LEARN MORE...

Home
Documents
July 2022
5
Apcalculusabsummary

Apcalculusabsummary

Content type

User Generated

School

The Frederick Gunn School

Course

AP Calculus AB

Uploaded By

puneybggr286

Pages

11

Showing Page:

1/11

Sign up to view the full document!

Showing Page:

2/11

Sign up to view the full document!

Showing Page:

3/11

Sign up to view the full document!

Showing Page:

4/11

Sign up to view the full document!

End of Preview - Want to read all 11 pages?

Unformatted Attachment Preview

LIMITS & CONTINUITY - Discontinuities: + jump: limit DNE + holes (removable): limit exists + infinite (vert. asym.): DNE - Notation: lim x->a f(x) = y-value - Two-sided limits: two-sided limit exists if BOTH sides approach the same point - One-sided limits: + : from positive side − : from negative side - Evaluating a Limit: substitution factoring: top cancel bottom -> hole -> limit exists - Limits depend on the direction NOT the point - Setting a table for limits: tbl set (2nd window) -> tbl start (where your limit is going) -> △tbl: 0.01 - Piecewise function: figure out where your turnaround point first - Limits and a piecewise function: plug x in both functions to see if the sides meet - Limits at Infinity: rational functions + If denominator ^ > than numerator -> limit goes to 0 + If denominator ^ < than numerator -> limit goes to ± ∞ + If numerator and denominator = -> limits goes to ratio of coefficients + Plugging a hole: need to know the limit => discontinuity? -> limit at discontinuity -> y-value of plug -> extended function - Continuous if lim x->a f(x) = f(a) - Intermediate Value Theorem: if a function f(x) is continuous on the interval [a,b], then the function takes on all x and y values between f(a) and f(b) - Secant Line: looking at at least 2 points on the curve - Average Rate of Change: = 𝑓(𝑏) − 𝑓(𝑎) 𝑏−𝑎 - Tangent Line: + slope of tangent = slope of function at x = a (a is point of tangency) + slope of tangent is the instant ...
Purchase document to see full attachment

Tags: apcalculusabtnt

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Studypool

4.7

Indeed

4.5

Sitejabber

4.4

24/7 Study Help

Stuck on a study question? Our verified tutors can answer all questions, from basic math to advanced rocket science!

Post question

SEU Security Threats and Countermeasures Questions

SEU Security Threats and Countermeasures Questions

5 pages

Personal Philosophy In Nursing

There is nothing more satisfying in life than bringing comfort and happiness to a person who is in discomfort. I have alwa ...

Personal Philosophy In Nursing

There is nothing more satisfying in life than bringing comfort and happiness to a person who is in discomfort. I have always had an instinct of ...

9 pages

Cis8011 digital innovation

The paper presents implementation of internet-facing gateway solution use case at Modbury Hospital, an Australian private ...

Cis8011 digital innovation

The paper presents implementation of internet-facing gateway solution use case at Modbury Hospital, an Australian private healthcare organisation with ...

need the question answered by feb 18th eastern time by 9pm

1. Describe some examples of how Scandinavian/Old Norse influenced English, in terms of both vocabulary and grammar. From ...

need the question answered by feb 18th eastern time by 9pm

1. Describe some examples of how Scandinavian/Old Norse influenced English, in terms of both vocabulary and grammar. From the kinds of Scandinavian loanwords that ended up in English, what conclusions can you draw about the kinds of contact that Scandinavians had with English people? Read Box 4.3, pages 94-95, in David Crystal’s The Stories of English, which contains three Old English riddles, and answer the following questions. As you read, try to guess the answers to the riddles, too! To see if your guess is correct, look at Crystal, page 539, Note 4 in the Chapter 4 section. 2. In Riddle 43, look at the phrase “wrætlice wyrd.” Wrætlice (adj.) means strange, wondrous, curious. Wyrd (noun) means event, phenomenon, occurrence. a. What modern English word is wyrd related to? Look up that word in the OED and list the definition number (e.g. “adv., 8c”) that applies to the use of wyrd in Riddle 43. b. Which of the following types of meaning change do you think best describes how the meaning of wyrd has changed since Anglo-Saxon times, and why? narrowing, widening, metaphorical extension, or shift c. The complete phrase me þæt þuhte wrætlice wyrd is called an “impersonal” construction, literally to me it seemed a strange event. It’s impersonal because the grammatical subject is “it,” although “me” is the person really doing the thinking. (As an interesting side note, this phrasing is fossilized in the archaic-sounding word “methinks.”) When me þuhte is used in this way, the object, wrætlice wyrd, is in the dative case. Using the table of sample adjective endings (Van Gelderen 66), can you guess what gender the noun wyrd is? 3. In Riddle 32, are there any Old English words you can identify because they seem similar to modern English words? Which ones, and why? 4. What conclusions about Anglo-Saxon culture can you draw from the content and tone of these poems?

Compare and Contrast Paper

InstructionsProduce a complete 2-4 page paper in which you do a comparison and contrast between driverless cars and/or t ...

Compare and Contrast Paper

InstructionsProduce a complete 2-4 page paper in which you do a comparison and contrast between driverless cars and/or traditionally driven cars. Be sure to define your reason for writing (thesis), and treat both ideas equally as to pros and cons, costs to promote, validity, efficiency to use, probability of success, and manpower requirements, etc. Your paper should contain an introductory paragraph, thesis statement, body paragraphs each supporting a major idea regarding your point for writing, and a concluding paragraph to wrap-up the paper and signal the completion of your support for your reason for writing.Although actual research is not a part of this assignment, provide a brief statement at the beginning of the assignment explaining how you would have gone about finding and providing support for your paper.Must be done in APA format

362 pages

Atipharmupdated

A nurse is providing teaching to a client who has peptic ulcer disease and is to start a new prescription for sucralfate. ...

Atipharmupdated

A nurse is providing teaching to a client who has peptic ulcer disease and is to start a new prescription for sucralfate. Which of the following ...

Similar Documents

Mitochondrial Transfer The Making of Three Parent Babies Discussion

Read this short article:Mitochondrial Transfer: The making of three-parent babiesDo a quick Internet search to learn more ...

PHYS 230 Laney College Heat Mechanism Lab Report

Ohm’s Law This lab is created to test Ohm’s Law which is a statement that current is proportional to the voltage diffe...

CSUGC Creating a Methodology Essay

Hi there again - would you be interested in helping me with my Project Management Class? Here is Week 1 Assignment. I have...

Week 7 Ethics and Professional Code of Conduct Discussion

Case StudyA country with a history of corruption and bribery has made great efforts via education and prosecution to condu...

Campbellsville University Emerging Enterprise Network Applications Discussion

discussion post 250 WORDS CITING references in apa formattwo replies each 150 words each with referencesno plagiarismneed ...

MGT403 SEU Knowledge Management Essay

‫المملكة العربية السعودية‬ ‫وزارة التعليم‬ ‫الجامعة السعودية ا...

â€«â€ªwww.lifehack.org, Retrieved 22-11-2017. ØŒ Craig Wilson, "15 Bodybuilding Tips for Beginners"1â€¬â€...

Aljebra note 23

Study help

Our tutors provide high quality explanations & answers.

Post question

SEU Security Threats and Countermeasures Questions

SEU Security Threats and Countermeasures Questions

5 pages

Personal Philosophy In Nursing

There is nothing more satisfying in life than bringing comfort and happiness to a person who is in discomfort. I have alwa ...

Personal Philosophy In Nursing

There is nothing more satisfying in life than bringing comfort and happiness to a person who is in discomfort. I have always had an instinct of ...

9 pages

Cis8011 digital innovation

The paper presents implementation of internet-facing gateway solution use case at Modbury Hospital, an Australian private ...

Cis8011 digital innovation

The paper presents implementation of internet-facing gateway solution use case at Modbury Hospital, an Australian private healthcare organisation with ...

need the question answered by feb 18th eastern time by 9pm

1. Describe some examples of how Scandinavian/Old Norse influenced English, in terms of both vocabulary and grammar. From ...

need the question answered by feb 18th eastern time by 9pm

1. Describe some examples of how Scandinavian/Old Norse influenced English, in terms of both vocabulary and grammar. From the kinds of Scandinavian loanwords that ended up in English, what conclusions can you draw about the kinds of contact that Scandinavians had with English people? Read Box 4.3, pages 94-95, in David Crystal’s The Stories of English, which contains three Old English riddles, and answer the following questions. As you read, try to guess the answers to the riddles, too! To see if your guess is correct, look at Crystal, page 539, Note 4 in the Chapter 4 section. 2. In Riddle 43, look at the phrase “wrætlice wyrd.” Wrætlice (adj.) means strange, wondrous, curious. Wyrd (noun) means event, phenomenon, occurrence. a. What modern English word is wyrd related to? Look up that word in the OED and list the definition number (e.g. “adv., 8c”) that applies to the use of wyrd in Riddle 43. b. Which of the following types of meaning change do you think best describes how the meaning of wyrd has changed since Anglo-Saxon times, and why? narrowing, widening, metaphorical extension, or shift c. The complete phrase me þæt þuhte wrætlice wyrd is called an “impersonal” construction, literally to me it seemed a strange event. It’s impersonal because the grammatical subject is “it,” although “me” is the person really doing the thinking. (As an interesting side note, this phrasing is fossilized in the archaic-sounding word “methinks.”) When me þuhte is used in this way, the object, wrætlice wyrd, is in the dative case. Using the table of sample adjective endings (Van Gelderen 66), can you guess what gender the noun wyrd is? 3. In Riddle 32, are there any Old English words you can identify because they seem similar to modern English words? Which ones, and why? 4. What conclusions about Anglo-Saxon culture can you draw from the content and tone of these poems?

Compare and Contrast Paper

InstructionsProduce a complete 2-4 page paper in which you do a comparison and contrast between driverless cars and/or t ...

Compare and Contrast Paper

InstructionsProduce a complete 2-4 page paper in which you do a comparison and contrast between driverless cars and/or traditionally driven cars. Be sure to define your reason for writing (thesis), and treat both ideas equally as to pros and cons, costs to promote, validity, efficiency to use, probability of success, and manpower requirements, etc. Your paper should contain an introductory paragraph, thesis statement, body paragraphs each supporting a major idea regarding your point for writing, and a concluding paragraph to wrap-up the paper and signal the completion of your support for your reason for writing.Although actual research is not a part of this assignment, provide a brief statement at the beginning of the assignment explaining how you would have gone about finding and providing support for your paper.Must be done in APA format

362 pages

Atipharmupdated

A nurse is providing teaching to a client who has peptic ulcer disease and is to start a new prescription for sucralfate. ...

Atipharmupdated

A nurse is providing teaching to a client who has peptic ulcer disease and is to start a new prescription for sucralfate. Which of the following ...