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Calculus

Aaron Jensen

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Across
2.The number of the highest derivative in a differential equation. (5 Words)
6.An integral which is evaluated over an interval. (2 Words)
8.A number which is used to indicate the steepness of a curve at a particular point. (4 Words)
9.A first order ordinary differential equation which can be solved by separating all occurrences of the two variables on either side of the equal sign and then integrating. (3 Words)
12.A method for determining whether an inflection point is a minimum, maximum, or neither. (3 Words)
14.A method for determining whether a critical point is a relative minimum or maximum. (3 Words)
17.A function which gives the slope of a curve
18.The value that a function or expression approaches as the domain variable(s) approach a specific value.
21.A major theorem of calculus that relates values of a function to a value of its derivative. Essentially the theorem states that for a "nice" function, there is a tangent line parallel to any secant line. (3 Words)
27.A method for finding the derivative of functions such as y = xsin x (2 Words)
29.The lowest point over the entire domain of a function or relation. (2 Words)
34.A convergence test which compares the series under consideration to a known series. (2 Words)
37.A discontinuity for which the graph steps or jumps from one connected piece of the graph to another. (2 Words)
38.A theorem which allows the computation of the limit of an expression by trapping the expression between two other expressions which have limits that are easier to compute. (2 Words)
40.An extreme value of a function.
41.The x-value of a critical point. (2 Words)
42.The rate of change of velocity over time.
43.A function with a connected graph. (2 Words)
44.A limit that has an infinite result (either ∞ or –∞ ), or a limit taken as the variable approaches ∞ (infinity) or –∞ (minus infinity). The limit can be one-sided. i (2 Words)
46.A formula for the derivative of the reciprocal of a function. (2 Words)
47.The formula for finding the derivative of a power of a variable. (2 Words)
48.The total amount of space enclosed in a solid.
49.An iterative process using derivatives that can often (but not always) be used to find zeros of a differentiable function. (2 Words)
Down
1.Either a limit from the left or a limit from the right.
3.The theorem that establishes the connection between derivatives, antiderivatives, and definite integrals. (4 Words)
4.The process of finding the derivative of an explicit function. (2 Words)
5.The family of functions that have a given function as a common derivative. (2 Words)
6.An equation showing a relationship between a function and its derivative(s). (2 Words)
7.A line that touches a curve at a point without crossing over. (2 Words)
10.The highest point over the entire domain of a function or relation. (2 Words)
11.The rate of change at a particular moment. Same as the value of the derivative at a particular point. (4 Words)
13.The branch of mathematics dealing with limits, derivatives, definite integrals, indefinite integrals, and power series.
15.A point at which a curve changes from concave up to concave down, or vice-versa. (2 Words)
16.The highest point in a particular section of a graph. (2 Words)
19.A model for growth of a quantity for which the rate of growth is directly proportional to the amount present. (2 Words)
20.A method for finding the derivative of an implicitly defined function or relation. (2 Words)
22.A function with a graph that is not connected. (2 Words)
23.A method for approximating a definite integral using linear approximations of f. (2 Words)
24.A theorem of calculus that ensures the existence of a critical point between any two points on a "nice" function that have the same y-value. (2 Words)
25.An integration method that essentially involves using the chain rule in reverse. (3 Words)
26.Any kind of periodic motion that can be modeled using a sinusoid. That is, motion that can be approximately or exactly described using a sine or cosine function. (3 Words)
28.The lowest point in a particular section of a graph. (2 Words)
30.A method for finding the derivative of a composition of functions. (2 Words)
31.A formula for the derivative of the quotient of two functions. (2 Words)
32.A formula for the derivative of the product of two functions. (2 Words)
33.The area between the graph of y = f(x) and the x-axis (4 Words)
35.A function with a range that is a bounded set. (2 Words)
36.The rate of change of the position of an object.
39.An approximation of the definite integral (2 Words)
45.The physics term for the amount of energy required to move an object over a given path subject to a given force.

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