# Calculus

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 Author: jdiegosantillan ID: 124586 Filename: Calculus Updated: 2012-04-24 13:44:30 Tags: Calc Folders: Description: Calculus Materials Show Answers:

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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:

12. State the derivative of the trigonometric function:

13. State the derivative of the trigonometric function:

The right anwer is:

14. State the derivative of the trigonometric function:

15. State the derivative of the trigonometric function:

16. State the derivative of the trigonometric function:

The right anwer is:
17. The trigonometric function:

is equivalent to:

18. The trigonometric function,

is equivalent to:

19. The trigonometric function,

is equivalent to:

20. The trigonometric function,

is equivalent to:
The right anwer is:

21. The triginometric function,

is equivalent to:
22. The trigonometric function,

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

24. According to the Pythagorean trigonometric Identity,

25. According to the Pythagorean trigonometric Identity,

26. The trigonometric identity,

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

is equal to:

28. Simplify the following:

• Remember that terms with "like" variable and "like" are concider "like" terms.
29. Point out which one of this fractions has the smallest value.