Calculus

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Author:
jdiegosantillan
ID:
124586
Filename:
Calculus
Updated:
2012-04-24 13:44:30
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Calc
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Description:
Calculus Materials
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  1. In Calculus the derivative if a costant function is:

    A) 1
    B) 0
    C) n+1
    D) n-1
    B) Zero

    (this multiple choice question has been scrambled)
  2. State the formula for factoring Difference of Cubes.

    • Example:
  3. State the formula for factoring Sum of Cubes:

    • Examples:
  4. State the formula for factoring Sum of Squares:

    Sum of Squares is a prime and it cannot be factored.
  5. State the formula for factoring Difference of Squares:

  6. State the formula for factoring Addition of Perfect Squares:

  7. State the formula for factoring Difference of Perfect Squares:

  8. Explain in your own words what is meant by the equation:

    Definition: Let f be a function defines on both sides of a, except possibly at a itself. Then

    • means the the values of f(x) can be made arbitrarily large (as large as we please) by taking x sufficiently close to a, but not equal to a.
  9. Explain in your own words what is meant by the equation:

    Definition: Let f be defined on both sides of a, except possibly at a itself. Then

    • means the the values of f(x) can be made arbitrarily large negative by taking x sufficiently close to a, but not equal to a.

    Similar definitions can be given for one-sided limits:

  10. If the at least one of the following statements is true for curve y = f(x) the line x = a is called?


    The line x = a is called and Vertical Asymptote
  11. State the derivative of the trigonometric function:


    • The answer is:
  12. State the derivative of the trigonometric function:

    The right answer is:

  13. State the derivative of the trigonometric function:

    The right anwer is:

  14. State the derivative of the trigonometric function:


    The right answer is:

  15. State the derivative of the trigonometric function:
    The right answer is:

  16. State the derivative of the trigonometric function:

    The right anwer is:
  17. The trigonometric function:

    is equivalent to:
    Answer:

  18. The trigonometric function,

    is equivalent to:
    The right answer is:

  19. The trigonometric function,

    is equivalent to:
    The right answer is:

  20. The trigonometric function,

    is equivalent to:
    The right anwer is:

  21. The triginometric function,

    is equivalent to:
    • The corect answer is:
  22. The trigonometric function,

    is equivalent to:
    • The right anwer is:
  23. According to the Pythagorean trigonometric Identity,


    • The right answer is:
  24. According to the Pythagorean trigonometric Identity,


    The right answer is:

  25. According to the Pythagorean trigonometric Identity,

    The right answer is:

  26. The trigonometric identity,

    is queal to:
    • The right answer is:
    • Note: This identity is also true if we flip it:
  27. The trigonometric identity,

    is equal to:
    The right answer is:

  28. Simplify the following:

    • Answer:
    • Remember that terms with "like" variable and "like" are concider "like" terms.
  29. Point out which one of this fractions has the smallest value.
    • Answer:
  30. Point out which of these fractions has the smallest value.
    • Anwer:
  31. State the antiderivative of:
  32. State the Antiderivative of:
  33. State the Antiderivative of:
  34. State the Antiderivative of:
  35. State the Antiderivative of:

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