Calculus

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  1. In Calculus the derivative if a costant function is:

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

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

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

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

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

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

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

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

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

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    • 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:

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

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    • 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:

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

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

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

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  13. State the derivative of the trigonometric function:
    Image Upload 29
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    The right anwer is:

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  14. State the derivative of the trigonometric function:

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    The right answer is:

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  15. State the derivative of the trigonometric function:Image Upload 35
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    The right answer is:

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  16. State the derivative of the trigonometric function:
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    The right anwer is:

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  17. The trigonometric function:
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    is equivalent to:
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    Answer:

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  18. The trigonometric function,
    Image Upload 44
    is equivalent to:
    Image Upload 45
    The right answer is:

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  19. The trigonometric function,
    Image Upload 47
    is equivalent to:
    Image Upload 48
    The right answer is:

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  20. The trigonometric function,
    Image Upload 50
    is equivalent to:
    Image Upload 51
    The right anwer is:

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  21. The triginometric function,
    Image Upload 53
    is equivalent to:
    Image Upload 54
    • The corect answer is:
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  22. The trigonometric function,
    Image Upload 56
    is equivalent to:
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    • The right anwer is:
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  23. According to the Pythagorean trigonometric Identity,

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

    Image Upload 62
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    The right answer is:

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  25. According to the Pythagorean trigonometric Identity,
    Image Upload 65
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    The right answer is:

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  26. The trigonometric identity,
    Image Upload 68
    is queal to:
    • The right answer is:
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    • Note: This identity is also true if we flip it:
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  27. The trigonometric identity,
    Image Upload 71
    is equal to:
    The right answer is:

    Image Upload 72
  28. Simplify the following:

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    • Answer:
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    • Remember that terms with "like" variable and "like" are concider "like" terms.
  29. Point out which one of this fractions has the smallest value.
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    • Answer:
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  30. Point out which of these fractions has the smallest value.
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    • Anwer:
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  31. State the antiderivative of:
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  32. State the Antiderivative of:
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  33. State the Antiderivative of:
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  34. State the Antiderivative of:
    Image Upload 85
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  35. State the Antiderivative of:
    Image Upload 87
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124586
Card Set
Calculus
Description
Calculus Materials
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