Calculus Puzzle

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Across
  1. 2. Rule The result of multiplying a set of numbers or expressions.
  2. 5. A word used to indicate any path, whether actually curved or straight, closed or open
  3. 7. A sphere-like surface for which all cross-sections are ellipses
  4. 10. Function A function with a connected graph
  5. 11. A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
  6. 13. A function which gives the slope of a curve
  7. 15. of a Series The difference between the nth partial sum and the sum of a series
  8. 16. Distance covered per unit of time.
  9. 18. The physics term for the amount of energy required to move an object over a given path subject to a given force.
  10. 19. Test A convergence test used when series terms contain nth powers
  11. 20. Value The x-value of a critical point
  12. 21. Function The function f(x) = x
  13. 23. A number indicating the degree to which a figure tends to balance on a given line (axis)
  14. 24. An integration method that essentially involves using the chain rule in reverse
  15. 25. A list of numbers set apart by commas, such as 1, 3, 5, 7, . .
  16. 26. Any real number, or any quantity that can be measured using a single real number
  17. 28. The value that a function or expression approaches as the domain variable(s) approach a specific value
  18. 29. Maximum The highest point over the entire domain of a function or relation
  19. 31. Form A function (or relation) written using (x, y) or (x, y, z) coordinates
  20. 34. Value Theorem A theorem which guarantees the existence of an absolute max and an absolute min for any continuous function over a closed interval
  21. 36. Fractions The process of writing any proper rational expression as a sum of proper rational expressions
  22. 38. Closed Curve A connected curve that does not cross itself and ends at the same point where it begins
  23. 39. Derivative The derivative of a derivative.
  24. 41. of Revolution A surface that is obtained by rotating a plane curve in space about an axis coplanar to the curve
  25. 43. Method A technique for finding the volume of a solid of revolution
  26. 44. A curve shaped like a spring
Down
  1. 1. The total amount of space enclosed in a solid.
  2. 2. Theorem A method for finding the volume of a solid of revolution
  3. 3. Function A function with a range that is a bounded set
  4. 4. Rule A method for finding the derivative of a composition of functions
  5. 6. Up A graph or part of a graph which looks like a right-side up bowl or part of an right-side up bowl
  6. 8. Rule A technique used to evaluate limits of fractions that evaluate to the indeterminate expressions
  7. 9. The rate of change of velocity over time.
  8. 12. Equation An equation showing a relationship between a function and its derivative(s)
  9. 14. Method An iterative process using derivatives that can often (but not always) be used to find zeros of a differentiable function
  10. 17. An extreme value of a function
  11. 20. Term The term in a simplified algebraic expression or equation which contains no variable(s)
  12. 22. Function A function with a graph that is not connected
  13. 26. Method A technique for finding the volume of a solid of revolution
  14. 27. Below A Curve The area between the graph of y = f(x) and the x-axis is given by the definite integral
  15. 30. Lower Bound of a Set The greatest of all lower bounds of a set of numbers
  16. 32. Function A function in which the dependent variable can be written explicitly in terms of the independent variable
  17. 33. Line A line that touches a curve at a point without crossing over
  18. 35. of a Function Either a relative (local) maximum or an absolute (global) maximum
  19. 36. Rule The formula for finding the derivative of a power of a variable.
  20. 37. of Rotation A line about which a plane figure is rotated in three dimensional space to create a solid or surface
  21. 39. of a Curve A number which is used to indicate the steepness of a curve at a particular point.
  22. 40. Rules Algebra rules for convergent series are given below
  23. 42. Derivative Same as the derivative