Recent Changes

Tuesday, May 11

  1. page home edited Algebra IAlgebra IWelcome Welcome to Central This wiki has been created to help students unde…

    Algebra IAlgebra IWelcomeWelcome to Central
    This wiki has been created to help students understand the criteria that CollegeBoard has for the AP Calculus exams. If you are interested in contributing to the wiki, feel free to contact me at sacampbell@shenandoah.k12.va.us.
    Feel free to browse the following areas:
    (view changes)
  2. page home edited Algebra IAlgebra IWelcome to This wiki has been created to help students understand the criter…

    Algebra IAlgebra IWelcome to
    This wiki has been created to help students understand the criteria that CollegeBoard has for the AP Calculus exams. If you are interested in contributing to the wiki, feel free to contact me at sacampbell@shenandoah.k12.va.us.
    Feel free to browse the following areas:
    (view changes)
  3. page home edited Welcome Algebra IWelcome to Central This wiki has been created to help students understand th…

    WelcomeAlgebra IWelcome to Central
    This wiki has been created to help students understand the criteria that CollegeBoard has for the AP Calculus exams. If you are interested in contributing to the wiki, feel free to contact me at sacampbell@shenandoah.k12.va.us.
    Feel free to browse the following areas:
    AP Calculus
    Algebra I SOL
    (view changes)
  4. page home edited ... Welcome to Central Math Teacher This wiki has been created to help students understand the cr…
    ...
    Welcome to Central Math Teacher
    This wiki has been created to help students understand the criteria that CollegeBoard has for the AP Calculus exams. If you are interested in contributing to the wiki, feel free to contact me at sacampbell@shenandoah.k12.va.us.
    Feel free to browse the following areas:
    AP Calculus

    (view changes)

Friday, April 30

Thursday, April 8

  1. page The Mean Value Theorem and its geometric consequences edited ... Finding of a Tangent Line $ f(x))=5-\frac{4}{x} f(x)=5-\frac{4}{x} find all values of c …
    ...
    Finding of a Tangent Line
    $
    f(x))=5-\frac{4}{x}f(x)=5-\frac{4}{x}
    find all values of c in the open interval (1,4) such that
    $
    (view changes)
  2. page An intuitive understanding of the limiting process edited ... *ε represents a small positive number *δ represents a positive number Changed by Mr. Campbe…
    ...
    *ε represents a small positive number
    *δ represents a positive number
    Changed by Mr. Campbell
    Larson, Hosteler, Edward, Calculus Eighth Edition
    example an intuitive understanding of the limit process
    (view changes)
  3. page An intuitive understanding of the limiting process edited ... *ε represents a small positive number *δ represents a positive number Changed by Mr. Campbe…
    ...
    *ε represents a small positive number
    *δ represents a positive number
    Changed by Mr. Campbell
    Larson, Hosteler, Edward, Calculus Eighth Edition
    example an intuitive understanding of the limit process
    (view changes)

Friday, April 24

  1. page Example Describing asympotic behavior in terms of limits involving infinity edited ... Answer: 1 Explination: ... the term e^{-.02t} approaches $ e^{-.02t} approaches 0 t…
    ...
    Answer: 1
    Explination:
    ...
    the term e^{-.02t} approaches
    $
    e^{-.02t}
    approaches
    0 thus
    Question is from "In preperation for the AP calculus (AB) Exam, Sample Exam VI, Section 2 Part B, #5
    (view changes)
  2. page Relationship between differentiability and continuity edited ... You can prove that f is continuous at x=c by showing that f(x) approaches f(c) as x moves towa…
    ...
    You can prove that f is continuous at x=c by showing that f(x) approaches f(c) as x moves toward c. To do this, use the differentiability of f at x=c and consider the following limit.
    $
    \lim_{\ x\toc}f(x)-f(c)=\lim{\x\toc}\frac{(x-c)(f(x)-f(c)}{(x-c)}=0x\to c}f(x)-f(c)=\lim{\x\toc}\frac{(x-c)(f(x)-f(c)}{(x-c)}=0
    Because the difference of f(x)-f(c) comes to zero as x approaches c, you know that the lim as x approaches c of f(x)=f(c). Therefore , f is continuous at x=c.
    To sum up the relationship between continuity and differentiability:
    (view changes)

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