By William Ma

An fascinating new sequence of analysis publications that we could each one pupil layout a process learn pitched to his or her person wishes and studying style

Each 12 months, multiple million U.S. highschool scholars take a number of complicated placement (AP) assessments, and, in line with legit projections, that quantity will proceed to upward thrust within the years forward. that's simply because AP tests confer very important advantages on those that do good on them. excessive AP rankings are necessary to gaining admission to so much elite schools. they supply scholars with a aggressive facet whilst competing for promises and scholarships. and so they enable scholars to circumvent required college survey classes, saving on skyrocketing university fees.

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Extra info for AP Calculus AB

Example text

Always indicate what the final answer is. More Tips • • • • • • • Do easy questions first. Write out formulas and indicate all major steps. Guess if you can eliminate some of the choices in a multiple-choice question. Leave a multiple-choice question blank if you have no clue what the answer is. Be careful to bubble in the right grid, especially if you skip a question. Move on. Don’t linger on a problem too long. Go with your first instinct if you are unsure. Still More Tips • • • • Indicate units of measure.

E) Show that if f(x) = xeax where a > 0, the −1 absolute minimum value of f is . ae 0267-02/Part II 12/18/2001 17:24 Page 26 26 • What You Need to Know About the AP Calculus AB Exam Section II—Part B Number of Questions Time Use of Calculator 3 45 Minutes No Directions: The use of a calculator is not permitted in this part of the test. When you have finished this part of the test, you may return to the problems in Part A of Section II and continue to work on them. However, you may not use a calculator.

What is the slope of the tangent to the curve y = cos (xy) at x = 0? 16. If f ′(x) = g(x) and g is a continuous function for all real values of x, then (A) ∫0 g(3x)dx is 2 1 1 f (6) − f (0) 3 3 (B) f(2) − f(0) −2 −1 0 f 4 b 4 If f(x) = 2 has no solution on [−2, 0], then b could be (A) (B) (C) (D) (E) 3 2 1 0 −2 22. Find the area of the region enclosed by the graph of y = x2 −x and the x-axis. (C) f(6) − f(0) (D) x 1 1 f (0) − f (6) 3 3 23. If ∫− k f ( x)dx = 0 for all real values of k, then which of the graphs in Figure D-5 (see page 21) could be the graph of f?

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