Calculus (Period 4) Assignments

Final Exam: Wednesday 10:20am - 12:20pm

Volumes of Revolution: Disk and Washer

 Find the Volume of the vase. The overall height is 8 inches

 

Find the volume of the Pink Wavy Bottle on the far right: The base is square and the overall height is 12 inches.

Unit 4 test

Integration by Substitution

1-4, 6-13, 15-16

Substitution for definite integrals

PLEASE READ COMPLETELY!!!

 

First, please turn in both worksheets that were due today. It's been like over a week, totally!

 

Today, we are going to try something new. I recently found that desmos allows teachers and students to interact via the student.desmos.com platform. I am going to list a few activities for you to complete on student.desmos.com

 

I will be grading these individually, so every student needs to complete each project. If you don't login with a desmos account, enter the code and press continue without signing in on the next page. Please enter your first and last name to receive credit for each project. When you answer the last question of a project, there isn't really anything to press. Just close the tab and re-navigate to student.desmos.com . When prompted to answer a question with words, please answer appropriately as your writings may be shared with other students during the project....

 

 

Please grab a Chromebook and navigate your browser to student.desmos.com

When prompted, enter this code to start the first project.

 

This should start the activity: Sketchy Derivatives

 

Find the area under the Gateway Arch curve -- 630 feet

Find the area under the entrance to the Church -- 35 feet

MVT worksheet. Skip #9

If you think these answers are wrong, some of them want the x-value where the top of the box and curve intersect. To find this, you do C=f(x) and solve for x. Check that the x-value fits in the interval

Chapter 4 Quiz

4.1 - 4.4(FTC1)

Group quiz or 3-part quiz

 

Topics: Evaluating Sums, differential equations, indefinite integration, definite integration, finding area under or between curves / lines

4.3 Page 271: 1-7 odd, 11-15 odd, 25-30, 43

Due to the high number of students who will not be in attendance, we will take a Calculus Placement Test on Friday. The quiz has been moved to Thursday after break

Chapter 3 Project Supplement:

This short essay is meant to fill the gap in student's project grade due to the project being done in one class period. This is open to all students and is not dependent on the project grade.

 

Please find an article, thesis, dissertation, peer reviewed journal entry, news story, etc about optimization being used in the real world. Please write a 500+ word essay about this article. Please include your opinions about the optimization process being used in the real world setting. You may not understand the math behind the process, but how does the process improve operations, profit, environmental impacts, etc?

 

When I looked for an article, I thought about what I liked. I like mining so I searched, "Mining Optimization" and this dissertation came up about Open Pit Mining and Optimization:

You can do something similar to find a source.

Approximating Area Under a Curve

Page 248: 1, 3, 7-9, 10-13, 20-23, 31, 33, 35, 45-46, 52

Test Corrections Chapter 3

Chapter 3 Test
RESCHEDULED TO THURSDAY, MARCH 9, 2017.

I may not be at school on Monday or Tuesday or Wednesday due to family emergency

 

Optimization Packet

In terms of Area and Perimeter, what shape is the most efficient?

In terms of Volume and Surface Area, what solid is the most efficient?

Please answer on a Kiku Paper and bring to class on Wednesday.

Curve Sketching

Intervals of Concavity worksheet

Semester 1 study guide: [this is not homework] [this will not be collected]

Page 87-88: 3-18, 23-29, 36, 38, 45, 46, 57-62.

Page 150-151: 3, 5-27, 33, 35-38, 44, 45, 50, 51, 53, 56, 66, 69.

Page 235: 3-4, 6, 7-9, 11-12, 13-16, 17, 25.

 

Intervals of Increasing and Decreasing

Rolle's Theorem and Mean Value Theorem worksheet

Chapter 2 Exam. 2.1-2.6 including related rate application questions. Study guide to be given on Tuesday

Quiz Chapter 2

Page 130: 7-29 odd, 43-47, 51, 53-59 odd, 76

5.3 Page 121: 2-7, 10, 13-15, 21-23, 27-35 odd, 67, 87

Higher Order Derivative worksheet

Quiz

5.3

5.2 Page 110: 3-12, 17-19, 27-28, 31-32, 34, 36, 63

DO NOT do these by definition! Use the Rules we learned in class!

2.1 Page 99: 1-2, 5-9 odd, 27-28, 33a, 45, 69, 71 LOOK AT THE END OF NOTES

Test Corrections are due to the teacher at the end of the period on Thursday. Please turn them in on time.

 

Test Corrections

For #20 and #21, write true statements that relate Continuity and Limits. Use a Kiku paper and attach it on top of your completed test corrections. These missed points will be added to your test score.

When you turn in Test Corrections at the end of the class period on Thursday, you will staple Kiku on top of Corrections on top of the Exam.

I will not give out answers or the answer key to you. Among and from everyone in the class, all answers and explanations can be found.

These test corrections, without kiku, will go into the gradebook as a small quiz

Chapter 1 In Class Project

Chapter 1 Test

1.5 Notes. There may be a small homework assignment with this, but here are the notes

1.4 Page 75: 1, 5-10, 27-30, 43, 46, 55, 57, 68, 73, 79*, 90, 91

* Ooooooh, that's a good question.

& Use the back of the book to check your answers or to "gain insight" into what the author was thinking when he wrote the problems. (He didn't write the problems, a grad student did)

% I highly suggest not waiting until the night before to start this....

Project 1. We will be writing with laptops on Monday, August 29 during the class period.

A paper copy is due Wednesday, September 7

OR

An email copy is due Tuesday, September 6 at 11:59pm [please put your name in the document file name]

This is not homework, just the completed notes for 1.3

The worksheet was classwork. Almost everyone turned it in

1.2 classwork worksheet

completed notes are now attached