Untitled

Edit Answers
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950
Across
  1. 5. a point at which a function is discontinuous or undefined
  2. 7. involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known
  3. 10. Rotation the straight line through all fixed points of a rotating rigid body around which all other points of the body move in circles.
  4. 13. a straight line joining two points on a function
  5. 16. a mathematical function that is the inverse of the sine function
  6. 17. the anti-derivative of velocity
  7. 18. let f be continuous on a closed interval [a, b] and differentiable on the open interval (a, b). If f(a) = f(b), then there is at least one point c in (a, b) where f '(c) = 0.
  8. 19. an integral expressed without limits, and so containing an arbitrary constant
  9. 21. the process that calculates the amount of change in one item divided by the corresponding amount of change in another
  10. 23. involve finding a rate at which a quantity changes by relating that quantity to other quantities whose rates of change are known
  11. 25. a method for approximating the total area under a curve on the graph (left, right, trapezoidal, midpoint)
  12. 28. dy/dx
  13. 29. the inverse operation of differentiation
  14. 30. the mathematics of derivatives, integration, and limits
  15. 31. is a method for finding integrals using substitution
  16. 34. the rule to differentiate two functions divided
  17. 36. states that if a continuous function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval
  18. 38. the rule to differentiate a function to the nth power
  19. 39. your fav (yet only) calculus teacher thus far
  20. 40. “+c”
  21. 42. a way to calculate the volume of a solid of revolution by taking the sum of cross-sectional areas of infinitesimal thickness of the solid.
  22. 47. a method for determining whether an inflection point is a minimum, maximum, or neither
  23. 49. if each of two functions has the same limit, and a third function is "squeezed" between them, then it also has that limit at the point
  24. 50. the highest point over the entire domain of a function or relation
Down
  1. 1. an act, process, or methodology of making something (as a design, system, or decision) as fully perfect, functional, or effective as possible; specifically : the mathematical procedures (as finding the maximum of a function) involved in this.
  2. 2. the rule to differentiate two functions multiplied together
  3. 3. never ending (and beyond)
  4. 4. set the first derivative equal to 0 and solve
  5. 6. if the upper bound of the integral is a variable and the lower bound is a constant, the antiderivative is just f(that variable)
  6. 8. a rule for computing the derivative of the composition of two or more functions
  7. 9. the absolute value of velocity
  8. 11. f’(x)
  9. 12. a line or curve that approaches a given curve arbitrarily closely
  10. 14. the amount of space that a substance or object occupies, or that is enclosed within a container, especially when great.
  11. 15. the lowest point over the entire domain of a function or relation
  12. 20. the slope of the tangent line
  13. 22. the process of finding the derivative of a dependent variable in an implicit function by differentiating each term separately, by expressing the derivative of the dependent variable as a symbol, and by solving the resulting expression for the symbol
  14. 24. a formalization of the notion of limit;
  15. 26. a point of a curve at which a change in the direction of concavity occurs
  16. 27. the definite integration of a function is related to its antiderivative, and can be reversed by differentiation
  17. 32. A method of computing the volume of a solid of revolution that is hollow about its axis, by integrating over the volumes of infinitesimal washer-shaped slices bounded by planes perpendicular to the axis of revolution.
  18. 33. a circle with a radius of one
  19. 35. of or expressed by a mathematical exponent
  20. 37. the first derivative of velocity (second derivative of position)
  21. 41. refers to the directionality of the curve; up like a cup, down like a frown
  22. 43. abf(x)dx
  23. 44. the first derivative of the position function
  24. 45. if f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number, c, on the interval (a,b) such that f'(c)=f(b)-f(a)b-a
  25. 46. a point at which two branches of a curve meet such that the tangents of each branch are equal
  26. 48. the inverse operation to exponentiation