Basic Calculus

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Across
  1. 4. is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball Like a circle.
  2. 6. an increase or addition, especially one of a series on a fixed scale.
  3. 7. a function is defined by applying different formulas to different parts of its domain is a _________ function
  4. 9. When the graph of a function is continuous.
  5. 11. a curve that is uninterrupted
  6. 13. The derivative of velocity
  7. 15. Combining two functions by substituting one function's formula in place of each x in the other function's formula.
  8. 17. differentiation by separating variables
  9. 19. In calculus, Leibniz is credited for ______
  10. 20. says how many times to use the number in a multiplication
  11. 21. Either a limit from the left or a limit from the right.
  12. 23. described as a value approached by a variable quantity that changes in some prescribe manner
  13. 25. Just like integration, it is also an underlying mathematical operation in calculus
  14. 27. -b±√b²-4ac / 2a
  15. 28. is any of the line segments from its center to its perimeter,
  16. 32. Finding the derivative when you can't solve for y.
  17. 34. is a 3-sided polygon sometimes (but not very commonly) called the trigon.
  18. 35. also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
  19. 37. is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
  20. 38. is the rate of change of its position with respect to a frame of reference, and is a function of time.
  21. 40. occurring, done, or completed in an instant.
  22. 44. is triangle with an angle of 90 degrees
  23. 46. a straight line joining two points on a function's curve
  24. 47. rule to differentiate a function composed of a function divided by another function
  25. 48. is the quantity that expresses the extent of a two-dimensional figure or shape in the plane
  26. 50. are looking for the largest value or the smallest value
  27. 51. are seen in almost all math applications beginning with algebra.
Down
  1. 1. a line that touches a curve at a point without crossing it
  2. 2. Sum of terms in a sequence
  3. 3. the derivative of a function is negative when the function is _________
  4. 5. point a point where the graph has a tangent line and the concavity changes
  5. 8. if a function f is not a continuous at a point c, then c is a point of ________ of f
  6. 10. Originally defined as the ratio of a circle's circumference to its diameter
  7. 12. Gives points of inflection.
  8. 14. is a change in position of an object over time.
  9. 16. not changing or varying
  10. 18. the limit as x approaches zero in the equation 5x+25
  11. 22. a function satisfying a given differential equation.
  12. 24. a way to represent a rate of change
  13. 26. is a triangle in which all three sides are equal.
  14. 29. limitless
  15. 30. The value that a function is approaching as x approaches a given value through values more than x
  16. 31. a closed curve or circular object is the linear distance around its edge.
  17. 33. It is came from the greek word "pebbles"
  18. 36. an equation involving two or more variables that are differentiable functions of time can be used to find an equation that relates the corresponding rates
  19. 38. The extent to which an object fills units of three-dimensional space is its Volume.
  20. 39. The invention of calculus is often attributed to Sir Isaan Newton and ___ Wilhelm Leibniz.
  21. 41. is a quadrilateral with four right angles.
  22. 42. a rule used to differentiate composite functions
  23. 43. The value that a function is approaching as x approaches a given value through values less than x
  24. 45. is a regular quadrilateral, which means that it has four equal sides and four equal angles
  25. 49. a quantity with magnitude and direction