Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00 Edition
ISBN: 9780395977224
Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher: McDougal Littell
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Question
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Chapter 8.8, Problem 5CE
To determine

Calculate the vortex of the given algebraic function and draw a sketch.

Expert Solution & Answer
Check Mark

Answer to Problem 5CE

The solution is

  vortex=(4,13)

  Algebra: Structure And Method, Book 1, Chapter 8.8, Problem 5CE

Explanation of Solution

Given: The function is given

  f(x)=2x2+4x3

Calculation:

The algebraic function in the quadratic form

  ax2+bx+c

In the comparison

  a=2;b=4;c=3

Calculate the vortex

  vortex=(b2a,f(b2a))

After simplifying we will get the solution

  vortex=(4,13)

program:

clc
clear
close all
% syms x
f=@(x) 2*x^2+4*x-3; %%% a quadratic equation a*x^2+b*x+c
a=2;b=4;c=-3;
vortex=[-b./2*a  f(-b./2*a)]
p=ezplot(f);
p.LineWidth=1.2;
set(gca,'linewidth',1.2,'Fontsize',12)
ylabel('f(x)')
axis square

Query:

  • First, we have defined the given algebraic relation.
  • Compare with the quadratic equation.
  • Then find the value of a, b, and c.
  • The calculate the vortex.
  • Sketch a figure.

Chapter 8 Solutions

Algebra: Structure And Method, Book 1

Ch. 8.1 - Prob. 11OECh. 8.1 - Prob. 12OECh. 8.1 - Prob. 13OECh. 8.1 - Prob. 14OECh. 8.1 - Prob. 15OECh. 8.1 - Prob. 16OECh. 8.1 - Prob. 1WECh. 8.1 - Prob. 2WECh. 8.1 - Prob. 3WECh. 8.1 - Prob. 4WECh. 8.1 - Prob. 5WECh. 8.1 - Prob. 6WECh. 8.1 - Prob. 7WECh. 8.1 - Prob. 8WECh. 8.1 - Prob. 9WECh. 8.1 - Prob. 10WECh. 8.1 - Prob. 11WECh. 8.1 - Prob. 12WECh. 8.1 - Prob. 13WECh. 8.1 - Prob. 14WECh. 8.1 - Prob. 15WECh. 8.1 - Prob. 16WECh. 8.1 - Prob. 17WECh. 8.1 - Prob. 18WECh. 8.1 - Prob. 19WECh. 8.1 - Prob. 20WECh. 8.1 - Prob. 21WECh. 8.1 - Prob. 22WECh. 8.1 - Prob. 23WECh. 8.1 - Prob. 24WECh. 8.1 - Prob. 25WECh. 8.1 - Prob. 26WECh. 8.1 - Prob. 27WECh. 8.1 - Prob. 28WECh. 8.1 - Prob. 29WECh. 8.1 - Prob. 30WECh. 8.1 - Prob. 31WECh. 8.1 - Prob. 32WECh. 8.1 - Prob. 33WECh. 8.1 - Prob. 34WECh. 8.1 - Prob. 35WECh. 8.1 - Prob. 36WECh. 8.1 - Prob. 37WECh. 8.1 - Prob. 38WECh. 8.1 - Prob. 39WECh. 8.1 - Prob. 40WECh. 8.1 - Prob. 41WECh. 8.1 - Prob. 42WECh. 8.1 - Prob. 43WECh. 8.1 - Prob. 44WECh. 8.1 - Prob. 45WECh. 8.1 - Prob. 1MRECh. 8.1 - Prob. 2MRECh. 8.1 - Prob. 3MRECh. 8.1 - Prob. 4MRECh. 8.1 - Prob. 5MRECh. 8.1 - Prob. 6MRECh. 8.1 - Prob. 7MRECh. 8.1 - Prob. 8MRECh. 8.1 - Prob. 9MRECh. 8.1 - Prob. 10MRECh. 8.1 - Prob. 1CECh. 8.1 - Prob. 2CECh. 8.1 - Prob. 3CECh. 8.1 - Prob. 4CECh. 8.1 - Prob. 5CECh. 8.1 - Prob. 6CECh. 8.2 - Prob. 1OECh. 8.2 - Prob. 2OECh. 8.2 - Prob. 3OECh. 8.2 - Prob. 4OECh. 8.2 - Prob. 5OECh. 8.2 - Prob. 6OECh. 8.2 - Prob. 7OECh. 8.2 - Prob. 8OECh. 8.2 - Prob. 9OECh. 8.2 - Prob. 10OECh. 8.2 - Prob. 11OECh. 8.2 - Prob. 12OECh. 8.2 - Prob. 13OECh. 8.2 - Prob. 14OECh. 8.2 - Prob. 15OECh. 8.2 - Prob. 16OECh. 8.2 - Prob. 17OECh. 8.2 - Prob. 18OECh. 8.2 - Prob. 19OECh. 8.2 - Prob. 20OECh. 8.2 - Prob. 21OECh. 8.2 - Prob. 22OECh. 8.2 - Prob. 23OECh. 8.2 - Prob. 24OECh. 8.2 - Prob. 25OECh. 8.2 - Prob. 26OECh. 8.2 - Prob. 27OECh. 8.2 - Prob. 28OECh. 8.2 - Prob. 29OECh. 8.2 - Prob. 30OECh. 8.2 - Prob. 31OECh. 8.2 - Prob. 32OECh. 8.2 - Prob. 33OECh. 8.2 - Prob. 34OECh. 8.2 - Prob. 35OECh. 8.2 - Prob. 1WECh. 8.2 - Prob. 2WECh. 8.2 - Prob. 3WECh. 8.2 - Prob. 4WECh. 8.2 - Prob. 5WECh. 8.2 - Prob. 6WECh. 8.2 - Prob. 7WECh. 8.2 - Prob. 8WECh. 8.2 - Prob. 9WECh. 8.2 - Prob. 10WECh. 8.2 - Prob. 11WECh. 8.2 - Prob. 12WECh. 8.2 - Prob. 13WECh. 8.2 - Prob. 14WECh. 8.2 - Prob. 15WECh. 8.2 - Prob. 16WECh. 8.2 - Prob. 17WECh. 8.2 - Prob. 18WECh. 8.2 - Prob. 19WECh. 8.2 - Prob. 20WECh. 8.2 - Prob. 21WECh. 8.2 - Prob. 22WECh. 8.2 - Prob. 23WECh. 8.2 - Prob. 24WECh. 8.2 - Prob. 25WECh. 8.2 - Prob. 26WECh. 8.2 - Prob. 27WECh. 8.2 - Prob. 28WECh. 8.2 - Prob. 29WECh. 8.2 - Prob. 30WECh. 8.2 - Prob. 31WECh. 8.2 - Prob. 32WECh. 8.2 - Prob. 33WECh. 8.2 - Prob. 34WECh. 8.2 - Prob. 35WECh. 8.2 - Prob. 36WECh. 8.2 - Prob. 37WECh. 8.2 - Prob. 38WECh. 8.2 - Prob. 39WECh. 8.2 - Prob. 40WECh. 8.2 - Prob. 41WECh. 8.2 - Prob. 42WECh. 8.2 - Prob. 43WECh. 8.2 - Prob. 44WECh. 8.2 - Prob. 45WECh. 8.2 - Prob. 46WECh. 8.2 - Prob. 47WECh. 8.2 - Prob. 48WECh. 8.2 - Prob. 1MRECh. 8.2 - Prob. 2MRECh. 8.2 - 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Prob. 19WECh. 8.3 - Prob. 20WECh. 8.3 - Prob. 21WECh. 8.3 - Prob. 22WECh. 8.3 - Prob. 23WECh. 8.3 - Prob. 24WECh. 8.3 - Prob. 25WECh. 8.3 - Prob. 26WECh. 8.3 - Prob. 27WECh. 8.3 - Prob. 28WECh. 8.3 - Prob. 29WECh. 8.3 - Prob. 30WECh. 8.3 - Prob. 31WECh. 8.3 - Prob. 32WECh. 8.3 - Prob. 33WECh. 8.3 - Prob. 34WECh. 8.3 - Prob. 35WECh. 8.3 - Prob. 36WECh. 8.3 - Prob. 37WECh. 8.3 - Prob. 38WECh. 8.3 - Prob. 39WECh. 8.3 - Prob. 40WECh. 8.3 - Prob. 41WECh. 8.3 - Prob. 42WECh. 8.3 - Prob. 1MRECh. 8.3 - Prob. 2MRECh. 8.3 - Prob. 3MRECh. 8.3 - Prob. 4MRECh. 8.3 - Prob. 5MRECh. 8.3 - Prob. 6MRECh. 8.3 - Prob. 7MRECh. 8.3 - Prob. 8MRECh. 8.3 - Prob. 9MRECh. 8.3 - Prob. 10MRECh. 8.3 - Prob. 11MRECh. 8.3 - Prob. 12MRECh. 8.4 - Prob. 1OECh. 8.4 - Prob. 2OECh. 8.4 - Prob. 3OECh. 8.4 - Prob. 4OECh. 8.4 - Prob. 5OECh. 8.4 - Prob. 6OECh. 8.4 - Prob. 7OECh. 8.4 - Prob. 8OECh. 8.4 - Prob. 9OECh. 8.4 - Prob. 10OECh. 8.4 - Prob. 11OECh. 8.4 - Prob. 12OECh. 8.4 - Prob. 1WECh. 8.4 - Prob. 2WECh. 8.4 - Prob. 3WECh. 8.4 - Prob. 4WECh. 8.4 - Prob. 5WECh. 8.4 - Prob. 6WECh. 8.4 - Prob. 7WECh. 8.4 - Prob. 8WECh. 8.4 - Prob. 9WECh. 8.4 - Prob. 10WECh. 8.4 - Prob. 11WECh. 8.4 - Prob. 12WECh. 8.4 - Prob. 13WECh. 8.4 - Prob. 14WECh. 8.4 - Prob. 15WECh. 8.4 - Prob. 16WECh. 8.4 - Prob. 17WECh. 8.4 - Prob. 18WECh. 8.4 - Prob. 19WECh. 8.4 - Prob. 20WECh. 8.4 - Prob. 21WECh. 8.4 - Prob. 22WECh. 8.4 - Prob. 23WECh. 8.4 - Prob. 24WECh. 8.4 - Prob. 25WECh. 8.4 - Prob. 26WECh. 8.4 - Prob. 27WECh. 8.4 - Prob. 28WECh. 8.4 - Prob. 29WECh. 8.4 - Prob. 30WECh. 8.4 - Prob. 31WECh. 8.4 - Prob. 32WECh. 8.4 - Prob. 33WECh. 8.4 - Prob. 34WECh. 8.4 - Prob. 35WECh. 8.4 - Prob. 36WECh. 8.4 - Prob. 37WECh. 8.4 - Prob. 38WECh. 8.4 - Prob. 39WECh. 8.4 - Prob. 40WECh. 8.4 - Prob. 41WECh. 8.4 - Prob. 42WECh. 8.4 - Prob. 43WECh. 8.4 - Prob. 44WECh. 8.4 - Prob. 45WECh. 8.4 - Prob. 1MRECh. 8.4 - Prob. 2MRECh. 8.4 - Prob. 3MRECh. 8.4 - Prob. 4MRECh. 8.4 - Prob. 5MRECh. 8.4 - Prob. 6MRECh. 8.4 - Prob. 7MRECh. 8.4 - Prob. 8MRECh. 8.4 - Prob. 9MRECh. 8.4 - Prob. 10MRECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.5 - Prob. 1OECh. 8.5 - Prob. 2OECh. 8.5 - Prob. 3OECh. 8.5 - Prob. 4OECh. 8.5 - Prob. 5OECh. 8.5 - Prob. 6OECh. 8.5 - Prob. 1WECh. 8.5 - Prob. 2WECh. 8.5 - Prob. 3WECh. 8.5 - Prob. 4WECh. 8.5 - Prob. 5WECh. 8.5 - Prob. 6WECh. 8.5 - Prob. 7WECh. 8.5 - Prob. 8WECh. 8.5 - Prob. 9WECh. 8.5 - Prob. 10WECh. 8.5 - Prob. 11WECh. 8.5 - Prob. 12WECh. 8.5 - Prob. 13WECh. 8.5 - Prob. 14WECh. 8.5 - Prob. 15WECh. 8.5 - Prob. 16WECh. 8.5 - Prob. 17WECh. 8.5 - Prob. 18WECh. 8.5 - Prob. 19WECh. 8.5 - Prob. 20WECh. 8.5 - Prob. 21WECh. 8.5 - Prob. 22WECh. 8.5 - Prob. 23WECh. 8.5 - Prob. 24WECh. 8.5 - Prob. 25WECh. 8.5 - Prob. 26WECh. 8.5 - Prob. 27WECh. 8.5 - Prob. 28WECh. 8.5 - Prob. 29WECh. 8.5 - Prob. 30WECh. 8.5 - Prob. 31WECh. 8.5 - Prob. 32WECh. 8.5 - Prob. 33WECh. 8.5 - Prob. 34WECh. 8.5 - Prob. 35WECh. 8.5 - Prob. 36WECh. 8.5 - Prob. 37WECh. 8.5 - Prob. 38WECh. 8.5 - Prob. 39WECh. 8.5 - Prob. 40WECh. 8.5 - Prob. 41WECh. 8.5 - Prob. 42WECh. 8.5 - Prob. 1MRECh. 8.5 - Prob. 2MRECh. 8.5 - Prob. 3MRECh. 8.5 - Prob. 4MRECh. 8.5 - Prob. 5MRECh. 8.5 - Prob. 6MRECh. 8.5 - Prob. 7MRECh. 8.5 - Prob. 8MRECh. 8.5 - Prob. 1STCh. 8.5 - Prob. 2STCh. 8.5 - Prob. 3STCh. 8.5 - Prob. 4STCh. 8.5 - Prob. 5STCh. 8.5 - Prob. 6STCh. 8.6 - Prob. 1OECh. 8.6 - Prob. 2OECh. 8.6 - Prob. 3OECh. 8.6 - Prob. 4OECh. 8.6 - Prob. 5OECh. 8.6 - Prob. 6OECh. 8.6 - Prob. 1WECh. 8.6 - Prob. 2WECh. 8.6 - Prob. 3WECh. 8.6 - Prob. 4WECh. 8.6 - Prob. 5WECh. 8.6 - Prob. 6WECh. 8.6 - Prob. 7WECh. 8.6 - Prob. 8WECh. 8.6 - Prob. 9WECh. 8.6 - Prob. 10WECh. 8.6 - Prob. 1MRECh. 8.6 - Prob. 2MRECh. 8.6 - Prob. 3MRECh. 8.6 - Prob. 4MRECh. 8.6 - Prob. 5MRECh. 8.6 - Prob. 6MRECh. 8.6 - Prob. 7MRECh. 8.6 - Prob. 8MRECh. 8.7 - Prob. 1OECh. 8.7 - Prob. 2OECh. 8.7 - Prob. 3OECh. 8.7 - Prob. 4OECh. 8.7 - Prob. 5OECh. 8.7 - Prob. 6OECh. 8.7 - Prob. 7OECh. 8.7 - Prob. 8OECh. 8.7 - Prob. 9OECh. 8.7 - Prob. 10OECh. 8.7 - Prob. 11OECh. 8.7 - Prob. 12OECh. 8.7 - Prob. 13OECh. 8.7 - Prob. 14OECh. 8.7 - Prob. 15OECh. 8.7 - Prob. 16OECh. 8.7 - Prob. 17OECh. 8.7 - Prob. 18OECh. 8.7 - Prob. 19OECh. 8.7 - Prob. 20OECh. 8.7 - Prob. 1WECh. 8.7 - Prob. 2WECh. 8.7 - Prob. 3WECh. 8.7 - Prob. 4WECh. 8.7 - Prob. 5WECh. 8.7 - Prob. 6WECh. 8.7 - Prob. 7WECh. 8.7 - Prob. 8WECh. 8.7 - Prob. 9WECh. 8.7 - Prob. 10WECh. 8.7 - Prob. 11WECh. 8.7 - Prob. 12WECh. 8.7 - Prob. 13WECh. 8.7 - Prob. 14WECh. 8.7 - Prob. 15WECh. 8.7 - Prob. 16WECh. 8.7 - Prob. 17WECh. 8.7 - Prob. 18WECh. 8.7 - Prob. 19WECh. 8.7 - Prob. 20WECh. 8.7 - Prob. 21WECh. 8.7 - Prob. 22WECh. 8.7 - Prob. 23WECh. 8.7 - Prob. 24WECh. 8.7 - Prob. 25WECh. 8.7 - Prob. 26WECh. 8.7 - Prob. 27WECh. 8.7 - Prob. 28WECh. 8.7 - Prob. 29WECh. 8.7 - Prob. 30WECh. 8.7 - Prob. 31WECh. 8.7 - Prob. 32WECh. 8.7 - Prob. 33WECh. 8.7 - Prob. 34WECh. 8.7 - Prob. 35WECh. 8.7 - Prob. 36WECh. 8.7 - Prob. 37WECh. 8.7 - Prob. 38WECh. 8.7 - Prob. 39WECh. 8.7 - Prob. 40WECh. 8.7 - Prob. 41WECh. 8.7 - Prob. 42WECh. 8.7 - Prob. 43WECh. 8.7 - Prob. 44WECh. 8.7 - Prob. 45WECh. 8.7 - Prob. 46WECh. 8.7 - Prob. 47WECh. 8.7 - Prob. 48WECh. 8.7 - Prob. 1MRECh. 8.7 - Prob. 2MRECh. 8.7 - Prob. 3MRECh. 8.7 - Prob. 4MRECh. 8.7 - Prob. 5MRECh. 8.7 - Prob. 6MRECh. 8.7 - Prob. 7MRECh. 8.7 - Prob. 8MRECh. 8.7 - Prob. 9MRECh. 8.7 - Prob. 1CECh. 8.7 - Prob. 2CECh. 8.7 - Prob. 3CECh. 8.7 - Prob. 4CECh. 8.8 - Prob. 1OECh. 8.8 - Prob. 2OECh. 8.8 - Prob. 3OECh. 8.8 - Prob. 4OECh. 8.8 - Prob. 5OECh. 8.8 - Prob. 6OECh. 8.8 - Prob. 7OECh. 8.8 - Prob. 8OECh. 8.8 - Prob. 9OECh. 8.8 - Prob. 10OECh. 8.8 - Prob. 11OECh. 8.8 - Prob. 12OECh. 8.8 - Prob. 13OECh. 8.8 - Prob. 14OECh. 8.8 - Prob. 15OECh. 8.8 - Prob. 16OECh. 8.8 - Prob. 17OECh. 8.8 - Prob. 18OECh. 8.8 - Prob. 1WECh. 8.8 - Prob. 2WECh. 8.8 - Prob. 3WECh. 8.8 - Prob. 4WECh. 8.8 - Prob. 5WECh. 8.8 - Prob. 6WECh. 8.8 - Prob. 7WECh. 8.8 - Prob. 8WECh. 8.8 - Prob. 9WECh. 8.8 - Prob. 10WECh. 8.8 - Prob. 11WECh. 8.8 - Prob. 12WECh. 8.8 - Prob. 13WECh. 8.8 - Prob. 14WECh. 8.8 - Prob. 15WECh. 8.8 - Prob. 16WECh. 8.8 - Prob. 17WECh. 8.8 - Prob. 18WECh. 8.8 - Prob. 19WECh. 8.8 - Prob. 20WECh. 8.8 - Prob. 21WECh. 8.8 - Prob. 22WECh. 8.8 - Prob. 23WECh. 8.8 - Prob. 24WECh. 8.8 - Prob. 25WECh. 8.8 - Prob. 26WECh. 8.8 - Prob. 27WECh. 8.8 - Prob. 28WECh. 8.8 - Prob. 29WECh. 8.8 - Prob. 30WECh. 8.8 - Prob. 31WECh. 8.8 - Prob. 32WECh. 8.8 - Prob. 33WECh. 8.8 - Prob. 34WECh. 8.8 - Prob. 35WECh. 8.8 - Prob. 36WECh. 8.8 - Prob. 37WECh. 8.8 - Prob. 38WECh. 8.8 - Prob. 39WECh. 8.8 - Prob. 40WECh. 8.8 - Prob. 41WECh. 8.8 - Prob. 42WECh. 8.8 - Prob. 1MRECh. 8.8 - Prob. 2MRECh. 8.8 - Prob. 3MRECh. 8.8 - Prob. 4MRECh. 8.8 - Prob. 5MRECh. 8.8 - Prob. 6MRECh. 8.8 - Prob. 7MRECh. 8.8 - Prob. 8MRECh. 8.8 - Prob. 1CECh. 8.8 - Prob. 2CECh. 8.8 - Prob. 3CECh. 8.8 - Prob. 4CECh. 8.8 - Prob. 5CECh. 8.8 - Prob. 6CECh. 8.8 - Prob. 1STCh. 8.8 - Prob. 2STCh. 8.8 - Prob. 3STCh. 8.8 - Prob. 4STCh. 8.8 - Prob. 5STCh. 8.8 - Prob. 1ECh. 8.8 - Prob. 2ECh. 8.8 - Prob. 3ECh. 8.8 - Prob. 4ECh. 8.8 - Prob. 5ECh. 8.8 - Prob. 6ECh. 8.8 - Prob. 7ECh. 8.8 - Prob. 8ECh. 8.8 - Prob. 9ECh. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.8 - Prob. 13ECh. 8.8 - Prob. 14ECh. 8.8 - Prob. 15ECh. 8.8 - Prob. 16ECh. 8.8 - Prob. 17ECh. 8.8 - Prob. 18ECh. 8.8 - Prob. 19ECh. 8.8 - Prob. 20ECh. 8.8 - Prob. 21ECh. 8.8 - Prob. 22ECh. 8.8 - Prob. 23ECh. 8.8 - Prob. 24ECh. 8.9 - Prob. 1OECh. 8.9 - Prob. 2OECh. 8.9 - Prob. 3OECh. 8.9 - Prob. 4OECh. 8.9 - Prob. 5OECh. 8.9 - Prob. 6OECh. 8.9 - Prob. 7OECh. 8.9 - Prob. 8OECh. 8.9 - Prob. 9OECh. 8.9 - Prob. 10OECh. 8.9 - Prob. 11OECh. 8.9 - Prob. 12OECh. 8.9 - Prob. 13OECh. 8.9 - Prob. 14OECh. 8.9 - Prob. 15OECh. 8.9 - Prob. 16OECh. 8.9 - Prob. 17OECh. 8.9 - Prob. 18OECh. 8.9 - Prob. 19OECh. 8.9 - Prob. 20OECh. 8.9 - Prob. 21OECh. 8.9 - Prob. 22OECh. 8.9 - Prob. 23OECh. 8.9 - Prob. 24OECh. 8.9 - Prob. 1WECh. 8.9 - Prob. 2WECh. 8.9 - Prob. 3WECh. 8.9 - Prob. 4WECh. 8.9 - Prob. 5WECh. 8.9 - Prob. 6WECh. 8.9 - Prob. 7WECh. 8.9 - Prob. 8WECh. 8.9 - Prob. 9WECh. 8.9 - Prob. 10WECh. 8.9 - Prob. 11WECh. 8.9 - Prob. 12WECh. 8.9 - Prob. 13WECh. 8.9 - Prob. 14WECh. 8.9 - Prob. 15WECh. 8.9 - Prob. 16WECh. 8.9 - Prob. 17WECh. 8.9 - Prob. 18WECh. 8.9 - Prob. 19WECh. 8.9 - Prob. 20WECh. 8.9 - Prob. 21WECh. 8.9 - Prob. 22WECh. 8.9 - Prob. 23WECh. 8.9 - Prob. 24WECh. 8.9 - Prob. 1PCh. 8.9 - Prob. 2PCh. 8.9 - Prob. 3PCh. 8.9 - Prob. 4PCh. 8.9 - Prob. 5PCh. 8.9 - Prob. 6PCh. 8.9 - Prob. 7PCh. 8.9 - Prob. 8PCh. 8.9 - Prob. 9PCh. 8.9 - Prob. 10PCh. 8.9 - Prob. 11PCh. 8.9 - Prob. 12PCh. 8.9 - Prob. 13PCh. 8.9 - Prob. 14PCh. 8.9 - Prob. 15PCh. 8.9 - Prob. 1MRECh. 8.9 - Prob. 2MRECh. 8.9 - Prob. 3MRECh. 8.9 - Prob. 4MRECh. 8.9 - Prob. 5MRECh. 8.9 - Prob. 6MRECh. 8.9 - Prob. 7MRECh. 8.9 - Prob. 8MRECh. 8.9 - Prob. 9MRECh. 8.9 - Prob. 10MRECh. 8.9 - Prob. 11MRECh. 8.9 - Prob. 12MRECh. 8.10 - Prob. 1OECh. 8.10 - Prob. 2OECh. 8.10 - Prob. 3OECh. 8.10 - Prob. 4OECh. 8.10 - Prob. 5OECh. 8.10 - Prob. 6OECh. 8.10 - Prob. 7OECh. 8.10 - Prob. 8OECh. 8.10 - Prob. 9OECh. 8.10 - Prob. 10OECh. 8.10 - Prob. 11OECh. 8.10 - Prob. 12OECh. 8.10 - Prob. 13OECh. 8.10 - Prob. 14OECh. 8.10 - Prob. 15OECh. 8.10 - Prob. 16OECh. 8.10 - Prob. 17OECh. 8.10 - Prob. 18OECh. 8.10 - Prob. 1WECh. 8.10 - Prob. 2WECh. 8.10 - Prob. 3WECh. 8.10 - Prob. 4WECh. 8.10 - Prob. 5WECh. 8.10 - Prob. 6WECh. 8.10 - Prob. 7WECh. 8.10 - Prob. 8WECh. 8.10 - Prob. 9WECh. 8.10 - Prob. 10WECh. 8.10 - Prob. 11WECh. 8.10 - Prob. 12WECh. 8.10 - Prob. 13WECh. 8.10 - Prob. 14WECh. 8.10 - Prob. 15WECh. 8.10 - Prob. 16WECh. 8.10 - Prob. 17WECh. 8.10 - Prob. 18WECh. 8.10 - Prob. 19WECh. 8.10 - Prob. 20WECh. 8.10 - Prob. 1PCh. 8.10 - Prob. 2PCh. 8.10 - Prob. 3PCh. 8.10 - Prob. 4PCh. 8.10 - Prob. 5PCh. 8.10 - Prob. 6PCh. 8.10 - Prob. 7PCh. 8.10 - Prob. 8PCh. 8.10 - Prob. 9PCh. 8.10 - Prob. 10PCh. 8.10 - Prob. 11PCh. 8.10 - Prob. 12PCh. 8.10 - Prob. 13PCh. 8.10 - Prob. 14PCh. 8.10 - Prob. 15PCh. 8.10 - Prob. 16PCh. 8.10 - Prob. 17PCh. 8.10 - Prob. 18PCh. 8.10 - Prob. 1MRECh. 8.10 - Prob. 2MRECh. 8.10 - Prob. 3MRECh. 8.10 - Prob. 4MRECh. 8.10 - Prob. 5MRECh. 8.10 - Prob. 6MRECh. 8.10 - Prob. 7MRECh. 8.10 - Prob. 1CECh. 8.10 - Prob. 2CECh. 8.10 - Prob. 3CECh. 8.10 - Prob. 4CECh. 8.10 - Prob. 1STCh. 8.10 - Prob. 2STCh. 8.10 - Prob. 3STCh. 8.10 - Prob. 4STCh. 8.10 - Prob. 5STCh. 8.10 - Prob. 6STCh. 8.10 - Prob. 1ECh. 8.10 - Prob. 2ECh. 8.10 - Prob. 3ECh. 8.10 - Prob. 4ECh. 8.10 - Prob. 5ECh. 8.10 - Prob. 6ECh. 8.10 - Prob. 7ECh. 8.10 - Prob. 8ECh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - Prob. 3CTCh. 8 - Prob. 4CTCh. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Prob. 8CTCh. 8 - Prob. 9CTCh. 8 - Prob. 10CTCh. 8 - Prob. 11CTCh. 8 - Prob. 12CTCh. 8 - Prob. 13CTCh. 8 - Prob. 14CTCh. 8 - Prob. 15CTCh. 8 - Prob. 16CTCh. 8 - Prob. 17CTCh. 8 - Prob. 18CTCh. 8 - Prob. 19CTCh. 8 - Prob. 20CTCh. 8 - Prob. 21CTCh. 8 - Prob. 22CTCh. 8 - Prob. 23CTCh. 8 - Prob. 24CTCh. 8 - Prob. 25CTCh. 8 - Prob. 26CTCh. 8 - Prob. 27CTCh. 8 - Prob. 28CTCh. 8 - Prob. 29CTCh. 8 - Prob. 30CTCh. 8 - Prob. 31CTCh. 8 - Prob. 32CTCh. 8 - Prob. 33CTCh. 8 - Prob. 34CTCh. 8 - Prob. 35CTCh. 8 - Prob. 36CTCh. 8 - Prob. 37CTCh. 8 - Prob. 38CTCh. 8 - Prob. 39CTCh. 8 - Prob. 40CTCh. 8 - Prob. 41CTCh. 8 - Prob. 42CTCh. 8 - Prob. 43CTCh. 8 - Prob. 1CLRCh. 8 - Prob. 2CLRCh. 8 - Prob. 3CLRCh. 8 - Prob. 4CLRCh. 8 - Prob. 5CLRCh. 8 - Prob. 6CLRCh. 8 - Prob. 7CLRCh. 8 - Prob. 8CLRCh. 8 - Prob. 9CLRCh. 8 - Prob. 10CLRCh. 8 - Prob. 11CLRCh. 8 - Prob. 12CLRCh. 8 - Prob. 13CLRCh. 8 - Prob. 14CLRCh. 8 - Prob. 15CLRCh. 8 - Prob. 16CLRCh. 8 - Prob. 17CLRCh. 8 - Prob. 18CLRCh. 8 - Prob. 19CLRCh. 8 - Prob. 20CLRCh. 8 - Prob. 21CLRCh. 8 - Prob. 22CLRCh. 8 - Prob. 23CLRCh. 8 - Prob. 24CLRCh. 8 - Prob. 25CLRCh. 8 - Prob. 26CLRCh. 8 - Prob. 27CLRCh. 8 - Prob. 28CLRCh. 8 - Prob. 29CLRCh. 8 - Prob. 30CLRCh. 8 - Prob. 31CLRCh. 8 - Prob. 32CLRCh. 8 - Prob. 33CLRCh. 8 - Prob. 34CLRCh. 8 - Prob. 1MSCh. 8 - Prob. 2MSCh. 8 - Prob. 3MSCh. 8 - Prob. 4MSCh. 8 - Prob. 5MSCh. 8 - Prob. 6MSCh. 8 - Prob. 7MSCh. 8 - Prob. 8MSCh. 8 - Prob. 9MSCh. 8 - Prob. 10MSCh. 8 - Prob. 11MSCh. 8 - Prob. 12MSCh. 8 - Prob. 13MSCh. 8 - Prob. 14MSCh. 8 - Prob. 15MSCh. 8 - Prob. 16MSCh. 8 - Prob. 17MSCh. 8 - Prob. 18MSCh. 8 - Prob. 19MSCh. 8 - Prob. 20MSCh. 8 - Prob. 21MSCh. 8 - Prob. 22MSCh. 8 - Prob. 23MSCh. 8 - Prob. 24MSCh. 8 - Prob. 25MSCh. 8 - Prob. 26MSCh. 8 - Prob. 27MSCh. 8 - Prob. 28MSCh. 8 - Prob. 29MSCh. 8 - Prob. 30MSCh. 8 - Prob. 31MSCh. 8 - Prob. 32MSCh. 8 - Prob. 33MSCh. 8 - Prob. 34MSCh. 8 - Prob. 35MSCh. 8 - Prob. 36MSCh. 8 - Prob. 37MSCh. 8 - Prob. 38MSCh. 8 - Prob. 39MS

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