mathfinal project

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Across
  1. 5. A point where the second derivative = 0
  2. 7. An integral with upper and lower bounds
  3. 8. series a series with the form (-1)^n * a_n
  4. 10. When a discontinuity “jumps” from one value to another
  5. 12. A differentiable function is always _________.
  6. 14. A method that uses the tangent line at x and y to approximate y using intervals of x
  7. 17. A method for finding the area of a solid rotate about an axis
  8. 19. A discontinuity which limits from both sides are the same.
  9. 21. The maximum error for a Taylor Polynomial approximating a function
  10. 22. Values of a function f(x) where f’(x) changes sign
  11. 23. An integral with either bound being an infinite number
  12. 24. A test that is very helpful in determining the radius of convergence of a series
  13. 25. Usually denoted by <x(t),y(t)>
Down
  1. 1. A Riemann sum that uses the right endpoint of an interval to approximate the area under a function
  2. 2. The highest value of a function on a given interval.
  3. 3. A taylor series centered at x=0
  4. 4. A series with the form (1/x)^n
  5. 6. A series with the form 1/n^p
  6. 9. A series denoted by a_n * (x-c)^n
  7. 11. A Riemann sum that uses the average of the endpoints of an interval to approximate the area under a function
  8. 13. A Riemann sum that uses the left endpoint of an interval to approximate the area under a function
  9. 15. The change of x with respect to t
  10. 16. Values of a function f(x) where f’(x) = 0
  11. 18. A theorem that states if f(g)=f(h) and is continuous, then there will be x on the interval (g,h) for which f’(x) = 0
  12. 20. A series that does not converge to a finite value