Calculus AB Project

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Across
  1. 3. A ___ is a mathematical concept that describes a function's sudden value change at a specific point
  2. 6. The integral is the ___ of the derivative
  3. 7. What should the upper bound be on an integral in order for it to fit the first FTC?
  4. 9. Find the absolute value of the average value of the function f(x) = -x^2 + 2x + 1 on the interval [1, 4]
  5. 10. Switching "a" and "b" on an integral changes the ___ of the integral's value
  6. 11. Find the limit of sin(4x) over x as x approaches 0
  7. 13. How many parts are there to the fundamental theorem of calculus?
  8. 14. Find the volume of a solid formed by revolving the region bounded by y = sqrt of x, y = 0, and x = 4
  9. 16. What should the lower bound be on an integral in order for it to fit the first FTC?
  10. 20. What theorem states that if there's a continuous function with a domain of [a,b], it takes on any given value between and at some point within the interval?
  11. 21. Find the limit of x squared minus 25 over x minus 5 as x approaches 5
  12. 23. Can a limit exist at a point where the function is not defined?
  13. 24. What is the slope of the line tangent to x^3 - 4x^2 +16x - 32 at x = 2?
  14. 25. Find the integral of (4x-3) on the interval [2,5]
  15. 27. For cross sections of area perpendicular to the x-axis what variable do you use
  16. 28. Another word for the slope of the tangent line
Down
  1. 1. The disc method is when the solid is revolved around the ___
  2. 2. Find double the area of the region bounded by the graphs of f(x) = 2 – x^2 and g(x) = x
  3. 4. Find the average value of the function f(x) = x^2 + 2 on the interval [0,3]
  4. 5. At what x-value is the graph y = |x-6| not differentiable?
  5. 8. What is the theorem where the IROC = AROC on a point on a continuous/differentiable function?
  6. 10. Find the area of the region bounded by the curve y = 2x, the x - axis, y = 0, and x = 4
  7. 12. What is a special case of MVT where both end points on the interval are the same value?
  8. 13. Find the average value of the function f(x) = 6x^2 -8x + 1 on the interval [-1, 1]
  9. 15. The rule for solving derivatives when there are exponents
  10. 17. Find the volume of the solid formed by rotating the region under y = x^2 from x = 0 to x = 2 about the x-axis (round it to nearest whole number)
  11. 18. Evaluate the definite integral of f(x) = 2x^3 +3x^2 - 4x from x = 0 to x = 2
  12. 19. When revolving around an axis using the disc method what is necessary before the integral?
  13. 22. Find the slope of the line tangent to f(x) = x^2 -6x + 9 at x = 3
  14. 24. Find the area of the region bounded by the curves y = 3x and y = x^2 over the interval [0,6]
  15. 26. What is the integral of sinx? (without C)