Precalculus: A Unit Circle Approach
2nd Edition
ISBN: 9780321825391
Author: Ratti
Publisher: PEARSON
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Chapter A.2, Problem 16E
To determine
To perform the indicated operation and write the resulting polynomial in standard form.
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For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.
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.
Chapter A.2 Solutions
Precalculus: A Unit Circle Approach
Ch. A.2 - In Exercises 1-4, determine whether the given...Ch. A.2 - In Exercises 1-4, determine whether the given...Ch. A.2 - In Exercises 1-4, determine whether the given...Ch. A.2 - Prob. 4ECh. A.2 - In Exercises 5-8, find the degree and list the...Ch. A.2 - Prob. 6ECh. A.2 - Prob. 7ECh. A.2 - Prob. 8ECh. A.2 - In Exercises 9-16, perform the indicated...Ch. A.2 - In Exercises 9-16, perform the indicated...
Ch. A.2 - In Exercises 9-16, perform the indicated...Ch. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Prob. 34ECh. A.2 - Prob. 35ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - In Exercises 17-50, perform the indicated...Ch. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 66ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 75ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 81ECh. A.2 - Prob. 82ECh. A.2 - Prob. 83ECh. A.2 - Prob. 84ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 86ECh. A.2 - Prob. 87ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 94ECh. A.2 - Prob. 95ECh. A.2 - Prob. 96ECh. A.2 - Prob. 97ECh. A.2 - Prob. 98ECh. A.2 - Prob. 99ECh. A.2 - Prob. 100ECh. A.2 - Prob. 101ECh. A.2 - Prob. 102ECh. A.2 - Prob. 103ECh. A.2 - Prob. 104ECh. A.2 - Prob. 105ECh. A.2 - Prob. 106ECh. A.2 - Prob. 107ECh. A.2 - Prob. 108ECh. A.2 - Prob. 109ECh. A.2 - Prob. 110ECh. A.2 - Prob. 111ECh. A.2 - Prob. 112ECh. A.2 - Prob. 113ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 116ECh. A.2 - Prob. 117ECh. A.2 - Prob. 118ECh. A.2 - Prob. 119ECh. A.2 - Prob. 120ECh. A.2 - Prob. 121ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 123ECh. A.2 - Prob. 124ECh. A.2 - In Exercises 61-108, factor each polynomial...Ch. A.2 - Prob. 126ECh. A.2 - Prob. 127ECh. A.2 - Prob. 128ECh. A.2 - Prob. 129ECh. A.2 - Prob. 130ECh. A.2 - Prob. 131ECh. A.2 - Prob. 132ECh. A.2 - Prob. 133ECh. A.2 - Prob. 134ECh. A.2 - Prob. 135ECh. A.2 - Prob. 136ECh. A.2 - Prob. 137ECh. A.2 - Prob. 138ECh. A.2 - Prob. 139ECh. A.2 - Prob. 140ECh. A.2 - Prob. 141ECh. A.2 - Prob. 142ECh. A.2 - Prob. 143ECh. A.2 - Prob. 144E
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