Calculus

5. An ________ is where the limit of a value of a function is not defined
8. a _____ series is an infinite series with x^n
10. ________ equation defines a group of quantities as functions of one or more independent variables called parameters
12. An ________ is the area under a function from point A to B
14. an ___________ series is a series where terms are alternately positive and negative
15. is an object that has both a magnitude and a direction
18. A ________ is a function whose domain is the set of positive integers
21. if function f is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that f'(c) is equal to the function's average rate of change over [a,b].
22. examples of this are sin, cos, tan, sec, csc and cot
24. A _____ is the value that a function approaches as the input approaches some value
25. Maximum or minimum values of a graph

1. area inside a two dimensional object
2. a sequence that has a finite limit
3. __________ functions are similar to trig functions but use e^x
4. A __________ is used to find the slope of the tangent line
6. f(x)is ________ for all values of x
7. The equation defining an algebraic curve expressed in polar coordinates is known as
9. a sequence that doesn't have a finite limit
11. A _______ is where you switch x and y in a function
13. The opposite of a derivative
16. the _________ is what you can find from the second derivative of a graph
17. a _________ is where you add all the terms up
19. __________ rule is a mathematical theorem that allows evaluating limits of indeterminate forms using derivatives
20. a series in the form of 1/n^p
23. inside space of a three dimensional object