Pi Day

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Across
  1. 3. The rate of change of velocity over time
  2. 5. concave _________ a function on an interval when f"(x) is positive for every point on that interval.
  3. 7. csc(x)
  4. 8. a straight line from the center to the circumference of a circle or sphere.
  5. 12. short for trigonometry
  6. 13. ______ Theorem, used to prove the Mean Value Theorem
  7. 15. a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
  8. 16. a formula for computing the derivative of the composition of two or more functions
  9. 19. This line is a straight line that just touches the function at a particular point and has the same slope as the function at that point.
  10. 20. ________values, the x value when the derivative of the relative extrema is either 0 or DNE
  11. 22. a function that gives the slope of f (x) at each value of x.
  12. 23. point of ___________ if the function changes from concave upward to concave downward, or vice versa, at that point.
  13. 24. an alignment in which the top is always above the bottom
  14. 26. a^3 + b^3
  15. 30. refers to something without any limit.
  16. 32. the minimum and maximum of a function on an interval; extreme values
  17. 37. a function's derivative exists at that point
  18. 38. opposite/hypotenuse
  19. 39. line that a curve approaches, as it heads towards infinity
  20. 40. LowDHigh - HighDLow all over low squared
Down
  1. 1. the continuous line forming the boundary of a closed geometric figure.
  2. 2. 1D2 + 2D1
  3. 4. concave_________ a function on an interval when f"(x) is negative for every point on that interval.
  4. 6. _________value is the image under f of a critical point.
  5. 9. _________ min/max Largest and smallest the function will ever be
  6. 10. a physical quantity that is completely described by its magnitude
  7. 11. Abbreviation for Mean Value Theorem
  8. 14. sec(x)
  9. 17. Anything parallel to the horizon
  10. 18. a^3 - b^3
  11. 19. a variable to represent a measured angle
  12. 21. the value that a function approaches as the input approaches some value.
  13. 25. adjacent/hypotenuse
  14. 27. y – y1 =; m(x – x1)
  15. 28. getting rid of a square root in either the denominator or the numerator
  16. 29. The second, third derivative, and so forth for some function.
  17. 31. When the discontinuity can be redefined at the point of discontinuity so that it will be continuous there
  18. 33. opposite/adjacent
  19. 34. the m in y=mx+b
  20. 35. ____ side limit.
  21. 36. cot(x)