Glencoe Algebra 2 Student Edition C2014
Glencoe Algebra 2 Student Edition C2014
1st Edition
ISBN: 9780076639908
Author: McGraw-Hill Glencoe
Publisher: MCG
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Minimization
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Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
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In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Question
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Chapter 5, Problem 16STP

(a)

To determine

To find: The polynomial equation that is used to solved for the height of the prism.

(a)

Expert Solution
Check Mark

Answer to Problem 16STP

The equation for h is h3+2h2−3h−864=0 .

Explanation of Solution

Given:

  l=h−1.w=h+3.lwh=864.

Concept used:

Volume of the rectangular prism is:

  V=wlh .

Calculation:

Let’s take:

  w= the width.

  l= length.

  h= height.

According to the given:

  l=h−1.w=h+3.lwh=864.

The volume of the equation will be:

  lwh=864.h(h−1)(h+3)=864.h3+2h2−3h−864=0.

Hence, the equation for h is h3+2h2−3h−864=0 .

(b)

To determine

To find: The number of possible roots for the heights of the prism.

(b)

Expert Solution
Check Mark

Answer to Problem 16STP

The equation can provide at most 3 solutions.

Explanation of Solution

Given:

  l=h−1.w=h+3.lwh=864.

Concept used:

The highest degree of the polynomial shows the number of the roots.

Calculation:

The equation of height of the prism is:

  h3+2h2−3h−864=0 .

The highest degree or order of the equation is 3 ,therefore the equation has 3 solutions.

Which can be 3 real solutions or 1 real solution and two imaginary solutions.

Since, h must be a real positive number.

Hence, the equation can provide at most 3 solutions.

(c)

To determine

To find: the dimension of the prism from the equation.

(c)

Expert Solution
Check Mark

Answer to Problem 16STP

The length of the prism is 8cm ,width of the prism is 12cm and height of the prism is 9cm .

Explanation of Solution

Given:

  l=h−1.w=h+3.lwh=864.

Concept used:

To solve the ax2+bx+c=0 by completing the square:

  1. Transform the equation so that the constant term c,is alone on the right side.
  2. If a ,the leading coefficient of x2 term is not equal to 1 , divide both side by a .
  3. Add the square of half the coefficient of the x term, (b2a)2 to both sides of the equation.
  4. Factor the left side as the square of binomial.
  5. Take the square root on both sides and remember: (x+q)2=r Is equivalent to (x+q)=±r .

Calculation:

Let’s take:

  w= the width.

  l= length.

  h= height.

The equation of the height of the prism is:

  h3+2h2−3h−864=0.h(h−9)+11h(h−9)+96(h−9)=0.(h−9)(h2+11h+96)=0.

  h=9 and other equation is quadratic equation it can be solved through completing the square as:

  h2+11h+96=0.(h+112)2+2634=0.

Here this equation doesn’t contain any real roots therefore the value of h=9 .

Finding the dimension of the prism as:

  l=h−1=9−1=8.w=h+3=9+3=12.

Hence, length of the prism is 8cm ,width of the prism is 12cm and height of the prism is 9cm .

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Chapter 5, Problem 15STP
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Chapter 5, Problem 17STP

Chapter 5 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 5.1 - Prob. 1AGPCh. 5.1 - Prob. 1BGPCh. 5.1 - Prob. 1CGPCh. 5.1 - Prob. 1DGPCh. 5.1 - Prob. 2AGPCh. 5.1 - Prob. 2BGPCh. 5.1 - Prob. 3AGPCh. 5.1 - Prob. 3BGPCh. 5.1 - Prob. 4AGPCh. 5.1 - Prob. 4BGP
Ch. 5.1 - Prob. 5GPCh. 5.1 - Prob. 6AGPCh. 5.1 - Prob. 6BGPCh. 5.1 - Prob. 1CYUCh. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4CYUCh. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - Prob. 8CYUCh. 5.1 - Prob. 9CYUCh. 5.1 - Prob. 10CYUCh. 5.1 - Prob. 11CYUCh. 5.1 - Prob. 12CYUCh. 5.1 - Prob. 13CYUCh. 5.1 - Prob. 14CYUCh. 5.1 - Prob. 15CYUCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25PPSCh. 5.1 - Prob. 26PPSCh. 5.1 - Prob. 27PPSCh. 5.1 - Prob. 28PPSCh. 5.1 - Prob. 29PPSCh. 5.1 - Prob. 30PPSCh. 5.1 - Prob. 31PPSCh. 5.1 - Prob. 32PPSCh. 5.1 - Prob. 33PPSCh. 5.1 - Prob. 34PPSCh. 5.1 - Prob. 35PPSCh. 5.1 - Prob. 36PPSCh. 5.1 - Prob. 37PPSCh. 5.1 - Prob. 38PPSCh. 5.1 - Prob. 39PPSCh. 5.1 - Prob. 40PPSCh. 5.1 - Prob. 41PPSCh. 5.1 - Prob. 42PPSCh. 5.1 - Prob. 43PPSCh. 5.1 - Prob. 44PPSCh. 5.1 - Prob. 45PPSCh. 5.1 - Prob. 46PPSCh. 5.1 - Prob. 47PPSCh. 5.1 - Prob. 48PPSCh. 5.1 - Prob. 49PPSCh. 5.1 - Prob. 50PPSCh. 5.1 - Prob. 51PPSCh. 5.1 - Prob. 52PPSCh. 5.1 - Prob. 53PPSCh. 5.1 - Prob. 54PPSCh. 5.1 - Prob. 55PPSCh. 5.1 - Prob. 56PPSCh. 5.1 - Prob. 57PPSCh. 5.1 - Prob. 58PPSCh. 5.1 - Prob. 59PPSCh. 5.1 - Prob. 60PPSCh. 5.1 - Prob. 61PPSCh. 5.1 - Prob. 62PPSCh. 5.1 - Prob. 63PPSCh. 5.1 - Prob. 64PPSCh. 5.1 - Prob. 65HPCh. 5.1 - Prob. 66HPCh. 5.1 - Prob. 67HPCh. 5.1 - Prob. 68HPCh. 5.1 - Prob. 69HPCh. 5.1 - Prob. 70STPCh. 5.1 - Prob. 71STPCh. 5.1 - Prob. 72STPCh. 5.1 - Prob. 73STPCh. 5.1 - Prob. 74SRCh. 5.1 - Prob. 75SRCh. 5.1 - Prob. 76SRCh. 5.1 - Prob. 77SRCh. 5.1 - Prob. 78SRCh. 5.1 - Prob. 79SRCh. 5.1 - Prob. 80SRCh. 5.1 - Prob. 81SRCh. 5.1 - Prob. 82SRCh. 5.1 - Prob. 83SRCh. 5.1 - Prob. 84SRCh. 5.1 - Prob. 85SRCh. 5.1 - Prob. 86SRCh. 5.1 - Prob. 87SRCh. 5.1 - Prob. 88SRCh. 5.1 - Prob. 89SRCh. 5.1 - Prob. 90SRCh. 5.1 - Prob. 91SCh. 5.1 - Prob. 92SCh. 5.1 - Prob. 93SCh. 5.1 - Prob. 94SCh. 5.1 - Prob. 95SCh. 5.1 - Prob. 96SCh. 5.1 - Prob. 1ECh. 5.1 - Prob. 2ECh. 5.1 - Prob. 3ECh. 5.1 - Prob. 4ECh. 5.1 - Prob. 5ECh. 5.2 - Prob. 1AGPCh. 5.2 - Prob. 1BGPCh. 5.2 - Prob. 2AGPCh. 5.2 - Prob. 2BGPCh. 5.2 - Prob. 3GPCh. 5.2 - Prob. 4AGPCh. 5.2 - Prob. 4BGPCh. 5.2 - Prob. 4CGPCh. 5.2 - Prob. 4DGPCh. 5.2 - Prob. 5AGPCh. 5.2 - Prob. 5BGPCh. 5.2 - Prob. 5CGPCh. 5.2 - Prob. 5DGPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5CYUCh. 5.2 - Prob. 6CYUCh. 5.2 - Prob. 7CYUCh. 5.2 - Prob. 8CYUCh. 5.2 - Prob. 9CYUCh. 5.2 - Prob. 10CYUCh. 5.2 - Prob. 11CYUCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30PPSCh. 5.2 - Prob. 31PPSCh. 5.2 - Prob. 32PPSCh. 5.2 - Prob. 33PPSCh. 5.2 - Prob. 34PPSCh. 5.2 - Prob. 35PPSCh. 5.2 - Prob. 36PPSCh. 5.2 - Prob. 37PPSCh. 5.2 - Prob. 38PPSCh. 5.2 - Prob. 39PPSCh. 5.2 - Prob. 40PPSCh. 5.2 - Prob. 41PPSCh. 5.2 - Prob. 42PPSCh. 5.2 - Prob. 43HPCh. 5.2 - Prob. 44HPCh. 5.2 - Prob. 45HPCh. 5.2 - Prob. 46HPCh. 5.2 - Prob. 47HPCh. 5.2 - Prob. 48HPCh. 5.2 - Prob. 49STPCh. 5.2 - Prob. 50STPCh. 5.2 - Prob. 51STPCh. 5.2 - Prob. 52STPCh. 5.2 - Prob. 53SRCh. 5.2 - Prob. 54SRCh. 5.2 - Prob. 55SRCh. 5.2 - Prob. 56SRCh. 5.2 - Prob. 57SRCh. 5.2 - Prob. 58SRCh. 5.2 - Prob. 59SRCh. 5.2 - Prob. 60SRCh. 5.2 - Prob. 61SRCh. 5.2 - Prob. 62SRCh. 5.2 - Prob. 63SRCh. 5.2 - Prob. 64SRCh. 5.2 - Prob. 65SRCh. 5.2 - Prob. 66SRCh. 5.2 - Prob. 67SCh. 5.2 - Prob. 68SCh. 5.2 - Prob. 69SCh. 5.2 - Prob. 70SCh. 5.2 - Prob. 71SCh. 5.2 - Prob. 72SCh. 5.2 - Prob. 1ECh. 5.2 - Prob. 2ECh. 5.2 - Prob. 3ECh. 5.2 - Prob. 4ECh. 5.2 - Prob. 5ECh. 5.2 - Prob. 6ECh. 5.2 - Prob. 7ECh. 5.3 - Prob. 1AGPCh. 5.3 - Prob. 1BGPCh. 5.3 - Prob. 1CGPCh. 5.3 - Prob. 2GPCh. 5.3 - Prob. 3AGPCh. 5.3 - Prob. 3BGPCh. 5.3 - Prob. 4AGPCh. 5.3 - Prob. 4BGPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8CYUCh. 5.3 - Prob. 9CYUCh. 5.3 - Prob. 10CYUCh. 5.3 - Prob. 11CYUCh. 5.3 - Prob. 12CYUCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 38PPSCh. 5.3 - Prob. 39PPSCh. 5.3 - Prob. 40PPSCh. 5.3 - Prob. 41PPSCh. 5.3 - Prob. 42PPSCh. 5.3 - Prob. 43PPSCh. 5.3 - Prob. 44PPSCh. 5.3 - Prob. 45PPSCh. 5.3 - Prob. 46PPSCh. 5.3 - Prob. 47PPSCh. 5.3 - Prob. 48PPSCh. 5.3 - Prob. 49PPSCh. 5.3 - Prob. 50PPSCh. 5.3 - Prob. 51PPSCh. 5.3 - Prob. 52PPSCh. 5.3 - Prob. 53PPSCh. 5.3 - Prob. 54PPSCh. 5.3 - Prob. 55PPSCh. 5.3 - Prob. 56PPSCh. 5.3 - Prob. 57PPSCh. 5.3 - Prob. 58PPSCh. 5.3 - Prob. 59PPSCh. 5.3 - Prob. 60PPSCh. 5.3 - Prob. 61PPSCh. 5.3 - Prob. 62PPSCh. 5.3 - Prob. 63HPCh. 5.3 - Prob. 64HPCh. 5.3 - Prob. 65HPCh. 5.3 - Prob. 66HPCh. 5.3 - Prob. 67HPCh. 5.3 - Prob. 68HPCh. 5.3 - Prob. 69STPCh. 5.3 - Prob. 70STPCh. 5.3 - Prob. 71STPCh. 5.3 - Prob. 72STPCh. 5.3 - Prob. 73SRCh. 5.3 - Prob. 74SRCh. 5.3 - Prob. 75SRCh. 5.3 - Prob. 76SRCh. 5.3 - Prob. 77SRCh. 5.3 - Prob. 78SRCh. 5.3 - Prob. 79SRCh. 5.3 - Prob. 80SRCh. 5.3 - Prob. 81SRCh. 5.3 - Prob. 82SRCh. 5.3 - Prob. 83SCh. 5.3 - Prob. 84SCh. 5.3 - Prob. 85SCh. 5.4 - Prob. 1GPCh. 5.4 - Prob. 2GPCh. 5.4 - Prob. 3GPCh. 5.4 - Prob. 4GPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6CYUCh. 5.4 - Prob. 7CYUCh. 5.4 - Prob. 8CYUCh. 5.4 - Prob. 9CYUCh. 5.4 - Prob. 10CYUCh. 5.4 - Prob. 11CYUCh. 5.4 - Prob. 12CYUCh. 5.4 - Prob. 13CYUCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39PPSCh. 5.4 - Prob. 40PPSCh. 5.4 - Prob. 41PPSCh. 5.4 - Prob. 42PPSCh. 5.4 - Prob. 43PPSCh. 5.4 - Prob. 44PPSCh. 5.4 - Prob. 45PPSCh. 5.4 - Prob. 46PPSCh. 5.4 - Prob. 47HPCh. 5.4 - Prob. 48HPCh. 5.4 - Prob. 49HPCh. 5.4 - Prob. 50HPCh. 5.4 - Prob. 51HPCh. 5.4 - Prob. 52HPCh. 5.4 - Prob. 53HPCh. 5.4 - Prob. 54STPCh. 5.4 - Prob. 55STPCh. 5.4 - Prob. 56STPCh. 5.4 - Prob. 57STPCh. 5.4 - Prob. 58SRCh. 5.4 - Prob. 59SRCh. 5.4 - Prob. 60SRCh. 5.4 - Prob. 61SRCh. 5.4 - Prob. 62SRCh. 5.4 - Prob. 63SRCh. 5.4 - Prob. 64SRCh. 5.4 - Prob. 65SCh. 5.4 - Prob. 66SCh. 5.4 - Prob. 67SCh. 5.4 - Prob. 68SCh. 5.4 - Prob. 69SCh. 5.4 - Prob. 70SCh. 5.4 - Prob. 1ECh. 5.4 - Prob. 2ECh. 5.4 - Prob. 3ECh. 5.4 - Prob. 4ECh. 5.4 - Prob. 5ECh. 5.4 - Prob. 6ECh. 5.4 - Prob. 7ECh. 5.4 - Prob. 8ECh. 5.4 - Prob. 9ECh. 5.4 - Prob. 10ECh. 5.4 - Prob. 11ECh. 5.4 - Prob. 12ECh. 5.4 - Prob. 13ECh. 5.4 - Prob. 1MCQCh. 5.4 - Prob. 2MCQCh. 5.4 - Prob. 3MCQCh. 5.4 - Prob. 4MCQCh. 5.4 - Prob. 5MCQCh. 5.4 - Prob. 6MCQCh. 5.4 - Prob. 7MCQCh. 5.4 - Prob. 8MCQCh. 5.4 - Prob. 9MCQCh. 5.4 - Prob. 10MCQCh. 5.4 - Prob. 11MCQCh. 5.4 - Prob. 12MCQCh. 5.4 - Prob. 13MCQCh. 5.4 - Prob. 14MCQCh. 5.4 - Prob. 15MCQCh. 5.4 - Prob. 16MCQCh. 5.4 - Prob. 17MCQCh. 5.4 - Prob. 18MCQCh. 5.4 - Prob. 19MCQCh. 5.4 - Prob. 20MCQCh. 5.4 - Prob. 21MCQCh. 5.5 - Prob. 1ECh. 5.5 - Prob. 2ECh. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - Prob. 5ECh. 5.5 - Prob. 6ECh. 5.5 - Prob. 7ECh. 5.5 - Prob. 8ECh. 5.5 - Prob. 9ECh. 5.5 - Prob. 1AGPCh. 5.5 - Prob. 1BGPCh. 5.5 - Prob. 2AGPCh. 5.5 - Prob. 2BGPCh. 5.5 - Prob. 3AGPCh. 5.5 - Prob. 3BGPCh. 5.5 - Prob. 4GPCh. 5.5 - Prob. 5AGPCh. 5.5 - Prob. 5BGPCh. 5.5 - Prob. 6AGPCh. 5.5 - Prob. 6BGPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6CYUCh. 5.5 - Prob. 7CYUCh. 5.5 - Prob. 8CYUCh. 5.5 - Prob. 9CYUCh. 5.5 - Prob. 10CYUCh. 5.5 - Prob. 11CYUCh. 5.5 - Prob. 12CYUCh. 5.5 - Prob. 13CYUCh. 5.5 - Prob. 14CYUCh. 5.5 - Prob. 15CYUCh. 5.5 - Prob. 16CYUCh. 5.5 - Prob. 17CYUCh. 5.5 - Prob. 18CYUCh. 5.5 - Prob. 19CYUCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - 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Prob. 80HPCh. 5.5 - Prob. 81HPCh. 5.5 - Prob. 82HPCh. 5.5 - Prob. 83HPCh. 5.5 - Prob. 84STPCh. 5.5 - Prob. 85STPCh. 5.5 - Prob. 86STPCh. 5.5 - Prob. 87STPCh. 5.5 - Prob. 88SRCh. 5.5 - Prob. 89SRCh. 5.5 - Prob. 90SRCh. 5.5 - Prob. 91SRCh. 5.5 - Prob. 92SRCh. 5.5 - Prob. 93SRCh. 5.5 - Prob. 94SRCh. 5.5 - Prob. 95SRCh. 5.5 - Prob. 96SRCh. 5.5 - Prob. 97SCh. 5.5 - Prob. 98SCh. 5.5 - Prob. 99SCh. 5.6 - Prob. 1AGPCh. 5.6 - Prob. 1BGPCh. 5.6 - Prob. 2GPCh. 5.6 - Prob. 3GPCh. 5.6 - Prob. 1CYUCh. 5.6 - Prob. 2CYUCh. 5.6 - Prob. 3CYUCh. 5.6 - Prob. 4CYUCh. 5.6 - Prob. 5CYUCh. 5.6 - Prob. 6CYUCh. 5.6 - Prob. 7CYUCh. 5.6 - Prob. 8PPSCh. 5.6 - Prob. 9PPSCh. 5.6 - Prob. 10PPSCh. 5.6 - Prob. 11PPSCh. 5.6 - Prob. 12PPSCh. 5.6 - Prob. 13PPSCh. 5.6 - Prob. 14PPSCh. 5.6 - Prob. 15PPSCh. 5.6 - Prob. 16PPSCh. 5.6 - Prob. 17PPSCh. 5.6 - Prob. 18PPSCh. 5.6 - Prob. 19PPSCh. 5.6 - Prob. 20PPSCh. 5.6 - Prob. 21PPSCh. 5.6 - Prob. 22PPSCh. 5.6 - Prob. 23PPSCh. 5.6 - Prob. 24PPSCh. 5.6 - Prob. 25PPSCh. 5.6 - Prob. 26PPSCh. 5.6 - Prob. 27PPSCh. 5.6 - Prob. 28PPSCh. 5.6 - Prob. 29PPSCh. 5.6 - Prob. 30PPSCh. 5.6 - Prob. 31PPSCh. 5.6 - Prob. 32PPSCh. 5.6 - Prob. 33PPSCh. 5.6 - Prob. 34PPSCh. 5.6 - Prob. 35PPSCh. 5.6 - Prob. 36HPCh. 5.6 - Prob. 37HPCh. 5.6 - Prob. 38HPCh. 5.6 - Prob. 39HPCh. 5.6 - Prob. 40HPCh. 5.6 - Prob. 41HPCh. 5.6 - Prob. 42HPCh. 5.6 - Prob. 43HPCh. 5.6 - Prob. 44STPCh. 5.6 - Prob. 45STPCh. 5.6 - Prob. 46STPCh. 5.6 - Prob. 47STPCh. 5.6 - Prob. 48SRCh. 5.6 - Prob. 49SRCh. 5.6 - Prob. 50SRCh. 5.6 - Prob. 51SRCh. 5.6 - Prob. 52SRCh. 5.6 - Prob. 53SRCh. 5.6 - Prob. 54SRCh. 5.6 - Prob. 55SRCh. 5.6 - Prob. 56SRCh. 5.6 - Prob. 57SRCh. 5.6 - Prob. 58SCh. 5.6 - Prob. 59SCh. 5.6 - Prob. 60SCh. 5.6 - Prob. 61SCh. 5.6 - Prob. 62SCh. 5.6 - Prob. 63SCh. 5.7 - Prob. 1AGPCh. 5.7 - Prob. 1BGPCh. 5.7 - Prob. 1CGPCh. 5.7 - Prob. 1DGPCh. 5.7 - Prob. 2GPCh. 5.7 - Prob. 3GPCh. 5.7 - Prob. 4GPCh. 5.7 - Prob. 1CYUCh. 5.7 - Prob. 2CYUCh. 5.7 - Prob. 3CYUCh. 5.7 - Prob. 4CYUCh. 5.7 - Prob. 5CYUCh. 5.7 - Prob. 6CYUCh. 5.7 - Prob. 7CYUCh. 5.7 - Prob. 8CYUCh. 5.7 - Prob. 9CYUCh. 5.7 - Prob. 10CYUCh. 5.7 - Prob. 11CYUCh. 5.7 - Prob. 12CYUCh. 5.7 - Prob. 13CYUCh. 5.7 - Prob. 14CYUCh. 5.7 - Prob. 15CYUCh. 5.7 - Prob. 16CYUCh. 5.7 - Prob. 17PPSCh. 5.7 - Prob. 18PPSCh. 5.7 - Prob. 19PPSCh. 5.7 - Prob. 20PPSCh. 5.7 - Prob. 21PPSCh. 5.7 - Prob. 22PPSCh. 5.7 - Prob. 23PPSCh. 5.7 - Prob. 24PPSCh. 5.7 - Prob. 25PPSCh. 5.7 - Prob. 26PPSCh. 5.7 - Prob. 27PPSCh. 5.7 - Prob. 28PPSCh. 5.7 - Prob. 29PPSCh. 5.7 - Prob. 30PPSCh. 5.7 - Prob. 31PPSCh. 5.7 - Prob. 32PPSCh. 5.7 - Prob. 33PPSCh. 5.7 - Prob. 34PPSCh. 5.7 - Prob. 35PPSCh. 5.7 - Prob. 36PPSCh. 5.7 - Prob. 37PPSCh. 5.7 - Prob. 38PPSCh. 5.7 - Prob. 39PPSCh. 5.7 - Prob. 40PPSCh. 5.7 - Prob. 41PPSCh. 5.7 - Prob. 42PPSCh. 5.7 - Prob. 43PPSCh. 5.7 - Prob. 44PPSCh. 5.7 - Prob. 45PPSCh. 5.7 - Prob. 46PPSCh. 5.7 - Prob. 47PPSCh. 5.7 - Prob. 48PPSCh. 5.7 - Prob. 49PPSCh. 5.7 - Prob. 50PPSCh. 5.7 - Prob. 51PPSCh. 5.7 - Prob. 52PPSCh. 5.7 - Prob. 53PPSCh. 5.7 - Prob. 54PPSCh. 5.7 - Prob. 55PPSCh. 5.7 - Prob. 56HPCh. 5.7 - Prob. 57HPCh. 5.7 - Prob. 58HPCh. 5.7 - Prob. 59HPCh. 5.7 - Prob. 60HPCh. 5.7 - Prob. 61STPCh. 5.7 - Prob. 62STPCh. 5.7 - Prob. 63STPCh. 5.7 - Prob. 64STPCh. 5.7 - Prob. 65SRCh. 5.7 - Prob. 66SRCh. 5.7 - Prob. 67SRCh. 5.7 - Prob. 68SRCh. 5.7 - Prob. 69SRCh. 5.7 - Prob. 70SRCh. 5.7 - Prob. 71SRCh. 5.7 - Prob. 72SRCh. 5.7 - Prob. 73SRCh. 5.7 - Prob. 74SCh. 5.7 - Prob. 75SCh. 5.7 - Prob. 76SCh. 5.7 - Prob. 1ECh. 5.7 - Prob. 2ECh. 5.7 - Prob. 3ECh. 5.7 - Prob. 4ECh. 5.7 - Prob. 5ECh. 5.7 - Prob. 6ECh. 5.7 - Prob. 7ECh. 5.7 - Prob. 8ECh. 5.8 - Prob. 1AGPCh. 5.8 - Prob. 1BGPCh. 5.8 - Prob. 2GPCh. 5.8 - Prob. 3AGPCh. 5.8 - Prob. 3BGPCh. 5.8 - Prob. 1CYUCh. 5.8 - Prob. 2CYUCh. 5.8 - Prob. 3CYUCh. 5.8 - Prob. 4CYUCh. 5.8 - Prob. 5CYUCh. 5.8 - Prob. 6CYUCh. 5.8 - Prob. 7CYUCh. 5.8 - Prob. 8CYUCh. 5.8 - Prob. 9CYUCh. 5.8 - Prob. 10PPSCh. 5.8 - Prob. 11PPSCh. 5.8 - Prob. 12PPSCh. 5.8 - Prob. 13PPSCh. 5.8 - Prob. 14PPSCh. 5.8 - Prob. 15PPSCh. 5.8 - Prob. 16PPSCh. 5.8 - Prob. 17PPSCh. 5.8 - Prob. 18PPSCh. 5.8 - Prob. 19PPSCh. 5.8 - Prob. 20PPSCh. 5.8 - Prob. 21PPSCh. 5.8 - Prob. 22PPSCh. 5.8 - Prob. 23PPSCh. 5.8 - Prob. 24PPSCh. 5.8 - Prob. 25PPSCh. 5.8 - Prob. 26PPSCh. 5.8 - Prob. 27PPSCh. 5.8 - Prob. 28PPSCh. 5.8 - Prob. 29PPSCh. 5.8 - Prob. 30PPSCh. 5.8 - Prob. 31PPSCh. 5.8 - Prob. 32PPSCh. 5.8 - Prob. 33PPSCh. 5.8 - Prob. 34PPSCh. 5.8 - Prob. 35PPSCh. 5.8 - Prob. 36PPSCh. 5.8 - Prob. 37PPSCh. 5.8 - Prob. 38PPSCh. 5.8 - Prob. 39PPSCh. 5.8 - Prob. 40PPSCh. 5.8 - Prob. 41PPSCh. 5.8 - Prob. 42PPSCh. 5.8 - Prob. 43PPSCh. 5.8 - Prob. 44PPSCh. 5.8 - Prob. 45PPSCh. 5.8 - Prob. 46HPCh. 5.8 - Prob. 47HPCh. 5.8 - Prob. 48HPCh. 5.8 - Prob. 49HPCh. 5.8 - Prob. 50HPCh. 5.8 - Prob. 51HPCh. 5.8 - Prob. 52STPCh. 5.8 - Prob. 53STPCh. 5.8 - Prob. 54STPCh. 5.8 - Prob. 55STPCh. 5.8 - Prob. 56SRCh. 5.8 - Prob. 57SRCh. 5.8 - Prob. 58SRCh. 5.8 - Prob. 59SRCh. 5.8 - Prob. 60SRCh. 5.8 - Prob. 61SRCh. 5.8 - Prob. 62SRCh. 5.8 - Prob. 63SRCh. 5.8 - Prob. 64SCh. 5.8 - Prob. 65SCh. 5.8 - Prob. 66SCh. 5.8 - Prob. 67SCh. 5.8 - Prob. 68SCh. 5.8 - Prob. 69SCh. 5 - Prob. 1QCCh. 5 - Prob. 2QCCh. 5 - Prob. 3QCCh. 5 - Prob. 4QCCh. 5 - Prob. 5QCCh. 5 - Prob. 6QCCh. 5 - Prob. 7QCCh. 5 - Prob. 8QCCh. 5 - Prob. 9QCCh. 5 - Prob. 10QCCh. 5 - Prob. 11QCCh. 5 - Prob. 12QCCh. 5 - Prob. 13QCCh. 5 - Prob. 14QCCh. 5 - Prob. 15QCCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 34SGRCh. 5 - Prob. 35SGRCh. 5 - Prob. 36SGRCh. 5 - Prob. 37SGRCh. 5 - Prob. 38SGRCh. 5 - Prob. 39SGRCh. 5 - Prob. 40SGRCh. 5 - Prob. 41SGRCh. 5 - Prob. 42SGRCh. 5 - Prob. 43SGRCh. 5 - Prob. 44SGRCh. 5 - Prob. 45SGRCh. 5 - Prob. 46SGRCh. 5 - Prob. 47SGRCh. 5 - Prob. 48SGRCh. 5 - Prob. 49SGRCh. 5 - Prob. 50SGRCh. 5 - Prob. 51SGRCh. 5 - Prob. 52SGRCh. 5 - Prob. 53SGRCh. 5 - Prob. 54SGRCh. 5 - Prob. 55SGRCh. 5 - Prob. 56SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 1STPCh. 5 - Prob. 2STPCh. 5 - Prob. 3STPCh. 5 - Prob. 4STPCh. 5 - Prob. 5STPCh. 5 - Prob. 6STPCh. 5 - Prob. 7STPCh. 5 - Prob. 8STPCh. 5 - Prob. 9STPCh. 5 - Prob. 10STPCh. 5 - Prob. 11STPCh. 5 - Prob. 12STPCh. 5 - Prob. 13STPCh. 5 - Prob. 14STPCh. 5 - Prob. 15STPCh. 5 - Prob. 16STPCh. 5 - Prob. 17STP

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