By William Ma

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Each yr, a couple of million U.S. highschool scholars take a number of complicated placement (AP) checks, and, in response to reputable projections, that quantity will proceed to upward thrust within the years forward. that's simply because AP tests confer vital merits on those that do good on them. excessive AP ratings are necessary to gaining admission to such a lot elite faculties. they supply scholars with a aggressive side whilst competing for provides and scholarships. they usually enable scholars to avoid required collage survey classes, saving on skyrocketing university fees.

Designed to coincide completely with the most up-tp-date
AP tests, 5 Steps to a five at the complicated Placement Examinations courses include numerous complex positive aspects that set them in particular opponents. each one consultant is established round an inventive Five-Step Plan. step one is to increase a research plan, the second one builds wisdom, the 3rd and fourth hone test-taking talents and techniques, and the 5th fosters the arrogance scholars have to ace the exams. this versatile examine software can also be adapted to 3 kinds of scholars. For the extra established pupil there's a "Month-by-Month" technique that follows the college 12 months and a "Calendar Countdown" process that starts with the recent 12 months. for college students who depart learning to the final minute "Basic education" covers the fundamentals in precisely 4 weeks.

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Click Here for Terms of Use. 0267-02/Part II 12/18/2001 17:23 Page 12 This page intentionally left blank. 0267-02/Part II 12/18/2001 17:23 Page 13 What You Need to Know About the AP Calculus AB Exam • 13 BACKGROUND ON THE AP EXAM What Is Covered in the AP Calculus AB Exam? The AP Calculus AB exam covers the following topics: • Functions, Limits and Graphs of Functions, Continuity • Definition and Computation of Derivatives, Second Derivatives, Relationship between the Graphs of Functions and their Derivatives, Applications of Derivatives • Finding Antiderivatives, Definite Integrals, Applications of Integrals, Fundamental Theorem of Calculus, Numerical Approximations of Definite Integrals, and Separable Differential Equations.

Volume = π ∫0 (5x) dx = 225π. Simply indicating the answer without writing the integral would only get you one point for the answer but no other credit for the work. • You may not use calculator syntax to substitute for calculus notations. For example, you may not write “ Volume = ∫ ( π)(5 ∗ x)ˆ 2, x, 0, 3 = 225π ” instead of “ Volume = π ∫0 (5x) dx = 225π. ” 3 2 • You are permitted to use the following 4 built-in capabilities of your calculator to obtain an answer: plotting the graph of a function, finding the zeros of a function, finding the numerical derivative of a function, and evaluating a definite integral.

83. Write an equation of the normal line to the graph of y = x3 for x ≥ 0 at the point where f ′(x) = 12. 84. If g( x) = ∫a f (t )dt and the graph of f is shown in Figure D-8, which of the graphs in Figure D-9 on page 23 is a possible graph of g? x y x1 0 x2 x3 x4 x f a 0 Figure D-7 80. How many points of inflection does the graph of y = sin (x2) have on the interval [−π, π]? Figure D-8 b x 0267-02/Part II 12/18/2001 17:24 Page 23 What You Need to Know About the AP Calculus AB Exam • (A) y y (B) (D) a 0 b x b b x a 0 x b y (E) 0 x 0 y y (C) a a 23 a 0 x b Figure D-9 85.

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AP Calculus AB by William Ma
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