e-* d) C2(x²+2x+2)e¯* e) C + 2(x² + 2x + 2)e¯* - c) C2x(x²+2x+2)e¯*arrow_forward4. Which substitution would you use to simplify the following integrand? S a) x = sin b) x = 2 tan 0 c) x = 2 sec 3√√3 3 x3 5. After making the substitution x = = tan 0, the definite integral 2 2 3 a) ៖ ស្លឺ sin s π - dᎾ 16 0 cos20 b) 2/4 10 cos 20 π sin30 6 - dᎾ c) Π 1 cos³0 3 · de 16 0 sin20 1 x²√x²+4 3 (4x²+9)2 π d) cos²8 16 0 sin³0 dx d) x = tan 0 dx simplifies to: de 6. In order to evaluate (tan 5xsec7xdx, which would be the most appropriate strategy? a) Separate a sec²x factor b) Separate a tan²x factor c) Separate a tan xsecx factor 7. Evaluate 3x x+4 - dx 1 a) 3x+41nx + 4 + C b) 31n|x + 4 + C c) 3 ln x + 4+ C d) 3x - 12 In|x + 4| + C x+4arrow_forward1. Abel's Theorem. The goal in this problem is to prove Abel's theorem by following a series of steps (each step must be justified). Theorem 0.1 (Abel's Theorem). If y1 and y2 are solutions of the differential equation y" + p(t) y′ + q(t) y = 0, where p and q are continuous on an open interval, then the Wronskian is given by W (¥1, v2)(t) = c exp(− [p(t) dt), where C is a constant that does not depend on t. Moreover, either W (y1, y2)(t) = 0 for every t in I or W (y1, y2)(t) = 0 for every t in I. 1. (a) From the two equations (which follow from the hypotheses), show that y" + p(t) y₁ + q(t) y₁ = 0 and y½ + p(t) y2 + q(t) y2 = 0, 2. (b) Observe that Hence, conclude that (YY2 - Y1 y2) + P(t) (y₁ Y2 - Y1 Y2) = 0. W'(y1, y2)(t) = yY2 - Y1 y2- W' + p(t) W = 0. 3. (c) Use the result from the previous step to complete the proof of the theorem.arrow_forward
- 2. Observations on the Wronskian. Suppose the functions y₁ and y2 are solutions to the differential equation p(x)y" + q(x)y' + r(x) y = 0 on an open interval I. 1. (a) Prove that if y₁ and y2 both vanish at the same point in I, then y₁ and y2 cannot form a fundamental set of solutions. 2. (b) Prove that if y₁ and y2 both attain a maximum or minimum at the same point in I, then y₁ and Y2 cannot form a fundamental set of solutions. 3. (c) show that the functions & and t² are linearly independent on the interval (−1, 1). Verify that both are solutions to the differential equation t² y″ – 2ty' + 2y = 0. Then justify why this does not contradict Abel's theorem. 4. (d) What can you conclude about the possibility that t and t² are solutions to the differential equation y" + q(x) y′ + r(x)y = 0?arrow_forwardQuestion 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the line x = y=2-t, z=3+4t. 3t, (b) The plane through the point (3, −2, 8) and parallel to the plane z = x+y. (c) The plane that contains the line x = 1+t, y = 2 − t, z = 4 - 3t and is parallel to the plane 5x + 2y + z = 1. (d) The plane that passes through the point (1,2,3) and contains the line x = 3t, y = 1+t, and z = 2-t. (e) The plane that contains the lines L₁: x = 1 + t, y = 1 − t, z = 2t and L2 : x = 2 − s, y = s, z = 2.arrow_forwardPlease find all values of x.arrow_forward
- 3. Consider the initial value problem 9y" +12y' + 4y = 0, y(0) = a>0: y′(0) = −1. Solve the problem and find the value of a such that the solution of the initial value problem is always positive.arrow_forward5. Euler's equation. Determine the values of a for which all solutions of the equation 5 x²y" + axy' + y = 0 that have the form (A + B log x) x* or Ax¹¹ + Bä” tend to zero as a approaches 0.arrow_forward4. Problem on variable change. The purpose of this problem is to perform an appropriate change of variables in order to reduce the problem to a second-order equation with constant coefficients. ty" + (t² − 1)y'′ + t³y = 0, 0arrow_forward
- 4. Some psychologists contend that the number of facts of a certain type that are remembered after t hours is given by f(t)== 90t 951-90 Find the rate at which the number of facts remembered is changing after 1 hour and after 10 hours. Interpret.arrow_forward12:05 MA S 58 58. If f(x) = ci.metaproxy.org 25 2xon [0, 10] and n is a positive integer, then there is some Riemann sum Sthat equals the exact area under the graph of ƒ from x = Oto x = 10. 59. If the area under the graph of fon [a, b] is equal to both the left sum L, and the right sum Rfor some positive integer n, then fis constant on [a, b]. 60. If ƒ is a decreasing function on [a, b], then the area under the graph of fis greater than the left sum Land less than the right sum R₂, for any positive integer n. Problems 61 and 62 refer to the following figure showing two parcels of land along a river: River Parcel 2 Parcel 1 h(x) 500 ft 1,000 ft. Figure for 61 and 62 61. You want to purchase both parcels of land shown in the figure and make a quick check on their combined area. There is no equation for the river frontage, so you use the average of the left and right sums of rectangles covering the area. The 1,000-foot baseline is divided into 10 equal parts. At the end of each…arrow_forwardIf a snowball melts so that its surface area decreases at a rate of 10 cm²/min, find the rate (in cm/min) at which the diameter decreases when the diameter is 12 cm. (Round your answer to three decimal places.) cm/minarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage



Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning

College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY
What are Determinants? Mathematics; Author: Edmerls;https://www.youtube.com/watch?v=v4_dxD4jpgM;License: Standard YouTube License, CC-BY