# Calculus Formulas Q15

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1. floor function  (def)
Greatest integer less than or equal to x.
2.    (graph)
3. ceiling function (def)
Least integer that is greater or equal to x.
4.   (graph)
5.   (graph)
6. Change of base rule for logs:
7. Circle formula:
8. Parabola formula:
9. Ellipse formula:
10. Hyperbola formula:
11. eccentricity
12. 1
13. law of sines:
14. law of cosines:
15. area of triangle using trig:
16. parameterization of ellipse:
17. 1
18. 0
19. Intermediate Value Theorem
If a function is continuous between a and b, then it takes on every value between  and .
20. definition of derivative
21. 0
22. 1
23. slope of parameterized curve:
24. derivative formula for inverses
25. Extreme Value Theorem
If  is continuous over a closed interval, then  has a maximum and minimum value over that interval.
26. Mean Value Theorem
(for derivatives)
• If  is a differentiable function over , then at some point between  and :
27. linearization formula
28. Newton’s Method
29. Mean Value Theorem

(for definite integrals)
If  is continuous on , then at some point  in ,
30. First fundamental theorem:
31. Trapezoidal Rule:
32. Simpson’s Rule:
33.
34. Integration by parts (formula):
35. order for choosing u in integration by parts:
• LIPET
• logs,inverse trig.,polynomial,exponential,trig.
36. exponential change & continuous compound interest:
37. half-life
38. logistics differential equation:
39. logistics growth model
40. surface area about x axis (Cartesian):
41. length of curve (Cartesian):
 Author: gkellymath ID: 280259 Card Set: Calculus Formulas Q15 Updated: 2014-12-04 17:36:07 Tags: calculus HHS Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Folders: Description: Hanford High School Calculus quiz #15: Includes all AB formulas (through 102) Show Answers: