Calculus BC Crossword

12345678910111213141516171819202122232425
Across
  1. 1. The abbreviation of the theorem stating: If f is a function that is continuous over the domain [a,b] and if m is a number between f(a) and f(b), then there is some value c between a and b such that f(c) = m.
  2. 4. The sum of the terms of a sequence.
  3. 5. Another name for a removable discontinuity that can be removed by filling a single point.
  4. 8. The rate of change of the position of an object.
  5. 9. The type of discontinuity for which the limits of the left and the right both exist but are not equal to each other.
  6. 10. The line that touches a curve at a point without crossing over. It is a line which intersects a differentiable curve at the point where the slope of the curve equals the slope of the line.
  7. 13. The branch of math dealing with limits, derivatives, integrals, and power series.
  8. 17. The approach of a finite limit.
  9. 19. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed.
  10. 21. The product of a given integer and all smaller positive integers.
  11. 23. The highest point in a particular section of a graph.
  12. 24. A polynomial that is an approximation of a function using terms from the function's taylor series.
  13. 25. The abbreviation of the theorem stating: If function f is continuous on [a,b] and differentiable on (a,b), then there exists a number c in (a,b) such that f'(c)=(f(b)-f(a))/(b-a).
Down
  1. 2. The total amount of space enclosed in a solid.
  2. 3. The lowest point in a particular section of a graph.
  3. 6. The value that a function approaches as X (or the domain variable) approaches a specific value.
  4. 7. A list of numbers set apart by commas.
  5. 11. The fail to approach a finite limit.
  6. 12. The point at which a curve changes its concavity.
  7. 14. This namesake rule is used to evaluate limits of fractions that evaluate to the indeterminate forms.
  8. 15. The abbreviation of the theorem stating: If a function f is continuous over [a,b] then there are numbers c and d in [a,b] such that f(c) is an absolute minimum over [a,b] and f(d) is an absolute maximum over [a,b].
  9. 16. The name given to the series 1 + 1/2 + 1/3 + 1/4 + ... + 1/n + ...
  10. 18. A point on a graph of a function at which the derivative is either 0 or undefined.
  11. 20. A line that passes through at least two points of a curve.
  12. 22. A sharp point on a curve. At this point functions are not differentiable.