Across
- 2. __ sum modelled by s = a/(1-r)
- 5. __ term test; lim as n-> infinity not = to 0 means that the function is divergent
- 6. allows one to calculate backwards from f'(x) to f(x)
- 8. __ method; y = y(old) + h[dy/dx @ (x, y)]
- 10. Taylor series about x=0
- 12. __ rule; d/dx[f(x)g(x)]= f'(x)g(x)+g'(x)f(x)
- 13. __ method; a method to integrate when integration by parts becomes excessively complex
- 14. logistic __; dy/dt = ky(1 - (y/L)
- 15. 1/(n^p); if p > 1, then the function converges, but if 0 < p < 1, then the function diverges
- 18. d/dx[sin(x)]
- 19. __ fractions; integration technique used to break down linear functions
- 20. method used to calculate the volume of a solid when there is a gap between the function and the axis of revolution
- 21. function must be continuous on closed interval; attains at least one maximum and minimum
- 23. __ asymptote; set the denominator equal to 0
- 24. __ division; integration technique used to break down linear functions
- 25. method used to calculate the volume of a solid when there is not a gap between the function the axis of revolution
- 28. derivative of position; if > 0, then particle moving right, but if < 0, then particle moving left
- 30. __ derivative that is used to determine concavity; f"(x) > 0, then concave up and f"(x) < 0 then concave down
- 31. d/dx[-cos(x)]
Down
- 1. dy/dx; instantaneous rate of change
- 3. must add this when calculating an indefinite integral
- 4. function must be continuous and differentiable; average rate of change = instantaneous rate of change
- 7. the formal definition of derivative is written as a __ statement
- 9. __ of convergence; used to determine convergence of power series
- 11. ex: 5*4*3*2*1; represented by a !
- 16. growth that follows the model y=Ce^kt
- 17. __ test; used to find minima and maxima on an interval
- 22. lim as x->c(-) = lim as x->c(+) =
- 26. __'s rule; used to determine the limit by taking the derivative of the top and bottom
- 27. __ rule; d/dx[f(x)/g(x)]={[g(x)f'(x)]-[g'(x)f(x)]}/[g(x)]^2
- 29. used to estimate the area under a curve (can be from the right, left, or middle)