### Calculus Crossword v2

Justin Chander

A Crossword Of Calculus! (Spaces Don't Count)

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Across
5.Displacement divided by time traveled. (2 Words)
7.A ____ is where the slopes of the secant lines approach infinity from one side, and - infinity from the other, (An extreme case of a corner).
9.A point where the graph of a function has a tangent line, and the concavity changes. (3 Words)
11.The rate of change of position with respect to time.
12.= (LRAM + RRAM)/2 (abbr.)
19.A sequence whose domain is an infinite subset for the positive integers. (2 Words)
20.Instantaneous rate of change of position with respect to time. (2 Words)
22.The unique solution of a differentiable equation satisfying the given initial condition (or conditions). (2 Words)
25.The set of points in a plane whose distances from two fixed points in the plane have a constant difference.
28.An equation involving two or more variables that are differentiable function of time that can be used to find an equation relative to the corresponding rates. (3 Words)
33.(u*v) = u'*v + v'*u (2 Words)
36.A Complex Number in the form 0 + bi. (2 Words)
38.The circle of radius 1 centred at the origin. (2 Words)
39.If a function f is not continuous at a point c, we say that f is ______ at c.
40.The vector <0, 0>, which has zero length and no direction. (2 Words)
41.For the equation dy/dx = f(x, y) is a plot of short line segments with slopes f(x, y) at a lattice of points (x, y) in the plane. (2 Words)
42.The _________ of two positive numbers a and b is sqrt(a*b). (2 Words)
Down
1.Equivalent to ln2/k, where rate constant k is > 0 for a radioactive substance. (2 Words)
2.A discontinuity c of the function f for which f(c) can be re-defined so that limit as x-->c f(x) = f(c). (2 Words)
3.The set of points in a plane whose distances from two fixed points in the plane have a constant sum.
4.A series in which the terms alternate between + and - is an? (2 Words)
6.The formula F = kx; where k is the Force Constant. (2 Words)
8.The absolute value (or magnitude) of velocity.
10.An approximation of the derivative of a function using a numerical algorithm. (2 Words)
13.The derivative of a velocity function with respect to time.
14.If y = f(x), then y' and f'(x) both denote the first derivative of the function with respect to x. (2 Words)
15.The McLaurin Series for f(x) = (1+x)^m. (2 Words)
16.A function f for which f(-x) = f(x) for every x in the domain of f. (2 Words)
17.A Function f for which there is a positive number p, such that f(x+p) = f(x), for every value to x. (2 Words)
18.A time-saving way to organize work of repeated integrations by parts is known as __________. (2 Words)
21.Equivalent to v/abs(v), and the Direction Of Motion. (2 Words)
23.The line about which a solid of revolution is generated. (3 Words)
24.The error incurred in using a finite partial sum to estimate the sum of an infinite series. (2 Words)
26.In polar coordinates, we identify the origin, 0, as a?
27.The definite integral of force times the distance over which the force is applied.
29.In polar coordinates the positive x-axis is the? (2 Words)
30.The derivative of an acceleration function with respect to time.
31.When a small change in x produces a large change in the value of a function, f(x), we say that the function is relatively ___________.
32.A Taylor Series centred at x = 0. (2 Words)
34.Of a number, its absolute value; of a vector, it length.
35.A function f for which f(-x) = -f(x) for every x in the domain of f. (2 Words)
37.A set that consists of all the points in a plane equidistant from a given fixed point, and a given fixed line in the plane.

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