CALCULUS (CLOTH)
4th Edition
ISBN: 9781319050733
Author: Rogawski
Publisher: MAC HIGHER
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Chapter 17, Problem 57CRE
To determine
The value of .
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Question 2: (10 points) Evaluate the definite integral.
Use the following form of the definition of the integral to evaluate the integral:
Theorem: Iff is integrable on [a, b], then
where Ax = (ba)/n and x₂ = a + i^x.
You might need the following formulas.
IM³
L² (3x²
(3x²+2x-
2x - 1)dx.
n
[f(z)dz lim f(x)Az
a
n→∞
i=1
n(n + 1)
2
n
i=1
n(n+1)(2n+1)
6
For the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.
For the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.
Chapter 17 Solutions
CALCULUS (CLOTH)
Ch. 17.1 - Prob. 1PQCh. 17.1 - Prob. 2PQCh. 17.1 - Prob. 3PQCh. 17.1 - Prob. 4PQCh. 17.1 - Prob. 1ECh. 17.1 - Prob. 2ECh. 17.1 - Prob. 3ECh. 17.1 - Prob. 4ECh. 17.1 - Prob. 5ECh. 17.1 - Prob. 6E
Ch. 17.1 - Prob. 7ECh. 17.1 - Prob. 8ECh. 17.1 - Prob. 9ECh. 17.1 - Prob. 10ECh. 17.1 - Prob. 11ECh. 17.1 - Prob. 12ECh. 17.1 - Prob. 13ECh. 17.1 - Prob. 14ECh. 17.1 - Prob. 15ECh. 17.1 - Prob. 16ECh. 17.1 - Prob. 17ECh. 17.1 - Prob. 18ECh. 17.1 - Prob. 19ECh. 17.1 - Prob. 20ECh. 17.1 - Prob. 21ECh. 17.1 - Prob. 22ECh. 17.1 - Prob. 23ECh. 17.1 - Prob. 24ECh. 17.1 - Prob. 25ECh. 17.1 - Prob. 26ECh. 17.1 - Prob. 27ECh. 17.1 - Prob. 28ECh. 17.1 - Prob. 29ECh. 17.1 - Prob. 30ECh. 17.1 - Prob. 31ECh. 17.1 - Prob. 32ECh. 17.1 - Prob. 33ECh. 17.1 - Prob. 34ECh. 17.1 - Prob. 35ECh. 17.1 - Prob. 36ECh. 17.1 - Prob. 37ECh. 17.1 - Prob. 38ECh. 17.1 - Prob. 39ECh. 17.1 - Prob. 40ECh. 17.1 - Prob. 41ECh. 17.1 - Prob. 42ECh. 17.1 - Prob. 43ECh. 17.1 - Prob. 44ECh. 17.1 - Prob. 45ECh. 17.1 - Prob. 46ECh. 17.1 - Prob. 47ECh. 17.1 - Prob. 48ECh. 17.1 - Prob. 49ECh. 17.1 - Prob. 50ECh. 17.1 - Prob. 51ECh. 17.1 - Prob. 52ECh. 17.1 - Prob. 53ECh. 17.1 - Prob. 54ECh. 17.1 - Prob. 55ECh. 17.1 - Prob. 56ECh. 17.1 - Prob. 57ECh. 17.2 - Prob. 1PQCh. 17.2 - Prob. 2PQCh. 17.2 - Prob. 3PQCh. 17.2 - Prob. 4PQCh. 17.2 - Prob. 1ECh. 17.2 - Prob. 2ECh. 17.2 - Prob. 3ECh. 17.2 - Prob. 4ECh. 17.2 - Prob. 5ECh. 17.2 - Prob. 6ECh. 17.2 - Prob. 7ECh. 17.2 - Prob. 8ECh. 17.2 - Prob. 9ECh. 17.2 - Prob. 10ECh. 17.2 - Prob. 11ECh. 17.2 - Prob. 12ECh. 17.2 - Prob. 13ECh. 17.2 - Prob. 14ECh. 17.2 - Prob. 15ECh. 17.2 - Prob. 16ECh. 17.2 - Prob. 17ECh. 17.2 - Prob. 18ECh. 17.2 - Prob. 19ECh. 17.2 - Prob. 20ECh. 17.2 - Prob. 21ECh. 17.2 - Prob. 22ECh. 17.2 - Prob. 23ECh. 17.2 - Prob. 24ECh. 17.2 - Prob. 25ECh. 17.2 - Prob. 26ECh. 17.2 - Prob. 27ECh. 17.2 - Prob. 28ECh. 17.2 - Prob. 29ECh. 17.2 - Prob. 30ECh. 17.2 - Prob. 31ECh. 17.2 - Prob. 32ECh. 17.2 - Prob. 33ECh. 17.2 - Prob. 34ECh. 17.2 - Prob. 35ECh. 17.2 - Prob. 36ECh. 17.2 - Prob. 37ECh. 17.2 - Prob. 38ECh. 17.2 - Prob. 39ECh. 17.2 - Prob. 40ECh. 17.2 - Prob. 41ECh. 17.2 - Prob. 42ECh. 17.2 - Prob. 43ECh. 17.2 - Prob. 44ECh. 17.2 - Prob. 45ECh. 17.2 - Prob. 46ECh. 17.2 - Prob. 47ECh. 17.2 - Prob. 48ECh. 17.2 - Prob. 49ECh. 17.2 - Prob. 50ECh. 17.2 - Prob. 51ECh. 17.2 - Prob. 52ECh. 17.2 - Prob. 53ECh. 17.2 - Prob. 54ECh. 17.2 - Prob. 55ECh. 17.2 - Prob. 56ECh. 17.2 - Prob. 57ECh. 17.2 - Prob. 58ECh. 17.2 - Prob. 59ECh. 17.2 - Prob. 60ECh. 17.2 - Prob. 61ECh. 17.2 - Prob. 62ECh. 17.2 - Prob. 63ECh. 17.2 - Prob. 64ECh. 17.2 - Prob. 65ECh. 17.2 - Prob. 66ECh. 17.2 - Prob. 67ECh. 17.2 - Prob. 68ECh. 17.2 - Prob. 69ECh. 17.2 - Prob. 70ECh. 17.2 - Prob. 71ECh. 17.2 - Prob. 72ECh. 17.2 - Prob. 73ECh. 17.2 - Prob. 74ECh. 17.2 - Prob. 75ECh. 17.3 - Prob. 1PQCh. 17.3 - Prob. 2PQCh. 17.3 - Prob. 3PQCh. 17.3 - Prob. 4PQCh. 17.3 - Prob. 1ECh. 17.3 - Prob. 2ECh. 17.3 - Prob. 3ECh. 17.3 - Prob. 4ECh. 17.3 - Prob. 5ECh. 17.3 - Prob. 6ECh. 17.3 - Prob. 7ECh. 17.3 - Prob. 8ECh. 17.3 - Prob. 9ECh. 17.3 - Prob. 10ECh. 17.3 - Prob. 11ECh. 17.3 - Prob. 12ECh. 17.3 - Prob. 13ECh. 17.3 - Prob. 14ECh. 17.3 - Prob. 15ECh. 17.3 - Prob. 16ECh. 17.3 - Prob. 17ECh. 17.3 - Prob. 18ECh. 17.3 - Prob. 19ECh. 17.3 - Prob. 20ECh. 17.3 - Prob. 21ECh. 17.3 - Prob. 22ECh. 17.3 - Prob. 23ECh. 17.3 - Prob. 24ECh. 17.3 - Prob. 25ECh. 17.3 - Prob. 26ECh. 17.3 - Prob. 27ECh. 17.3 - Prob. 28ECh. 17.3 - Prob. 29ECh. 17.3 - Prob. 30ECh. 17.3 - Prob. 31ECh. 17.3 - Prob. 32ECh. 17.3 - Prob. 33ECh. 17.3 - Prob. 34ECh. 17.3 - Prob. 35ECh. 17.4 - Prob. 1PQCh. 17.4 - Prob. 2PQCh. 17.4 - Prob. 3PQCh. 17.4 - Prob. 4PQCh. 17.4 - Prob. 5PQCh. 17.4 - Prob. 6PQCh. 17.4 - Prob. 1ECh. 17.4 - Prob. 2ECh. 17.4 - Prob. 3ECh. 17.4 - Prob. 4ECh. 17.4 - Prob. 5ECh. 17.4 - Prob. 6ECh. 17.4 - Prob. 7ECh. 17.4 - Prob. 8ECh. 17.4 - Prob. 9ECh. 17.4 - Prob. 10ECh. 17.4 - Prob. 11ECh. 17.4 - Prob. 12ECh. 17.4 - Prob. 13ECh. 17.4 - Prob. 14ECh. 17.4 - Prob. 15ECh. 17.4 - Prob. 16ECh. 17.4 - Prob. 17ECh. 17.4 - Prob. 18ECh. 17.4 - Prob. 19ECh. 17.4 - Prob. 20ECh. 17.4 - Prob. 21ECh. 17.4 - Prob. 22ECh. 17.4 - Prob. 23ECh. 17.4 - Prob. 24ECh. 17.4 - Prob. 25ECh. 17.4 - Prob. 26ECh. 17.4 - Prob. 27ECh. 17.4 - Prob. 28ECh. 17.4 - Prob. 29ECh. 17.4 - Prob. 30ECh. 17.4 - Prob. 31ECh. 17.4 - Prob. 32ECh. 17.4 - Prob. 33ECh. 17.4 - Prob. 34ECh. 17.4 - Prob. 35ECh. 17.4 - Prob. 36ECh. 17.4 - Prob. 37ECh. 17.4 - Prob. 38ECh. 17.4 - Prob. 39ECh. 17.4 - Prob. 40ECh. 17.4 - Prob. 41ECh. 17.4 - Prob. 42ECh. 17.4 - Prob. 43ECh. 17.4 - Prob. 44ECh. 17.4 - Prob. 45ECh. 17.4 - Prob. 46ECh. 17.4 - Prob. 47ECh. 17.4 - Prob. 48ECh. 17.4 - Prob. 49ECh. 17.4 - Prob. 50ECh. 17.4 - Prob. 51ECh. 17.5 - Prob. 1PQCh. 17.5 - Prob. 2PQCh. 17.5 - Prob. 3PQCh. 17.5 - Prob. 4PQCh. 17.5 - Prob. 5PQCh. 17.5 - Prob. 6PQCh. 17.5 - Prob. 7PQCh. 17.5 - Prob. 1ECh. 17.5 - Prob. 2ECh. 17.5 - Prob. 3ECh. 17.5 - Prob. 4ECh. 17.5 - Prob. 5ECh. 17.5 - Prob. 6ECh. 17.5 - Prob. 7ECh. 17.5 - Prob. 8ECh. 17.5 - Prob. 9ECh. 17.5 - Prob. 10ECh. 17.5 - Prob. 11ECh. 17.5 - Prob. 12ECh. 17.5 - Prob. 13ECh. 17.5 - Prob. 14ECh. 17.5 - Prob. 15ECh. 17.5 - Prob. 16ECh. 17.5 - Prob. 17ECh. 17.5 - Prob. 18ECh. 17.5 - Prob. 19ECh. 17.5 - Prob. 20ECh. 17.5 - Prob. 21ECh. 17.5 - Prob. 22ECh. 17.5 - Prob. 23ECh. 17.5 - Prob. 24ECh. 17.5 - Prob. 25ECh. 17.5 - Prob. 26ECh. 17.5 - Prob. 27ECh. 17.5 - Prob. 28ECh. 17.5 - Prob. 29ECh. 17.5 - Prob. 30ECh. 17.5 - Prob. 31ECh. 17.5 - Prob. 32ECh. 17.5 - Prob. 33ECh. 17.5 - Prob. 34ECh. 17.5 - Prob. 35ECh. 17.5 - Prob. 36ECh. 17.5 - Prob. 37ECh. 17.5 - Prob. 38ECh. 17 - Prob. 1CRECh. 17 - Prob. 2CRECh. 17 - Prob. 3CRECh. 17 - Prob. 4CRECh. 17 - Prob. 5CRECh. 17 - Prob. 6CRECh. 17 - Prob. 7CRECh. 17 - Prob. 8CRECh. 17 - Prob. 9CRECh. 17 - Prob. 10CRECh. 17 - Prob. 11CRECh. 17 - Prob. 12CRECh. 17 - Prob. 13CRECh. 17 - Prob. 14CRECh. 17 - Prob. 15CRECh. 17 - Prob. 16CRECh. 17 - Prob. 17CRECh. 17 - Prob. 18CRECh. 17 - Prob. 19CRECh. 17 - Prob. 20CRECh. 17 - Prob. 21CRECh. 17 - Prob. 22CRECh. 17 - Prob. 23CRECh. 17 - Prob. 24CRECh. 17 - Prob. 25CRECh. 17 - Prob. 26CRECh. 17 - Prob. 27CRECh. 17 - Prob. 28CRECh. 17 - Prob. 29CRECh. 17 - Prob. 30CRECh. 17 - Prob. 31CRECh. 17 - Prob. 32CRECh. 17 - Prob. 33CRECh. 17 - Prob. 34CRECh. 17 - Prob. 35CRECh. 17 - Prob. 36CRECh. 17 - Prob. 37CRECh. 17 - Prob. 38CRECh. 17 - Prob. 39CRECh. 17 - Prob. 40CRECh. 17 - Prob. 41CRECh. 17 - Prob. 42CRECh. 17 - Prob. 43CRECh. 17 - Prob. 44CRECh. 17 - Prob. 45CRECh. 17 - Prob. 46CRECh. 17 - Prob. 47CRECh. 17 - Prob. 48CRECh. 17 - Prob. 49CRECh. 17 - Prob. 50CRECh. 17 - Prob. 51CRECh. 17 - Prob. 52CRECh. 17 - Prob. 53CRECh. 17 - Prob. 54CRECh. 17 - Prob. 55CRECh. 17 - Prob. 56CRECh. 17 - Prob. 57CRECh. 17 - Prob. 58CRECh. 17 - Prob. 59CRECh. 17 - Prob. 60CRECh. 17 - Prob. 61CRE
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