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Calculus

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AP Calculus AB Princeton Review Practice Test #2 with Solutions

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Calculus Practice Test


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Implicit Differentiation Simplified

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Inverse functions and differentiation
y + xy = 7x Implicit differentiation? (dy/dx) + (x(dy/dx)+ y(1)) = 7(1) (dy/dx)(x + 1) = 7 - y (dy/dx) = (7 - y) / (x + 1) Easy?

Calculus FRQ

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free response questions calculus 1969 1998

AP Calculus Free-Response Questions 1969-present AB 1969 1. Consider the following functions defined for all x: f1(x) = x, f2(x) = xcos x, f3(x) = 3e2x, f4(x) = x - |x|. Answer the following questions (a, b, c, and d) about each of these functions. Indicate your answer by writing either yes or no in the appropriate space in the given rectangular grid. No justification is required but each blank space will be scored as an incorrect answer. Questions Functions f1 f2 f3 f4___

Calculus FRQ

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free response questions calculus 1969 1998

AP Calculus Free-Response Questions 1969-present AB 1969 1. Consider the following functions defined for all x: f1(x) = x, f2(x) = xcos x, f3(x) = 3e2x, f4(x) = x - |x|. Answer the following questions (a, b, c, and d) about each of these functions. Indicate your answer by writing either yes or no in the appropriate space in the given rectangular grid. No justification is required but each blank space will be scored as an incorrect answer. Questions Functions f1 f2 f3 f4___

PRECALCULUS Sparknotes Study Sheet

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SPARKNOTES PRECALCULUS OUTLINE STUDY SHEET FORMULAS

U -cn F e, II Ov u, s cn '\- . A rclolion is a set of ordered pairs of values (c, gr) that "go together." Plotted on the Cartesian plane, a relation is any set of points- Ex: The unit circle in the plane is a relation; it is the set of points (r,gr) that satisfy 12 +'y2 :1. . A funclion is a set of ordered pairs (2, 9) so that for each z-value, there is no more thm one g-value. Plotted on the Cartesian plane, a function must pass the verlicol line fest: Every vertical line cuts the graph of the function at most once. Afunction cm be thought of as a role for generating val- ues. Plug in a value for the independent vodoble (fre- quently z) and receive a value for the dependenl vori- oble (frequently g). We say that "g is a function of r," md mite 9 : f @)-"9 eqtals f of r".

Infinite Series notes

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Mathematics 103 (MAM1003W & END1007W) 2007 Finite Series Permutations. Suppose that a cricket club has 123 active players, and from them the coach has to select a team consisting of 12 men. Of course, in real life, the coach?s choices would be quite limited: he is only likely to select players with whom he is familiar, and some of the players will be known to be of greater ability than others. Let us suppose however, that there are no such constraints, and that the players are all equally likely to be chosen for the team. Let us further suppose that the coach would like to list the team in ?batting order?, i.e., he would like to nominate one of the twelve players to be first batsman, another to be second batsman, and so on right

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