Test on Tuesday 1/5 Block 3

I have completed all of the solutions to the problem set. In addition I have copies of the posters in the classroom that are relevant to this material. Test will proceed without fail on Tuesday 1/5 during block 3. Let me know if you need anything else from me.

Solutions and Videos

Finally, solutions and videos to the entire problem set are available below. In addition, you can download the original problem set and a printable solution set.


Problem 1 Video


Problem 2 Video


Problem 3 Video 1
Problem 3 Video 2


Problem 4 Video


Problem 5 Video


Problem 6 Video

This is a new and improved solution to #7. Thanks to Eric B. for catching the error in the previous one.

Problem 7 Video 1
Problem 7 Video 2


Problem 8 Video



Problem 9 Video 1
Problem 9 Video 2

This is a new and improved version of Problem 10 as well. Enjoy.


Problem 10 Video 1
Problem 10 Video 2



Problem 11 Video 1
Problem 11 Video 2



Problem 12 Video 1
Problem 12 Video 2



Problem 13 Video 1
Problem 13 Video 2



Problem 14 Video

Intervals of Increasing/Descreasing and Concave Up/Down

These assignments should be completed by Friday (possible quiz on Friday, so listen up!):

Intervals of Increasing/Decreasing and Concave Up/Down
Critical Numbers and Absolute Extrema

A few solutions

Problem #84 - The answer is B but "getting there is half the fun"



and the second part of that:



And here is a printable version of the final solution.

For problem 90:



and here is the video:



For problem 91:



and its video:

Answers for Chain Rule, Implicit Differentiation, and Related Rates Problem Set are below:

54. D 64. D 74. B 84. B
55. E 65. A 75. E 85. D
56. D 66. D 76. D 86. B
57. A 67. D 77. E 87. B
58. A 68. C 78. B 88. B
59. E 69. A 79. A 89. D
60. A 70. C 80. D 90. C
61. B 71. A 81. D 91. D
62. E 72. B 82. C
63. B 73. C 83. D

Please complete the assignment and let me know (either here or by email if you have any questions before Monday morning. I will try to answer your questions before Monday, so we can use Monday to do a different type of review. Thanks!

Related Rates and Implicit Differentiation Problem Set

Problem Set

Video Solutions
Problem 1:


Problem 2:


Problem 3: I had a feeling as I was doing this one that there was a mistake in it, but I just could figure out at the time what it was. I forgot the dh/dt when differentiating the volume formula. I will adjust that and upload a new video. Sorry!



More to come later

Related Rates Part 2

Related Rates Part 2 is now available to download. We will have a test on Wednesday covering related rates and implicit differentiation. It will also be cumulative in nature, so expect everything else (including the kitchen sink) :) You are responsible for problems 1-27 all in Section 2.6.

Related Rates

Related Rates HW assignment.

Implicit Differentiation

There are two assignments relating to implicit differentiation. The can be downloaded here:

Assignment 1

Assignment 2

Chain Rule

Larson 7.0 Section 2.4. Monday #7-33 odd. Tuesday #47-65 odd. Wednesday #75-89 all, #101, #105-108 all.

Test on Wednesday

Test on Wednesday 10/21 covering Larson 7.0 Sections 2 and 3. This includes Basic Differentiation Rules (Constant Rule, Power Rule, Constant Multiple Rule, Sum and Difference Rules, Product Rule, and Quotient Rules. Problem Set for this test can be downloaded here.

You should complete #13-29, 32-47, and 50, 51, and 53. Since you may not have time to complete them all tonight, I will not collect the problem set when we meet next. That will not be until Monday. Still, you should attempt as many as possible and make sure you know how to do each problem type.

Don't worry about #52. #53 is listed below.

Find the fourth derivative of




The answer should be

Test on Thursday!!!

For the test on Thursday, you will do Larson 7.0 Section 2.1 #8,14,18,22,24,28,36,48,64,66,68,82,84, and 86 as a problem set to turn in for a grade on Thursday. Please work neatly and show all work. Thanks! See you bright and early on Thursday.

Derivatives by the Limit Process Pt. 3

HW: Larsons 7.0 Section 2.1 61-87

Derivatives by the Limit Process Pt. 2

Homework due for Friday 10/2 is Larson 7.0 Section 2.1 #39-60. It can be downloaded here.

Derivatives by the Limit Process

HW: Larson 7.0 Section 2.1 #6-38 even. It can be downloaded here.

TEST FRIDAY 9/24!!!!

On everything!!!!!

Quiz Tomorrow 9/23

There will be a TEST FRIDAY on:

Trig Limits - you almost got away without this one - I can't believe no one asked about this! :) PASS THE WORD!!!!
Vertical Asymptotes/Infinite Limits and One-Sided Limits
Horizontal Asymptotes and Limits at Infinity
Continuity
Velocity Problems like the ones demonstrated in class today

Answers to Problem Set 1:
1. B 10. D 19. A 28. A 37. E
2. D 11. D 20. A 29. C
3. C 12. E 21. E 30. B
4. A 13. B 22. C 31. B
5. D 14. C 23. B 32. C
6. B 15. C 24. B 33. D
7. A 16. A 25. B 34. C
8. E 17. B 26. B 35. D
9. C 18. C 27. E 36. E

I have fixed a few mistakes that I made with this list!

Answers to Problem Set 1:
17. A 26. C 35. E 44. D 53. A
18. D 27. A 36. C 45. A 54. B
19. A 28. E 37. D 46. B 55. D
20. B 29. D 38. C 47. C 56. E
21. E 30. C 39. A 48. E
22. C 31. A 40. C 49. B
23. A 32. D 41. E 50. E
24. D 33. C 42. A 51. B
25. B 34. A 43. B 52. E

Limit Problem Set #2 and Test/Quiz (???) on Wednesday

Problem Set #2 is now available.

We will have a test/quiz on Wednesday. Be prepared to discuss what it will include tomorrow.

Please bring any open questions you have up to this point. You can also blog them!

Limits Problem Set #1 - Due Monday

Limits Problem Set #1

Note:

1) On problems 1, 3, 5, 15, 17, 19, 29, 30, 31, 34, and 35, SHOW WORK
2) On problems 13, 27, 28, and 37, Give a clear and concise description of how you found your answer
3) For all others, one of the multiple-choice answers will suffice.

Your blogs should be set up and have the equation editor added to them by Monday as well, including your first post. If you need help with either setting up the blog or adding the equation editor, there are videos under Important Links that (hopefully) should be helpful. Please don't wait until Monday to let me know that something is not working. :)

See you all on Monday morning!

There are two homework sets for this evening:

Infinite Limits
Limits at Infinity

Homework: Larson Calculus 7.0 Section 1.3 #27-36, 67-78. Write in your calculus blogs!

The homework assignment from Tuesday can now be downloaded here.

Limits Power Point Presentation

Please let me know if you have any problems downloading it.

Welcome to the new school year. I look forward to working with you all. It is going to be a great year and we are all going to learn a lot. Better still, it will be over before you know it and you all will be heading off to college. Let's all value the little time we have together and make it a successful year for everyone!

Unfortunately I just realized that I don't have a way to post a file out here that every one can download. So I will just list the five limit problems that I would like you to solve using the Table function of your calculators. How's that?

In case you've forgotten how to do this on your calculator, here is video of one of the problems we did in class today.