Calculus

3. __ functions are parametric, but parametric functions are not __
5. integral of udv=uv-integral of vdu
9. the series from n=1 to infinite of 1/n^p
11. The __ rule is the only derivative rule that can always be avoided
14. theorem that states for any differentiable function f and an interval [a,b] (within the domain of f), there exists a number c within (a,b) such that f'(c) is equal to the function's average rate of change over [a,b]
16. (d/dt(dy/dx))/(dx/dt) is the ___ of a parametric
17. Newton’s Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the __
19. In a rational function, this asymptote occurs when a factor remains in the denominator
20. The __ series is the most fundamental series in calculus

1. Integral of -cotx*cosecx
2. The __ method uses slicing to find the volume of a solid
4. U
5. theorem that states for any value L between f(a) and f(b) there's a value c in [a,b] for which f(c)=L
6. fractions
7. If the limit does not exist, the improper integral ___
8. Logistic growth often models __
10. The __ at x of log(ax) remains constant no matter what a is
12. Euler’s method amounts to calculating a __ sum
13. If 𝑓(𝑥) is a continuous function on the interval [𝑎,𝑏] and 𝐹(𝑥) is an antiderivative of 𝑓(𝑥) then The definite integral is the area under a curve between 𝑥=𝑎 and 𝑥=𝑏.
15. Was less well-known for developing calculus
17. A straight line joining two points on a function’s curve
18. The __ test is crucial to find the radius of convergence