AP Calculus BC

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Across
  1. 5. method using step size delta x
  2. 8. theorem that states that if f is continuous on [a,b] then f must take on every y-value between f(a) and f(b)
  3. 10. the sum of a sequence of numbers
  4. 12. integral of velocity
  5. 15. equation involving derivatives and their functions
  6. 16. infinite series whose terms alternate between negative and positive
  7. 20. cos(0) approximated using the first three terms of the maclaurin series
  8. 21. volume of y=6x+2 rotated around the x-axis from x=0 to x=1 (rounded to nearest whole number)
  9. 22. maclaurin series starting with x-(x^3/3!)+(x^5/5!)-(x^7/7!)
  10. 23. integral of velocity function
  11. 25. (e^1)cos(1) approximated using the first three terms of the maclaurin series (truncate to one decimal place)
  12. 29. area between y=x^2 and y=3x
  13. 31. when a series has a limit which is finite
  14. 32. point where f’(x)=0 or f’(x) does not exist
  15. 33. theorem that states that if f is continuous on [a,b] and differentiable on (a,b) then there exists c in (a,b) such that f’(c)=[f(b)-f(a)]/[b-a]
  16. 35. a line that touches a curve at a single point (locally)
  17. 38. derivative of velocity function
  18. 39. d/dx[f(g(x))]=f’(g(x))g’(x)
Down
  1. 1. total distance traveled from 1 to 2 of y=t^3 x=cos(t) (truncate to one decimal place)
  2. 2. approximation of the definite integral using rectangles or trapezoids
  3. 3. integration method involving fractions
  4. 4. concavity when velocity is decreasing
  5. 6. rule used when 0/0 or inf/inf
  6. 7. graph representing the solutions to a differential equation
  7. 9. speed when velocity and acceleration have different signs
  8. 11. concavity when acceleration is positive
  9. 13. e^3 approximated using the first three terms of the maclaurin series
  10. 14. L is the ________ capacity
  11. 17. reverse chain rule
  12. 18. d/dx[csc(sec(x))]-0.774 x=π/4
  13. 19. point where concavity changes
  14. 24. |v(t)|
  15. 25. ∫(1/(1+x^2))dx b=2π a=0 (round to nearest whole number)
  16. 26. a function with a break, jump, or hole
  17. 27. taylor series centered at c=0
  18. 28. a line that touches a curve at two or more points (globally)
  19. 30. d/dx[tan(x^2)] x=π/2 (rounded to the nearest whole number)
  20. 34. when velocity is positive
  21. 36. ________ error bounds
  22. 37. test that can be used when f(x) is continuous, positive, and decreasing