Calculus Crossword

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Across
  1. 4. A series which represents a function as a polynomial that goes on forever and has no highest power of x.
  2. 6. A method for finding the derivative of a composition of functions.
  3. 8. A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions.
  4. 12. The power series in x – a for a function f.
  5. 14. A formula for the derivative of the product of two functions.
  6. 15. The formula for finding the derivative of a power of a variable.
  7. 18. The rate of change of velocity over time.
  8. 21. A notation using the Greek letter sigma (Σ) that allows a long sum to be written compactly.
  9. 22. A graph or part of a graph which looks like a right-side up bowl or part of an right-side up bowl.
  10. 23. A graph or part of a graph which looks like an upside-down bowl or part of an upside-down bowl.
  11. 24. A convergence test used when terms of a series contain factorials and/or nth powers.
  12. 26. A function which gives the slope of a curve.
  13. 27. A convergence test which compares the series under consideration to a known series
  14. 31. The rate of change at a particular moment.
  15. 36. The sum of the terms of a sequence. For example, the series for the sequence 1, 3, 5, 7, 9
  16. 40. The rate of change of the position of an object.
  17. 41. To approach a finite limit.
  18. 43. A "number" which indicates a quantity, size, or magnitude that is larger than any real number.
  19. 44. The series that do not diverge.
  20. 45. A series that has no last term.
  21. 46. Function A function with a connected graph.
  22. 47. A formula for the derivative of the quotient of two functions.
  23. 48. A line that touches a curve at a point without crossing over.
Down
  1. 1. A sharp point on a curve.
  2. 2. The hardest math subject you will ever take.
  3. 3. A point (x, y) on the graph of a function at which the derivative is either 0 or undefined.
  4. 5. An approximation of the definite integral .
  5. 7. A convergence test used when series terms contain nth powers.
  6. 9. The process of writing any proper rational expression as a sum of proper rational expressions.
  7. 10. A convergence test for alternating series.
  8. 11. The product of a given integer and all smaller positive integers. Ex: n!
  9. 13. A technique for finding the volume of a solid of revolution.
  10. 16. The lowest point in a particular section of a graph.
  11. 17. A formula used to model the vertical motion of an object that is dropped, thrown straight up, or thrown straight down.
  12. 19. The highest point in a particular section of a graph.
  13. 20. The math class that is “suppose” to prepare you for Calculus.
  14. 25. The lowest point over the entire domain of a function or relation.
  15. 28. A curve that is smooth and contains no discontinuities or cusps.
  16. 29. A system of equations with more than one dependent variable.
  17. 30. The appearance of a graph as it is followed farther and farther in either direction.
  18. 31. A formula used to integrate the product of two functions.
  19. 32. The derivative of a derivative.
  20. 33. Either a limit from the left or a limit from the right.
  21. 34. A hole in a graph.
  22. 35. The highest point over the entire domain of a function or relation.
  23. 37. A series of the form or , where p > 0.
  24. 38. To fail to approach a finite limit.
  25. 39. A point at which the graph of a relation or function is not connected.
  26. 42. A line or curve that the graph of a relation approaches more and more closely the further the graph.
  27. 49. The value that a function or expression approaches as the domain variable(s) approach a specific value.