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Calculus



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Across Down
1 A line segment between the center and a point on the circle or sphere
8 The set of values of the independent variable(s) for which a function or relation is defined
12 The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series
13 The rate of change of the position of an object
14 Any real number, or any quantity that can be measured using a single real number
15 The set of y-values of a function or relation
16 The picture obtained by plotting all the points of an equation or inequality
17 The highest point over the entire domain of a function or relation
19 The geometric figure formed at the intersection of two distinct lines
20 A quantity, drawn as an arrow, with both direction and magnitude
22 A model for growth of a quantity for which the rate of growth is directly proportional to the amount present
23 The lowest point over the entire domain of a function or relation
26 The x-value of a critical point
27 To approach a finite limit
29 A discontinuity that can be 'repaired' by filling in a single point
30 An integral which is evaluated over an interval
32 A curve that is smooth and contains no discontinuities or cusps
35 A model for decay of a quantity for which the rate of decay is directly proportional to the amount present
40 A major theorem of calculus that relates values of a function to a value of its derivative
42 A conic section which is essentially a stretched circle
43 The locus of all points that are a fixed distance from a given point
44 Acronym for a differential equation or partial differential equation accompanied by conditions for the value of the function and possibly its derivatives at one particular point in the domain
46 A flat surface extending in all directions
47 An extreme value of a function
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2 A line which passes through at least two points of a curve
3 The rate of change of velocity over time
4 A method for approximating a definite integral using linear approximations of f.
5 The product of a given integer and all smaller positive integers
6 A graph or part of a graph which looks like a right-side up bowl or part of an right-side up bowl
7 A point at which the graph of a relation or function is not connected
9 The process of finding an integral, either a definite integral or an indefinite integral
10 At a 90° angle
11 Describes a connected set of numbers, such as an interval
12 A point on the graph of a function at which the derivative is either 0 or undefined
14 A notation that allows a long sum to be written compactly
18 The family of functions that have a given function as a common derivative
21 Acronym for a theorem verifying that the graph of a continuous function is connected
23 The length of a curve or line
24 A number which is used to indicate the steepness of a line
25 The value that a function or expression approaches as the domain variable(s) approach a specific value
28 To fail to approach a finite limit
31 Acronym for the change in the value of a quantity divided by the elapsed time
33 A 'number' which indicates a quantity, size, or magnitude that is larger than any real number
34 A line or curve that the graph of a relation approaches more and more closely the further the graph is followed
36 A line that touches a curve at a point without crossing over
37 All numbers on the number line
38 A graph or part of a graph which looks like an upside-down bowl or part of an upside-down bowl
39 A function which gives the slope of the line tangent to a function
41 The amount of time it takes for the amount of the substance to diminish by half for exponential decay
45 A sharp point on a curve
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