BC Calculus

4. integrals that contain infinity or a value that makes the integrand undefined
7. (integral of udv)=(uv)-(integral of vdu): integration by ___
10. (0,m) is the ___ of a logistic equation
13. a series that is written as powers of x (often looks like a polynomial)
14. (1/2)(integral from a to b of r^2): area of a ___
15. if a series converges with the ratio test, it converges ____
16. if abs val of r is < 1, geometric series ____
20. a series that goes on forever
21. lim as n approaches infinity of the abs val of (a(n+1)/a(n))
22. half of the carrying capacity in a logistic equation
23. a power series that represents a specific function

1. to perform error analysis a series must be alternating and ____ in absolute value
2. (xf(ax)-1) is an example of series ______
3. series where each term is obtained by multiplying the preceding term with the same #
5. if the problem does not fit integration rules for natural logs or an inverse trig function, use ____
6. (x''(t),y''(t))
8. polar equations describe the relationship between ____ away from the pole in reference to an angle
9. ((dy/dt)/(dx/dt)) is the ____ of a tangent line in a parametric equation
11. a process to find y using (new y)=(old y)+(dy/dx)(change in x)
12. 1/(1-r): sum of
17. series that have set starts and stops
18. (abs val of f(#)-p(#)) is less than or equal to (abs val of next term) is less than (given value)
19. integral from a to b of (sq root of (1+(dy/dx)^2))dx