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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Concept explainers

Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the se…
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integratio…
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects th…
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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Chapter 2.1, Problem 34PPS

a.

To determine

Graph each function on separate screen.

a.

Expert Solution
Check Mark

Answer to Problem 34PPS

  f(x)=x2 

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 1

  g(x)=2x

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 2

  h(x)=x3−3x2−5x+6

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 3

  j(x)=x3

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 4

Explanation of Solution

Given information:

  f(x)=x2       g(x)=2x          h(x)=x3−3x2−5x+6      j(x)=x3

Calculation:

Consider the given one by one,

Use TI−83 calculator to graph the function, f(x)=x2 

Step 1. Press Y= and put the function on Y1

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 5

Step2.Press GRAPH and TRACE button,

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 6

Use TI−83 calculator to graph the function, g(x)=2x

Step 1. Press Y= and put the function on Y1

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 7

Step 2. Press GRAPH and TRACE button,

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 8

Use TI−83 calculator to graph the function, h(x)=x3−3x2−5x+6

Step 1. Press Y= and put the function on Y1

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 9

Step 2. Press GRAPH and TRACE button,

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 10

Use TI−83 calculator to graph the function, j(x)=x3

Step 1. Press Y= and put the function on Y1

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 11

Step 2. Press GRAPH and TRACE button,

  Glencoe Algebra 2 Student Edition C2014, Chapter 2.1, Problem 34PPS , additional homework tip 12

.

b.

To determine

Tabulate the graph of each function to show intersection point on horizontal line.

b.

Expert Solution
Check Mark

Answer to Problem 34PPS

  FunctionPossible  intersection  pointsf(x)=x20,1,2g(x)=2x0,1h(x)=x3−3x2−5x+61,2,3j(x)=x31

Explanation of Solution

Given information:

Graphs shown in part (a)

Calculation:

Consider the graphs of part (a) ,

  FunctionPossible  intersection  pointsf(x)=x20,1,2g(x)=2x0,1h(x)=x3−3x2−5x+61,2,3j(x)=x31

c.

To determine

Identify the function for given condition.

c.

Expert Solution
Check Mark

Answer to Problem 34PPS

  g(x) and j(x) are one-to −one function.

  f(x) and h(x) are not one-to −one function.

Explanation of Solution

Given information:

For a function to be one-to-one, a horizontal line can intersect the function at most once.

Calculation:

It is not easy to check the function of all graphs, introduce a pencil on all graph if it is parallel to the x−axis and then move the pencil up and down then check for the graph lines intersect with the pencil , if they intersect then graph is one-to-one.

  g(x) and j(x) meet the pencil line one time, therefore they are one-to −one,

  f(x) and h(x) functions are one-to −one.

Hence, g(x) and j(x) are one-to −one, f(x) and h(x) functions are one-to −one.

d.

To determine

Identify the function for given condition.

d.

Expert Solution
Check Mark

Answer to Problem 34PPS

  h(x) and j(x) are onto functions,

  f(x) and g(x) are not onto functions.

Explanation of Solution

Given information:

For a function to be onto, a horizontal line can intersect the function at least once.

Calculation:

A parallel line on the graph of h(x) and j(x) will cross over the graph lines more than one at a time therefore they are onto functions, f(x) and g(x) does not intersect the graph lines. They are not onto functions.

e.

To determine

Create the table of given functions.

e.

Expert Solution
Check Mark

Answer to Problem 34PPS

  Functionsone−to−oneOntof(x)=x2NoNog(x)=2x YesNoh(x)=x3−3x2−5x+6  NoYesj(x)=x3YesYes

Explanation of Solution

Given information:

One-to one function and onto function.

Calculation:

  Functionsone−to−oneOntof(x)=x2NoNog(x)=2x YesNoh(x)=x3−3x2−5x+6  NoYesj(x)=x3YesYes

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Chapter 2.1, Problem 33PPS
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Chapter 2.1, Problem 35HP

Chapter 2 Solutions

Glencoe Algebra 2 Student Edition C2014

Ch. 2.1 - Prob. 1AGPCh. 2.1 - Prob. 1BGPCh. 2.1 - Prob. 2GPCh. 2.1 - Prob. 3GPCh. 2.1 - Prob. 4AGPCh. 2.1 - Prob. 4BGPCh. 2.1 - Prob. 1CYUCh. 2.1 - Prob. 2CYUCh. 2.1 - Prob. 3CYUCh. 2.1 - Prob. 4CYU
Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41STPCh. 2.1 - Prob. 42STPCh. 2.1 - Prob. 43STPCh. 2.1 - Prob. 44STPCh. 2.1 - Prob. 45SRCh. 2.1 - Prob. 46SRCh. 2.1 - Prob. 47SRCh. 2.1 - Prob. 48SRCh. 2.1 - Prob. 49SRCh. 2.1 - Prob. 50SRCh. 2.1 - Prob. 51SRCh. 2.1 - Prob. 52SRCh. 2.1 - Prob. 53SRCh. 2.1 - Prob. 54SRCh. 2.1 - Prob. 55SRCh. 2.1 - Prob. 56SCh. 2.1 - Prob. 57SCh. 2.1 - Prob. 58SCh. 2.1 - Prob. 59SCh. 2.1 - Prob. 60SCh. 2.1 - Prob. 61SCh. 2.1 - Prob. 62SCh. 2.1 - Prob. 63SCh. 2.1 - Prob. 64SCh. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.2 - Prob. 1AGPCh. 2.2 - Prob. 1BGPCh. 2.2 - Prob. 2AGPCh. 2.2 - Prob. 2BGPCh. 2.2 - Prob. 3AGPCh. 2.2 - Prob. 3BGPCh. 2.2 - Prob. 4GPCh. 2.2 - Prob. 1CYUCh. 2.2 - Prob. 2CYUCh. 2.2 - Prob. 3CYUCh. 2.2 - Prob. 4CYUCh. 2.2 - Prob. 5CYUCh. 2.2 - Prob. 6CYUCh. 2.2 - Prob. 7CYUCh. 2.2 - Prob. 8CYUCh. 2.2 - Prob. 9CYUCh. 2.2 - Prob. 10CYUCh. 2.2 - Prob. 11CYUCh. 2.2 - Prob. 12CYUCh. 2.2 - Prob. 13CYUCh. 2.2 - Prob. 14CYUCh. 2.2 - Prob. 15CYUCh. 2.2 - Prob. 16PPSCh. 2.2 - Prob. 17PPSCh. 2.2 - Prob. 18PPSCh. 2.2 - Prob. 19PPSCh. 2.2 - Prob. 20PPSCh. 2.2 - Prob. 21PPSCh. 2.2 - Prob. 22PPSCh. 2.2 - Prob. 23PPSCh. 2.2 - Prob. 24PPSCh. 2.2 - Prob. 25PPSCh. 2.2 - Prob. 26PPSCh. 2.2 - Prob. 27PPSCh. 2.2 - Prob. 28PPSCh. 2.2 - Prob. 29PPSCh. 2.2 - Prob. 30PPSCh. 2.2 - Prob. 31PPSCh. 2.2 - Prob. 32PPSCh. 2.2 - Prob. 33PPSCh. 2.2 - Prob. 34PPSCh. 2.2 - Prob. 35PPSCh. 2.2 - Prob. 36PPSCh. 2.2 - Prob. 37PPSCh. 2.2 - Prob. 38PPSCh. 2.2 - Prob. 39PPSCh. 2.2 - Prob. 40PPSCh. 2.2 - Prob. 41PPSCh. 2.2 - Prob. 42PPSCh. 2.2 - Prob. 43PPSCh. 2.2 - Prob. 44PPSCh. 2.2 - Prob. 45PPSCh. 2.2 - Prob. 46PPSCh. 2.2 - Prob. 47PPSCh. 2.2 - Prob. 48PPSCh. 2.2 - Prob. 49PPSCh. 2.2 - Prob. 50PPSCh. 2.2 - Prob. 51PPSCh. 2.2 - Prob. 52HPCh. 2.2 - Prob. 53HPCh. 2.2 - Prob. 54HPCh. 2.2 - Prob. 55HPCh. 2.2 - Prob. 56HPCh. 2.2 - Prob. 57STPCh. 2.2 - Prob. 58STPCh. 2.2 - Prob. 59STPCh. 2.2 - Prob. 60STPCh. 2.2 - Prob. 61SRCh. 2.2 - Prob. 62SRCh. 2.2 - Prob. 63SRCh. 2.2 - Prob. 64SRCh. 2.2 - Prob. 65SRCh. 2.2 - Prob. 66SRCh. 2.2 - Prob. 67SRCh. 2.2 - Prob. 68SRCh. 2.2 - Prob. 69SCh. 2.2 - Prob. 70SCh. 2.2 - Prob. 71SCh. 2.2 - Prob. 72SCh. 2.2 - Prob. 73SCh. 2.2 - Prob. 74SCh. 2.2 - Prob. 75SCh. 2.2 - Prob. 76SCh. 2.2 - Prob. 1ECh. 2.2 - Prob. 2ECh. 2.2 - Prob. 3ECh. 2.2 - Prob. 4ECh. 2.2 - Prob. 5ECh. 2.2 - Prob. 6ECh. 2.3 - Prob. 1GPCh. 2.3 - Prob. 2GPCh. 2.3 - Prob. 3AGPCh. 2.3 - Prob. 3BGPCh. 2.3 - Prob. 4AGPCh. 2.3 - Prob. 4BGPCh. 2.3 - Prob. 1CYUCh. 2.3 - Prob. 2CYUCh. 2.3 - Prob. 3CYUCh. 2.3 - Prob. 4CYUCh. 2.3 - Prob. 5CYUCh. 2.3 - Prob. 6CYUCh. 2.3 - Prob. 7CYUCh. 2.3 - Prob. 8CYUCh. 2.3 - Prob. 9PPSCh. 2.3 - Prob. 10PPSCh. 2.3 - Prob. 11PPSCh. 2.3 - Prob. 12PPSCh. 2.3 - Prob. 13PPSCh. 2.3 - Prob. 14PPSCh. 2.3 - Prob. 15PPSCh. 2.3 - Prob. 16PPSCh. 2.3 - Prob. 17PPSCh. 2.3 - Prob. 18PPSCh. 2.3 - Prob. 19PPSCh. 2.3 - Prob. 20PPSCh. 2.3 - Prob. 21PPSCh. 2.3 - Prob. 22PPSCh. 2.3 - Prob. 23PPSCh. 2.3 - Prob. 24PPSCh. 2.3 - Prob. 25PPSCh. 2.3 - Prob. 26PPSCh. 2.3 - Prob. 27PPSCh. 2.3 - Prob. 28PPSCh. 2.3 - Prob. 29PPSCh. 2.3 - Prob. 30PPSCh. 2.3 - Prob. 31PPSCh. 2.3 - Prob. 32PPSCh. 2.3 - Prob. 33PPSCh. 2.3 - Prob. 34PPSCh. 2.3 - Prob. 35PPSCh. 2.3 - Prob. 36HPCh. 2.3 - Prob. 37HPCh. 2.3 - Prob. 38HPCh. 2.3 - Prob. 39HPCh. 2.3 - Prob. 40HPCh. 2.3 - Prob. 41STPCh. 2.3 - Prob. 42STPCh. 2.3 - Prob. 43STPCh. 2.3 - Prob. 44STPCh. 2.3 - Prob. 45SRCh. 2.3 - Prob. 46SRCh. 2.3 - Prob. 47SRCh. 2.3 - Prob. 48SRCh. 2.3 - Prob. 49SRCh. 2.3 - Prob. 50SRCh. 2.3 - Prob. 51SRCh. 2.3 - Prob. 52SRCh. 2.3 - Prob. 53SRCh. 2.3 - Prob. 54SRCh. 2.3 - Prob. 55SCh. 2.3 - Prob. 56SCh. 2.3 - Prob. 57SCh. 2.4 - Prob. 1AGPCh. 2.4 - Prob. 1BGPCh. 2.4 - Prob. 2AGPCh. 2.4 - Prob. 2BGPCh. 2.4 - Prob. 3GPCh. 2.4 - Prob. 4GPCh. 2.4 - Prob. 1CYUCh. 2.4 - Prob. 2CYUCh. 2.4 - Prob. 3CYUCh. 2.4 - Prob. 4CYUCh. 2.4 - Prob. 5CYUCh. 2.4 - Prob. 6CYUCh. 2.4 - Prob. 7CYUCh. 2.4 - Prob. 8PPSCh. 2.4 - Prob. 9PPSCh. 2.4 - Prob. 10PPSCh. 2.4 - Prob. 11PPSCh. 2.4 - Prob. 12PPSCh. 2.4 - Prob. 13PPSCh. 2.4 - Prob. 14PPSCh. 2.4 - Prob. 15PPSCh. 2.4 - Prob. 16PPSCh. 2.4 - Prob. 17PPSCh. 2.4 - Prob. 18PPSCh. 2.4 - Prob. 19PPSCh. 2.4 - Prob. 20PPSCh. 2.4 - Prob. 21PPSCh. 2.4 - Prob. 22PPSCh. 2.4 - Prob. 23PPSCh. 2.4 - Prob. 24PPSCh. 2.4 - Prob. 25PPSCh. 2.4 - Prob. 26PPSCh. 2.4 - Prob. 27PPSCh. 2.4 - Prob. 28PPSCh. 2.4 - Prob. 29PPSCh. 2.4 - Prob. 30PPSCh. 2.4 - Prob. 31PPSCh. 2.4 - Prob. 32PPSCh. 2.4 - Prob. 33PPSCh. 2.4 - Prob. 34PPSCh. 2.4 - Prob. 35PPSCh. 2.4 - Prob. 36PPSCh. 2.4 - Prob. 37HPCh. 2.4 - Prob. 38HPCh. 2.4 - Prob. 39HPCh. 2.4 - Prob. 40HPCh. 2.4 - Prob. 41HPCh. 2.4 - Prob. 42HPCh. 2.4 - Prob. 43STPCh. 2.4 - Prob. 44STPCh. 2.4 - Prob. 45STPCh. 2.4 - Prob. 46STPCh. 2.4 - Prob. 47SRCh. 2.4 - Prob. 48SRCh. 2.4 - Prob. 49SRCh. 2.4 - Prob. 50SRCh. 2.4 - Prob. 51SRCh. 2.4 - Prob. 52SRCh. 2.4 - Prob. 53SRCh. 2.4 - Prob. 54SRCh. 2.4 - Prob. 55SRCh. 2.4 - Prob. 56SRCh. 2.4 - Prob. 57SRCh. 2.4 - Prob. 58SRCh. 2.4 - Prob. 59SRCh. 2.4 - Prob. 60SCh. 2.4 - Prob. 61SCh. 2.4 - Prob. 62SCh. 2.4 - Prob. 63SCh. 2.4 - Prob. 64SCh. 2.4 - Prob. 65SCh. 2.4 - Prob. 1ECh. 2.4 - Prob. 2ECh. 2.5 - Prob. 1GPCh. 2.5 - Prob. 2GPCh. 2.5 - Prob. 1CYUCh. 2.5 - Prob. 2CYUCh. 2.5 - Prob. 3PPSCh. 2.5 - Prob. 4PPSCh. 2.5 - Prob. 5PPSCh. 2.5 - Prob. 6PPSCh. 2.5 - Prob. 7PPSCh. 2.5 - Prob. 8PPSCh. 2.5 - Prob. 9PPSCh. 2.5 - Prob. 10PPSCh. 2.5 - Prob. 11PPSCh. 2.5 - Prob. 12HPCh. 2.5 - Prob. 13HPCh. 2.5 - Prob. 14HPCh. 2.5 - Prob. 15HPCh. 2.5 - Prob. 16HPCh. 2.5 - Prob. 17STPCh. 2.5 - Prob. 18STPCh. 2.5 - Prob. 19STPCh. 2.5 - Prob. 20STPCh. 2.5 - Prob. 21SRCh. 2.5 - Prob. 22SRCh. 2.5 - Prob. 23SRCh. 2.5 - Prob. 24SRCh. 2.5 - Prob. 25SRCh. 2.5 - Prob. 26SRCh. 2.5 - Prob. 27SRCh. 2.5 - Prob. 28SRCh. 2.5 - Prob. 29SRCh. 2.5 - Prob. 30SCh. 2.5 - Prob. 31SCh. 2.5 - Prob. 32SCh. 2.5 - Prob. 1ECh. 2.5 - Prob. 2ECh. 2.5 - Prob. 3ECh. 2.5 - Prob. 4ECh. 2.5 - Prob. 5ECh. 2.5 - Prob. 6ECh. 2.5 - Prob. 7ECh. 2.5 - Prob. 8ECh. 2.5 - Prob. 9ECh. 2.5 - Prob. 10ECh. 2.5 - Prob. 11ECh. 2.6 - Prob. 1GPCh. 2.6 - Prob. 2AGPCh. 2.6 - Prob. 2BGPCh. 2.6 - Prob. 3GPCh. 2.6 - Prob. 4AGPCh. 2.6 - Prob. 4BGPCh. 2.6 - Prob. 1CYUCh. 2.6 - Prob. 2CYUCh. 2.6 - Prob. 3CYUCh. 2.6 - Prob. 4CYUCh. 2.6 - Prob. 5CYUCh. 2.6 - Prob. 6CYUCh. 2.6 - Prob. 7CYUCh. 2.6 - Prob. 8CYUCh. 2.6 - Prob. 9CYUCh. 2.6 - Prob. 10CYUCh. 2.6 - Prob. 11CYUCh. 2.6 - Prob. 12PPSCh. 2.6 - Prob. 13PPSCh. 2.6 - Prob. 14PPSCh. 2.6 - Prob. 15PPSCh. 2.6 - Prob. 16PPSCh. 2.6 - Prob. 17PPSCh. 2.6 - Prob. 18PPSCh. 2.6 - Prob. 19PPSCh. 2.6 - Prob. 20PPSCh. 2.6 - Prob. 21PPSCh. 2.6 - Prob. 22PPSCh. 2.6 - Prob. 23PPSCh. 2.6 - Prob. 24PPSCh. 2.6 - Prob. 25PPSCh. 2.6 - Prob. 26PPSCh. 2.6 - Prob. 27PPSCh. 2.6 - Prob. 28PPSCh. 2.6 - Prob. 29PPSCh. 2.6 - Prob. 30PPSCh. 2.6 - Prob. 31PPSCh. 2.6 - Prob. 32PPSCh. 2.6 - Prob. 33PPSCh. 2.6 - Prob. 34PPSCh. 2.6 - Prob. 35PPSCh. 2.6 - Prob. 36PPSCh. 2.6 - Prob. 37PPSCh. 2.6 - Prob. 38PPSCh. 2.6 - Prob. 39PPSCh. 2.6 - Prob. 40HPCh. 2.6 - Prob. 41HPCh. 2.6 - Prob. 42HPCh. 2.6 - Prob. 43HPCh. 2.6 - Prob. 44HPCh. 2.6 - Prob. 45STPCh. 2.6 - Prob. 46STPCh. 2.6 - Prob. 47STPCh. 2.6 - Prob. 48STPCh. 2.6 - Prob. 49SRCh. 2.6 - Prob. 50SRCh. 2.6 - Prob. 51SRCh. 2.6 - Prob. 52SRCh. 2.6 - Prob. 53SRCh. 2.6 - Prob. 54SRCh. 2.6 - Prob. 55SRCh. 2.6 - Prob. 56SRCh. 2.6 - Prob. 57SCh. 2.6 - Prob. 58SCh. 2.6 - Prob. 59SCh. 2.7 - Prob. 1AGPCh. 2.7 - Prob. 1BGPCh. 2.7 - Prob. 2AGPCh. 2.7 - Prob. 2BGPCh. 2.7 - Prob. 3AGPCh. 2.7 - Prob. 3BGPCh. 2.7 - Prob. 4AGPCh. 2.7 - Prob. 4BGPCh. 2.7 - Prob. 5GPCh. 2.7 - Prob. 1CYUCh. 2.7 - Prob. 2CYUCh. 2.7 - Prob. 3CYUCh. 2.7 - Prob. 4CYUCh. 2.7 - Prob. 5CYUCh. 2.7 - Prob. 6CYUCh. 2.7 - Prob. 7CYUCh. 2.7 - Prob. 8CYUCh. 2.7 - Prob. 9CYUCh. 2.7 - Prob. 10PPSCh. 2.7 - Prob. 11PPSCh. 2.7 - Prob. 12PPSCh. 2.7 - Prob. 13PPSCh. 2.7 - Prob. 14PPSCh. 2.7 - Prob. 15PPSCh. 2.7 - Prob. 16PPSCh. 2.7 - Prob. 17PPSCh. 2.7 - Prob. 18PPSCh. 2.7 - Prob. 19PPSCh. 2.7 - Prob. 20PPSCh. 2.7 - Prob. 21PPSCh. 2.7 - Prob. 22PPSCh. 2.7 - Prob. 23PPSCh. 2.7 - Prob. 24PPSCh. 2.7 - Prob. 25PPSCh. 2.7 - Prob. 26PPSCh. 2.7 - Prob. 27PPSCh. 2.7 - Prob. 28PPSCh. 2.7 - Prob. 29PPSCh. 2.7 - Prob. 30PPSCh. 2.7 - Prob. 31PPSCh. 2.7 - Prob. 32PPSCh. 2.7 - Prob. 33PPSCh. 2.7 - Prob. 34PPSCh. 2.7 - Prob. 35PPSCh. 2.7 - Prob. 36PPSCh. 2.7 - Prob. 37PPSCh. 2.7 - Prob. 38PPSCh. 2.7 - Prob. 39PPSCh. 2.7 - Prob. 40PPSCh. 2.7 - Prob. 41PPSCh. 2.7 - Prob. 42PPSCh. 2.7 - Prob. 43HPCh. 2.7 - Prob. 44HPCh. 2.7 - Prob. 45HPCh. 2.7 - Prob. 46HPCh. 2.7 - Prob. 47HPCh. 2.7 - Prob. 48STPCh. 2.7 - Prob. 49STPCh. 2.7 - Prob. 50STPCh. 2.7 - Prob. 51STPCh. 2.7 - Prob. 52SRCh. 2.7 - Prob. 53SRCh. 2.7 - Prob. 54SRCh. 2.7 - Prob. 55SRCh. 2.7 - Prob. 56SRCh. 2.7 - Prob. 57SRCh. 2.7 - Prob. 58SRCh. 2.7 - Prob. 59SRCh. 2.7 - Prob. 60SRCh. 2.7 - Prob. 61SRCh. 2.7 - Prob. 62SRCh. 2.7 - Prob. 63SCh. 2.7 - Prob. 64SCh. 2.7 - Prob. 65SCh. 2.8 - Prob. 1AGPCh. 2.8 - Prob. 1BGPCh. 2.8 - Prob. 2GPCh. 2.8 - Prob. 3AGPCh. 2.8 - Prob. 3BGPCh. 2.8 - Prob. 1CYUCh. 2.8 - Prob. 2CYUCh. 2.8 - Prob. 3CYUCh. 2.8 - Prob. 4CYUCh. 2.8 - Prob. 5CYUCh. 2.8 - Prob. 6CYUCh. 2.8 - Prob. 7CYUCh. 2.8 - Prob. 8PPSCh. 2.8 - Prob. 9PPSCh. 2.8 - Prob. 10PPSCh. 2.8 - Prob. 11PPSCh. 2.8 - Prob. 12PPSCh. 2.8 - Prob. 13PPSCh. 2.8 - Prob. 14PPSCh. 2.8 - Prob. 15PPSCh. 2.8 - Prob. 16PPSCh. 2.8 - Prob. 17PPSCh. 2.8 - Prob. 18PPSCh. 2.8 - Prob. 19PPSCh. 2.8 - Prob. 20PPSCh. 2.8 - Prob. 21PPSCh. 2.8 - Prob. 22PPSCh. 2.8 - Prob. 23PPSCh. 2.8 - Prob. 24PPSCh. 2.8 - Prob. 25PPSCh. 2.8 - Prob. 26PPSCh. 2.8 - Prob. 27PPSCh. 2.8 - Prob. 28PPSCh. 2.8 - Prob. 29PPSCh. 2.8 - Prob. 30PPSCh. 2.8 - Prob. 31PPSCh. 2.8 - Prob. 32PPSCh. 2.8 - Prob. 33HPCh. 2.8 - Prob. 34HPCh. 2.8 - Prob. 35HPCh. 2.8 - Prob. 36HPCh. 2.8 - Prob. 37HPCh. 2.8 - Prob. 38STPCh. 2.8 - Prob. 39STPCh. 2.8 - Prob. 40STPCh. 2.8 - Prob. 41STPCh. 2.8 - Prob. 42SRCh. 2.8 - Prob. 43SRCh. 2.8 - Prob. 44SRCh. 2.8 - Prob. 45SRCh. 2.8 - Prob. 46SRCh. 2.8 - Prob. 47SRCh. 2.8 - Prob. 48SRCh. 2.8 - Prob. 49SRCh. 2.8 - Prob. 50SRCh. 2.8 - Prob. 51SRCh. 2.8 - Prob. 52SRCh. 2.8 - Prob. 53SRCh. 2.8 - Prob. 54SRCh. 2.8 - Prob. 55SCh. 2.8 - Prob. 56SCh. 2.8 - Prob. 57SCh. 2 - Prob. 1QCCh. 2 - Prob. 2QCCh. 2 - Prob. 3QCCh. 2 - Prob. 4QCCh. 2 - Prob. 5QCCh. 2 - Prob. 6QCCh. 2 - Prob. 7QCCh. 2 - Prob. 8QCCh. 2 - Prob. 9QCCh. 2 - Prob. 10QCCh. 2 - Prob. 11QCCh. 2 - Prob. 12QCCh. 2 - Prob. 13QCCh. 2 - Prob. 14QCCh. 2 - Prob. 15QCCh. 2 - Prob. 16QCCh. 2 - Prob. 1MCQCh. 2 - Prob. 2MCQCh. 2 - Prob. 3MCQCh. 2 - Prob. 4MCQCh. 2 - Prob. 5MCQCh. 2 - Prob. 6MCQCh. 2 - Prob. 7MCQCh. 2 - Prob. 8MCQCh. 2 - Prob. 9MCQCh. 2 - Prob. 10MCQCh. 2 - Prob. 11MCQCh. 2 - Prob. 12MCQCh. 2 - Prob. 13MCQCh. 2 - Prob. 14MCQCh. 2 - Prob. 15MCQCh. 2 - Prob. 16MCQCh. 2 - Prob. 17MCQCh. 2 - Prob. 18MCQCh. 2 - Prob. 19MCQCh. 2 - Prob. 20MCQCh. 2 - Prob. 21MCQCh. 2 - Prob. 22MCQCh. 2 - Prob. 23MCQCh. 2 - Prob. 24MCQCh. 2 - Prob. 25MCQCh. 2 - Prob. 1SGRCh. 2 - Prob. 2SGRCh. 2 - Prob. 3SGRCh. 2 - Prob. 4SGRCh. 2 - Prob. 5SGRCh. 2 - Prob. 6SGRCh. 2 - Prob. 7SGRCh. 2 - Prob. 8SGRCh. 2 - Prob. 9SGRCh. 2 - Prob. 10SGRCh. 2 - Prob. 11SGRCh. 2 - Prob. 12SGRCh. 2 - Prob. 13SGRCh. 2 - Prob. 14SGRCh. 2 - Prob. 15SGRCh. 2 - Prob. 16SGRCh. 2 - Prob. 17SGRCh. 2 - Prob. 18SGRCh. 2 - Prob. 19SGRCh. 2 - Prob. 20SGRCh. 2 - Prob. 21SGRCh. 2 - Prob. 22SGRCh. 2 - Prob. 23SGRCh. 2 - Prob. 24SGRCh. 2 - Prob. 25SGRCh. 2 - Prob. 26SGRCh. 2 - Prob. 27SGRCh. 2 - Prob. 28SGRCh. 2 - Prob. 29SGRCh. 2 - Prob. 30SGRCh. 2 - Prob. 31SGRCh. 2 - Prob. 32SGRCh. 2 - Prob. 33SGRCh. 2 - Prob. 34SGRCh. 2 - Prob. 35SGRCh. 2 - Prob. 36SGRCh. 2 - Prob. 37SGRCh. 2 - Prob. 38SGRCh. 2 - Prob. 39SGRCh. 2 - Prob. 40SGRCh. 2 - Prob. 41SGRCh. 2 - Prob. 42SGRCh. 2 - Prob. 43SGRCh. 2 - Prob. 44SGRCh. 2 - Prob. 45SGRCh. 2 - Prob. 46SGRCh. 2 - Prob. 47SGRCh. 2 - Prob. 48SGRCh. 2 - Prob. 49SGRCh. 2 - Prob. 50SGRCh. 2 - Prob. 51SGRCh. 2 - Prob. 52SGRCh. 2 - Prob. 53SGRCh. 2 - Prob. 54SGRCh. 2 - Prob. 55SGRCh. 2 - Prob. 56SGRCh. 2 - Prob. 57SGRCh. 2 - Prob. 58SGRCh. 2 - Prob. 59SGRCh. 2 - Prob. 60SGRCh. 2 - Prob. 61SGRCh. 2 - Prob. 62SGRCh. 2 - Prob. 1PTCh. 2 - Prob. 2PTCh. 2 - Prob. 3PTCh. 2 - Prob. 4PTCh. 2 - Prob. 5PTCh. 2 - Prob. 6PTCh. 2 - Prob. 7PTCh. 2 - Prob. 8PTCh. 2 - Prob. 9PTCh. 2 - Prob. 10PTCh. 2 - Prob. 11PTCh. 2 - Prob. 12PTCh. 2 - Prob. 13PTCh. 2 - Prob. 14PTCh. 2 - Prob. 15PTCh. 2 - Prob. 16PTCh. 2 - Prob. 17PTCh. 2 - Prob. 18PTCh. 2 - Prob. 19PTCh. 2 - Prob. 20PTCh. 2 - Prob. 1ECh. 2 - Prob. 2ECh. 2 - Prob. 1STPCh. 2 - Prob. 2STPCh. 2 - Prob. 3STPCh. 2 - Prob. 4STPCh. 2 - Prob. 5STPCh. 2 - Prob. 6STPCh. 2 - Prob. 7STPCh. 2 - Prob. 8STPCh. 2 - Prob. 9STPCh. 2 - Prob. 10STPCh. 2 - Prob. 11STPCh. 2 - Prob. 12STP

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