# Calculus 1 chapter 3 cheat sheet

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List of Figures. A list of figures for Calculus in 5 Hours. Learn Calculus In 5 Hours: Part 1. Chapter 1 - Functions. In this lesson we review what a functions is, important terms related to them, and provide you with a tool to graph them. Chapter 2 - Straight Lines and Polynomials.

Calculus AB Unit 3 Review: Derivative Rules

In this lesson we review the concept of a straight line and its two main features - slope and y-intercept. We discuss polynomials and provide interactive tools to graph straight lines and polynomials. Chapter 3 - Combining Functions. We discuss the different ways that functions can be combined. We briefly describe differential calculus and integral calculus.

We provide pictures and basic notation of both. Learn Calculus In 5 Hours: Part 2. Chapter 5 - Understanding Derivatives. Chapter 6 - Your First Four Derivatives. Here we cover the four most important derivatives that you will need. Chapter 7 - The Tangent Line. In this lesson we derive the formula for the tangent line given that we know the function and its derivative. Chapter 8 - The Derivative of a Polynomial. In this lesson we tell you the derivative of a polynomial and give you a tool for calculating its derivative both symbolically and numerically at any point.

Chapter 9 - The Product Rule. The product rule gives us a quick way of finding the derivative of the multiplication of two functions. Chapter 10 - The Quotient Rule. The quotient rule is a quick way to find the derivative of the division of two functions.Fresh coffee is draining from an conical filter with a diameter D of 5 inches and a heigh H of 6 inches at a rate of 13 cubic inches per minute.

It is draining into a coffee pot that has a diameter C of 5 inches. Assuming that no more water is being poured into the filter, find the following when the water level is 4 inches deep in the filter.

As the district announced, next week will be our Spring vacation. I prepared for you a packet to help you review rules and theorems that we learned from the beginning of the year. Just follow the packet and fill in all the blanks with the rules that you are required to know. At the end of the packet are a few practice problems. When I scanned the whole packet some of the practice problems are hard to read, so I am going to attach it separately too.

Not all schools have this break, so College Board will continue with their lessons. Your exam will be Tuesday, May It will be 2 free response problems with multiple questions. They said the types of the free response problems will be the same type has always been. I will continue to monitor the news regarding the exam.

College board promised that they will prepare practice exam for you, so you can practice timing and uploading your solution. As you continue to prepare for the exam, practice how to present your solution clearly and concisely. Have a nice break! Stay home and stay safe. I will e-mail again with a question from the lesson. Attached is a worksheet with 6 FR questions. This is due tomorrow before midnight. For today, there is an assignment using Khan Academy The work for it needs to be included in your portfolio.

The assignment is due tomorrow. This will be followed by an e-mail with questions from the lesson.

## Calculus For Dummies Cheat Sheet

There are only 10 students who answered the email from yesterday thank you. I will love to see more participation. This is part of your preparation for the exam.

In 3 days we will have more details about the exam and I can prepare a more targeted practices along with this lessons. Please check my work posted to understand the details you need to include in your free response answers. A At what rate is the water level in the filter falling?

B At what rate is the coffee level in the coffee pot rising? Here it is. Have fun! This is the schedule for the whole week: use the packet sent to you before break to work on your cheat sheet with the formulas, definitions and theorems that you should know.

Build it in a way that it makes sense to you. Watch the ap lesson of the day. Go back to you cheat sheet and add things as necessary Complete the lesson quiz. It is due the next day before the new lesson. Take a picture of your complete work and send it to me.

### Calculus For Dummies, 2nd Edition by Mark Ryan

Make sure your work is organized and has all the details necessary.The demand curve is decreasing — lower prices are associated with higher quantities demanded, higher prices are associated with lower quantities demanded.

The supply curve is increasing — lower prices are associated with lower supply, and higher prices are associated with higher quantities supplied. Suppose that the price is set at the equilibrium price, so that the quantity demanded equals the quantity supplied.

Now think about the folks who are represented on the left of the equilibrium point. The consumers on the left would have been willing to pay a higher price than they ended up having to pay, so the equilibrium price saved them money. On the other hand, the producers represented on the left would have been willing to supply these goods for a lower price — they made more money than they expected to.

Both of these groups ended up with extra cash in their pockets! This is the difference in price, summed up over all the consumers who spent less than they expected to — a definite integral. This is the difference in price, summed up over all the producers who received more than they expected to.

What are the units of consumer and producer surplus? The tables below show information about the demand and supply functions for a product. The consumer surplus uses the demand function, which comes from the first table. We'll have to approximate the value of the integral using rectangles.

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There are 4 rectangles, and let's choose to use left endpoints. The producer surplus uses the supply function, which comes from the second table.

Let's choose to use left endpoints for this integral also. In precalculus, you learned about compound interest in that really simple situation where you made a single deposit into an interest-bearing account and let it sit undisturbed, earning interest, for some period of time. You may also have learned somewhat more complicated annuity formulas to deal with slightly more complicated situations — where you make equal deposits equally spaced in time.

Calculus allows us to handle situations where deposits are flowing continuously into an account that earns interest. As long as we can model the flow of income with a function, we can use a definite integral to calculate the present and future value of a continuous income stream. The idea here is that each little bit of income in the future needs to be multiplied by the exponential function to bring it back to the present, and then we'll add them all up a definite integral.

Suppose money can earn interest at an annual interest rate of r, compounded continuously. Let F t be a continuous income function in dollars per year that applies between year 0 and year T.

This is a useful way to compare two investments — find the present value of each to see which is worth more today. Money can earn 2. First, please note that we still have to make some simplifying assumptions.

We have to assume that the interest rates are going to remain constant for that entire eight years. Neither of these assumptions might be accurate.Skip to Main Content. District Home. Select a School Select a School. Sign In. Search Our Site. Tactay, Troy. Google Classroom. Join Code: wa6aifu. Go only Meet. I will keep my Meet. Google on during my Office Hours.

Online Tutoring is now available!!! I also encourage you all to use my recycled paper instead of using your own paper. Continuity and Rational Functions Worksheet.

Ch 1 AP Review Worksheet. The following worksheets are supplementary worksheets that you may choose to do Comprehensive Review Worksheet. Limits Worksheet - Graphical and Numerical. Derivative Wkst 3 - Sketching the derivative, Differentiability, and Velocity.

Derivative Wkst 4 - Interpret the Derivative. Derivative Wkst 5 - Second Derivative. Ch 2 Practice Test. Chapter 3 Handouts:.

Calc AB 3. Particles in Motion Wkst. Particles in Motion Answer Key. Mean Value Theorem Worksheet Section 3. Mean Value Theorem Answer Key.Search this site. About Me. Wish List.

Contact Me. Information Sheet. Math 3 CP Fall Pre-Calculus Honors Fall I am so thrilled to be teaching Pre-Calculus! It is one of my favorite subjects in math. I hope that you will enjoy the course as well! Chapter Homework: p. Chapter 9. Chapter 5 5. Chapter 6. No Homework!!!!! Enjoy your Thanksgiving Break :o. Chapter 4. It is optional. List of Testable Topics. Please be on your best behavior and quietly complete the work below. Answer Key to 4. Therefore, if you need to use your calculator, just do "one divided by tan32" if you.Access the web appendices that accompany your textbook.

Easily compare Larson Calculus to other calculus books available. Select a feature from the top menu or slideshow, or search via the magnifying glass icon in the top right. If you are in need of technical support, have a question about advertising opportunities, or have a general question, please contact us by phone or submit a message through the form below. The articles are coordinated to the topics of Larson Calculus.

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Visit MathArticles. Calculus Videos.

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Interactive Examples. Data Downloads. Rotatable Graphs. Math Graphs. Algebra Help. Math Articles. Web Appendices Access the web appendices that accompany your textbook. Using the Site Select a feature from the top menu or slideshow, or search via the magnifying glass icon in the top right. Contact Us If you are in need of technical support, have a question about advertising opportunities, or have a general question, please contact us by phone or submit a message through the form below. General Inquiry Technical Support Advertising. Enable Javascript for audio controls.By Yang Kuang, Elleyne Kase. Pre-calculus involves graphing, dealing with angles and geometric shapes such as circles and triangles, and finding absolute values.

You discover new ways to record solutions with interval notation, and you plug trig identities into your equations. It has a radius of 1, hence the unit. The figure here shows all the measurements of the unit circle:. The theorem and how it applies to special right triangles are set out here:.

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In pre-calculus you deal with inequalities and you use interval notation to express the solution set to an inequality. The following formulas show how to format solution sets in interval notation. Never fear, the following formulas show you how to deal with absolute values in pre-calculus.

Of course you use trigonometry, commonly called trig, in pre-calculus.

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And you use trig identities as constants throughout an equation to help you solve problems. The always-true, never-changing trig identities are grouped by subject in the following lists:. Mary Jane Sterling aught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois for more than 30 years. Cheat Sheet. How to Format Interval Notation in Pre-Calculus In pre-calculus you deal with inequalities and you use interval notation to express the solution set to an inequality.

Trig Identities for Pre-Calculus Of course you use trigonometry, commonly called trig, in pre-calculus. About the Book Author Mary Jane Sterling aught algebra, business calculus, geometry, and finite mathematics at Bradley University in Peoria, Illinois for more than 30 years.