Difference between revisions of "Different Models of Inflation"
Cherkaskiy (Talk | contribs) |
Cherkaskiy (Talk | contribs) (→Problem 1) |
||
Line 4: | Line 4: | ||
=== Problem 1 === | === Problem 1 === | ||
− | + | ||
− | + | Problem Text | |
− | + | ||
<div class="NavFrame collapsed"> | <div class="NavFrame collapsed"> | ||
<div class="NavHead">solution</div> | <div class="NavHead">solution</div> | ||
<div style="width:100%;" class="NavContent"> | <div style="width:100%;" class="NavContent"> | ||
− | <p style="text-align: left;"> | + | <p style="text-align: left;"> |
− | + | ||
− | + | Solution text | |
− | + | ||
− | + | </p> | |
− | + | </div> | |
− | + | </div> | |
− | + | ||
− | + | ||
− | - | + | <div id="inf2"></div> |
− | + | <div style="border: 1px solid #AAA; padding:5px;"></div> | |
− | + | ||
− | + | === Problem 2 === | |
− | + | ||
− | + | Problem Text | |
− | + | ||
− | + | <div class="NavFrame collapsed"> | |
− | + | <div class="NavHead">solution</div> | |
− | + | <div style="width:100%;" class="NavContent"> | |
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 3 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 4 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 5 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 6 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 7 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 8 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 9 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 10 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 11 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 12 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 13 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 14 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 15 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 16 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 17 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 18 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 19 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 20 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 21 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 22 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 23 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 24 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 25 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 26 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 27 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 28 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 29 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 30 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 31 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 32 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 33 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 34 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 35 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 36 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 37 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 38 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
+ | </div> | ||
+ | </div> | ||
+ | |||
+ | |||
+ | <div id="inf2"></div> | ||
+ | <div style="border: 1px solid #AAA; padding:5px;"></div> | ||
+ | |||
+ | === Problem 39 === | ||
+ | |||
+ | Problem Text | ||
+ | |||
+ | <div class="NavFrame collapsed"> | ||
+ | <div class="NavHead">solution</div> | ||
+ | <div style="width:100%;" class="NavContent"> | ||
+ | <p style="text-align: left;"> | ||
+ | |||
+ | Solution text | ||
+ | |||
+ | </p> | ||
</div> | </div> | ||
− | + | </div> | |
<div id="inf2"></div> | <div id="inf2"></div> | ||
− | <div style="border: 1px solid #AAA; padding:5px;"> | + | <div style="border: 1px solid #AAA; padding:5px;"></div> |
Revision as of 11:30, 27 August 2013
There is a number of inflationary models. All of them deal with potentials of scalar fields which realize the slow-roll regime during sufficiently long period of evolution, then the inflation terminates and Universe enters the hot stage. It is worth noting that the models considered below are among the simplest ones and they do not exhaust all the possibilities, however they give main idea about possible features of the evolution of inflaton and scale factor in the slow-roll regime.
Contents
- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 Problem 26
- 27 Problem 27
- 28 Problem 28
- 29 Problem 29
- 30 Problem 30
- 31 Problem 31
- 32 Problem 32
- 33 Problem 33
- 34 Problem 34
- 35 Problem 35
- 36 Problem 36
- 37 Problem 37
- 38 Problem 38
- 39 Problem 39
Problem 1
Problem Text
Solution text
Problem 2
Problem Text
Solution text
Problem 3
Problem Text
Solution text
Problem 4
Problem Text
Solution text
Problem 5
Problem Text
Solution text
Problem 6
Problem Text
Solution text
Problem 7
Problem Text
Solution text
Problem 8
Problem Text
Solution text
Problem 9
Problem Text
Solution text
Problem 10
Problem Text
Solution text
Problem 11
Problem Text
Solution text
Problem 12
Problem Text
Solution text
Problem 13
Problem Text
Solution text
Problem 14
Problem Text
Solution text
Problem 15
Problem Text
Solution text
Problem 16
Problem Text
Solution text
Problem 17
Problem Text
Solution text
Problem 18
Problem Text
Solution text
Problem 19
Problem Text
Solution text
Problem 20
Problem Text
Solution text
Problem 21
Problem Text
Solution text
Problem 22
Problem Text
Solution text
Problem 23
Problem Text
Solution text
Problem 24
Problem Text
Solution text
Problem 25
Problem Text
Solution text
Problem 26
Problem Text
Solution text
Problem 27
Problem Text
Solution text
Problem 28
Problem Text
Solution text
Problem 29
Problem Text
Solution text
Problem 30
Problem Text
Solution text
Problem 31
Problem Text
Solution text
Problem 32
Problem Text
Solution text
Problem 33
Problem Text
Solution text
Problem 34
Problem Text
Solution text
Problem 35
Problem Text
Solution text
Problem 36
Problem Text
Solution text
Problem 37
Problem Text
Solution text
Problem 38
Problem Text
Solution text
Problem 39
Problem Text
Solution text