Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 71, Problem 10A
For each angle, sketch a right triangle. Label the sides of the triangles
172°
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Students have asked these similar questions
Construct tables showing the values of alI the Dirichlet characters mod k fork = 8,9, and 10.
(please show me result in a table and the equation in mathematical format.)
Example: For what odd primes p is 11 a quadratic residue modulo p?
Solution:
This is really asking "when is (11 | p) =1?"
First, 11 = 3 (mod 4). To use LQR, consider two cases p = 1 or 3 (mod 4):
p=1 We have 1 = (11 | p) = (p | 11), so p is a quadratic residue modulo 11. By
brute force:
121, 224, 3² = 9, 4² = 5, 5² = 3 (mod 11)
so the quadratic residues mod 11 are 1,3,4,5,9.
Using CRT for p = 1 (mod 4) & p = 1,3,4,5,9 (mod 11).
p = 1
(mod 4)
&
p = 1
(mod 11
gives p
1
(mod 44).
p = 1
(mod 4)
&
p = 3
(mod 11)
gives p25
(mod 44).
p = 1
(mod 4)
&
p = 4
(mod 11)
gives p=37
(mod 44).
p = 1
(mod 4)
&
p = 5
(mod 11)
gives p
5
(mod 44).
p = 1
(mod 4)
&
p=9
(mod 11)
gives p
9
(mod 44).
So p =1,5,9,25,37 (mod 44).
how to construct the following same table?
Chapter 71 Solutions
Mathematics For Machine Technology
Ch. 71 - Prob. 1ACh. 71 - Find the distance y to the nearest hundredth of an...Ch. 71 - Prob. 3ACh. 71 - If A = 3650', determine sin A, cos A, tan A, cot...Ch. 71 - Prob. 5ACh. 71 - Find x.Ch. 71 - For each angle, sketch a right triangle. Label the...Ch. 71 - For each angle, sketch a right triangle. Label the...Ch. 71 - Prob. 9ACh. 71 - For each angle, sketch a right triangle. Label the...
Ch. 71 - Prob. 11ACh. 71 - For each angle, sketch a right triangle. Label the...Ch. 71 - Prob. 13ACh. 71 - For each angle, sketch a right triangle. Label the...Ch. 71 - Prob. 15ACh. 71 - For each angle, sketch a right triangle. Label the...Ch. 71 - Prob. 17ACh. 71 - For each angle, sketch a right triangle. Label the...
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