AP Calculus BC, 2014-2015 Edition by William Ma

By William Ma

Get prepared to your AP examination with this simple and easy-to-follow examine advisor, up-to-date for all of the most modern examination changes!

5 Steps to a five: AP Calculus BC gains a good, 5-step plan to steer your practise application and assist you construct the abilities, wisdom, and test-taking self belief you must be successful. This absolutely revised variation covers the most recent path syllabus and gives version assessments that mirror the most recent model of the exam.

Inside you'll find:

  • 5-Step Plan to an ideal five: 1. organize Your examine software 2. make certain Your attempt Readiness three. improve thoughts for achievement four. boost the information you want to rating excessive five. construct Your Test-Taking self assurance
  • 2 whole perform AP Calculus BC assessments
  • 3 separate plans to suit your research kind
  • Review fabric up-to-date and geared to the latest assessments
  • Savvy info on how assessments are developed, scored, and used

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Additional info for AP Calculus BC, 2014-2015 Edition

Example text

B ex and ex +1 30. Find the volume of the solid generated by revolving about the x -axis on the region bounded by the graph of y = sin 2x for 1 0 ≤ x ≤ π and the line y = . 2 5 1 dx. 31. Evaluate 2 2 x + 2x − 3 32. Evaluate x 2 cos x d x . f (x )d x b c f (x )d x = II. f (x )d x a a b − f (x )d x c c a f (x )d x = III. f (x )d x b b a − f (x )d x c π 5π , find , 2 2 π/2 the value(s) of x where g has a local minimum. x 39. If g (x ) = 2 sin t d t on Take a Diagnostic Exam ∞ 40. Evaluate 42. The graph of f consists of four line segments, for −1 ≤ x ≤ 5 as shown in Figure D-9.

Trust your instincts. Usually your first approach to solving a problem is the correct one. 2 The Free-Response Questions • • TIP • There are 6 free-response questions in Section 2: Part A consisting of 2 questions which allow the use of a calculator, and Part B with 4 questions which do not permit the use of a calculator. The 6 free-response questions account for 50% of the grade for the whole test. Read, Read, Read. Read the question carefully. Know what information is given, what quantity is being sought, and what additional information you need to find in order to answer the question.

Y x →0 Chapter 6 g 5. If f (x ) = −2 csc (5x ), find f π . 6 6. Given the equation y = (x + 1)(x − 3)2 , what is the instantaneous rate of change of y at x = −1? tan 7. What is lim ∆x →0 π + ∆x 4 ∆x − tan π 4 ? a 0 Figure D-2 b x 22 STEP 2. Determine Your Test Readiness 11. The graph of f is shown in Figure D-3 and f is twice differentiable, which of the following statements is true? y x 14. If g (x ) = f (t)d t and the graph of f is a shown in Figure D-5, which of the graphs in Figure D-6 on the next page is a possible graph of g ?

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