## Optimization Problems Homework Mastermathmentor Answer

This is the webpage for Math 1A Fall 2013!

**General Info**

Office Hours: F 2-3 pm

Office: 1041 Evans (or 30 Wheeler)

e-mail: tabrizianpeyam@hotmail (I left out the .com for anti-spam purposes)

**Quick links**

Study Guides

Homeworks

Quizzes

Solution-Bank

Solved Problems

Handouts

Exam Resources

Schedule

**Announcements**

(12/17) Congratulations, you're DONE!!! Have a fantastic winterbreak!

(12/07) The Final Exam is on Tuesday, 12/17 from 8 am to 11 am in the RSF Fieldhouse.

** Review Session: ** MWF of RRR Week 1-2 pm in 30 Wheeler. Here are the problems I'm going to cover: Part I Part II Part III ( Answers ) ** Office Hours: ** MWF of RRR Week 2-3 pm either in 30 Wheeler or in 1041 Evans. ** Study Guide/List of definitions: ** You will find a study guide/list of definitions here ** Practice exams: ** You can find ** LOTS ** of practice exams here ** Quizzes: ** I would recommend reviewing all the quizzes, especially Quizzes 10 and 11, which you can find here

(10/17) Midterm 2 is on Thursday, 11/14 from 2 pm to 3:30 pm in 155 Dwinelle. It covers sections 3.4 - 4.9, excluding sections 3.11, 4.6 and 4.8

** Review Session: ** Tuesday, 11/12, from 5 to 7 pm in 78 Barrows . Here are the problems I'm going to cover: Review Problems and Answer Key ** Office Hours: ** Wednesday 11/13, 2-4 pm in 1041 Evans . You can find the other GSIs office hours here: Schedule ** Study Guide/List of definitions: ** You will find a study guide/list of definitions here ** Practice exams: ** You can find ** LOTS ** of practice exams here ** Quizzes: ** I would recommend reviewing Quizzes 5-9, which you can find here ** Pizza Party: ** Pizza party on Friday 11/15 from 1-2 pm at LaVal's!

(10/01) Due to a power outage in Dwinelle, Midterm 1 will be held on Thursday instead of Tuesday!

- On Wednesday, I will hold an office hour in 30 Wheeler from 1-2 pm instead of section

- No homework/quiz due on Friday

- Pizza party on Friday from 1-2 pm at LaVal's!

(09/26) Midterm 1 is on Thursday, 10/03 from 2 pm to 3:30 pm in 155 Dwinelle. It covers sections 1.1 - 3.3

** Review Session: ** Thursday, 09/26, from 5:30 to 7:30 pm in 155 Kroeber. Here are the problems I'm going to cover: Review Problems and Answer Key ** Office Hours: ** Friday, 09/27, 2-3 pm in 30 Wheeler, and Monday, 09/30, 2-4 pm in 30 Wheeler/1041 Evans. You can find the other GSIs office hours here: Schedule ** Study Guide/List of definitions: ** You can find a study guide/list of definitions here ** Practice exams: ** You can find ** LOTS ** of practice exams here ** Quizzes: ** I would recommend reviewing Quizzes 1-4, which you can find here

(09/11) From now on, my Friday office hours will be held from 2-3 pm in 30 Wheeler (the usual discussion section room)

(09/02) This website has been updated and is now fully functional. Enjoy! :)

(08/30) Welcome to Math 1A! Hope you'll have lots of fun!

** Study Guides **

Study Guide for Midterm 1 ( Old version )

Complete list of definitions for Midterm 1

Study Guide for Midterm 2 ( Old version )

Complete list of definitions for Midterm 2

Study Guide for the Final Exam ( Old version )

Complete list of definitions for the Final Exam (updated!)

** Homeworks **

** Note: ** 'OLD' refers to the old/6th edition of the textbook, so if you have the old edition of the textbook, make sure to hand in the OLD homework (e.g. 'OLD Homework 1').

But if you have the new/7th edition of the textbook, please hand in the regular edition of the homework (e.g. 'Homework 1')

Homeworks | Assignment | Answer Key | Assignment (old edition) | Answer Key (old edition) | Due Date |
---|---|---|---|---|---|

Homework 1 | Homework 1 | Homework 1 - Answer Key | OLD Homework 1 - Answer Key | Friday, September 6th | |

Homework 2 | Homework 2 | Homework 2 - Answer Key | OLD Homework 2 - Answer Key | Friday, September 13th | |

Homework 3 | Homework 3 | Homework 3 - Answer Key | (Extra problem) | OLD Homework 3 - Answer Key | Friday, September 20th |

Homework 4 | Homework 4 | Homework 4 - Answer Key | OLD Homework 4.2 | OLD Homework 4.1 - Answer Key OLD Homework 4.2 - Answer Key | Friday, September 27th |

Homework 5 | Homework 5 | Homework 5 - Answer Key | OLD Homework 5.2 | OLD Homework 5.1 - Answer Key OLD Homework 5.2 - Answer Key | Friday, October 11th |

Homework 6 | Homework 6 | Homework 6 - Answer Key | OLD Homework 6 - Answer Key | Friday, October 18th | |

Homework 7 | Homework 7 | Homework 7 - Answer Key | (Extra Problems) | OLD Homework 7 - Answer Key | Friday, October 25th |

Homework 8 | Homework 8 | Homework 8 - Answer Key | (Extra Problem) | OLD Homework 8 - Answer Key | Friday, November 1st |

Homework 9 | Homework 9 | Homework 9 - Answer Key | (Extra Problems) | OLD Homework 9 - Answer Key | Friday, November 8th |

Homework 10 | Homework 10 | Homework 10 - Answer Key | OLD Homework 10.2 | OLD Homework 10.1 - Answer Key OLD Homework 10.2 - Answer Key | Friday, November 22nd |

Homework 11 | Homework 11 | Homework 11 - Answer Key | (Extra Problems) | OLD Homework 11 - Answer Key | Monday, December 2nd |

Homework 12 | Homework 12 | Homework 12 - Answer Key | OLD Homework 12 - Answer Key | Wednesday, December 11th |

** Quizzes **

Quizzes | Quiz | Solutions | Date |
---|---|---|---|

Quiz 1 | Quiz 1 | Solutions | Friday, September 6th |

Quiz 2 | Quiz 2 | Solutions | Friday, September 13th |

Quiz 3 | Quiz 3 | Solutions | Friday, September 20th |

Quiz 4 | Quiz 4 | Solutions | Friday, September 27th |

Quiz 5 | Quiz 5 | Solutions | Friday, October 11th |

Quiz 6 | Quiz 6 | Solutions | Friday, October 18th |

Quiz 7 | Quiz 7 | Solutions | Friday, October 25th |

Quiz 8 | Quiz 8 | Solutions | Friday, November 1st |

Quiz 9 | Quiz 9 | Solutions | Friday, November 8th |

Quiz 10 | Quiz 10 | Solutions | Friday, November 22nd |

Quiz 11 | Quiz 11 | Solutions | Friday, December 6th |

** Solution Bank **

The following files contain solutions/answer keys/hints to a LOT of problems in the book which I've compiled over the last semesters teaching 1A.

Solution bank (new edition of the textbook)

OLD Solution bank (old edition of the textbook)

** Worked-out solutions to a couple of problems **

** Note: ** The number in parentheses refers to the problem in the old edition. If there are no parentheses, then it's the same problem for both editions.

For example, the problem in the first file is 3.3.55 for the new edition, and 3.3.51 for the old edition. And for example, the problem in the 5th file is 3.8.11 in both editions.

The title in each file refers to the problem in the old edition, but it's the same solution for the new edition.

Solution to 3.3.55 (3.3.51)

Solution to 3.5.44 (3.5.40)

Solution to 3.5.44, 3.5.45, 3.5.46 (3.5.40, 3.5.41, 3.5.42)

Solution to 3.5.80 (3.5.69)

Solution to 3.7.26 (3.7.24)

Solution to 3.8.11

Solution to 3.9.13

Solution to 3.9.40 (3.9.38)

Solution to 3.9.45 (3.9.43)

Solution to 3.9.46 (3.9.44)

Solution to 3.10.36

Solution to 4.1.57

Solution to 4.2.36

Solutions to 4.4.16, 4.4.17, N/A, 4.4.76 (4.4.14, 4.4.15, 4.4.49, 4.4.71)

Solution to 4.8.38

Solution to 5.1.30 (5.1.26)

Solutions to 5.2.69, 5.2.70 (5.2.67, 5.2.68)

** Handouts **

Proof of the formula for the derivative of arccos

Proof of the formula for the derivative of arccos (shorter/neater version, but without any explanations)

Rates of change

Differential equations

Related rates

What f' and f'' tell us about f

Graphing functions using the DISAIC method

Slant asymptotes

Optimization

The area problem

Non-integrable functions and the Lebesgue integral (just for fun, won't be on the exam)

Properties of integrals

The book's proof of the FTC

The book's proof of the FTC (shorter/neater version, but without any explanations)

A much easier and neater proof of the FTC

Volumes

** Midterm 1 **

Practice Midterm 1 (Steel) Solutions (Note: For the old version, the corresponding problems are: 3 page 128, 35 page 164, N/A, and 48 page 188)

Midterm 1 (Peyam) Solutions

Midterm 1 (Peyam; only do 1 and 2) Solutions

Midterm 1 (Borcherds) Answer Key

Midterm 1 (Christ) (Brief) Solutions

Midterm 1 (Haiman) Solutions

Midterm 1 (Vojta) (Brief) Solutions

Problems covered during the Midterm 1 - Review Session Answer Key

** Midterm 2 **

Practice Midterm 2 (Steel) Solutions

Midterm 2 (Peyam; ignore 1 and 2) Solutions

Midterm 2 (Peyam) Solutions

Midterm 2 (Borcherds) Answer Key

Midterm 2 (Christ) Solutions

Midterm 2 (Haiman) Solutions

Midterm 2 (Vojta) Solutions

Exponential Growth/Decay - Problems

Related rates - Problems

Optimization - Problems

Harder optimization and related rates - Problems

Miscellaneous Midterm 2 - Problems

Problems covered during the Midterm 2 - Review Session Answer Key

** Final Exam **

Practice Final (Steel) Solutions

Final (Peyam) (this one is hard!) Solutions

Final (also from Peyam) Solutions

Final (Borcherds) Answer Key

Final (also from Borcherds) Answer Key

Final (Christ) (Brief) Solutions

Final (Vojta) Solutions

Final (Agol) Solutions

Final (Adiredja) Solutions

Final (Froehle) Solutions

Final (Jones) (this one is hard!) Answer Key

Limits, Derivatives, Integrals Answer Key

Problems covered during the Final Exam review Session: Part I Part II Part III ( Answers )

** Schedule **

** Progress **

This diagram illustrates our progress in this course. It will be updated weekly:

## AB Calculus Manual (Revised 1/2016)

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This manual can easily replace an expensive textbook. Teachers teach right from it and students write in it.

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The Solution Manual is exactly the same as the student manual except that the solutions with all important steps are shown. There is a one-to-one relationship between the pages of the student manual and the solution manual. So, for example, page 73 will have a series of problems and blank space for the students to write in the solutions. The solution manual's page 73 will have the same problems but with the solutions shown.

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Non-Essentials | |

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