AP Calculus BC, 2014-2015 Edition by William Ma

By William Ma

Get prepared in your AP examination with this easy and easy-to-follow research advisor, up to date for the entire most recent examination changes!

5 Steps to a five: AP Calculus BC good points an efficient, 5-step plan to lead your coaching application and assist you construct the talents, wisdom, and test-taking self assurance you want to prevail. This absolutely revised variation covers the most recent path syllabus and offers version checks that mirror the most recent model of the exam.

Inside you are going to find:

  • 5-Step Plan to an ideal five: 1. organize Your learn software 2. make sure Your attempt Readiness three. improve options for fulfillment four. improve the data you want to rating excessive five. construct Your Test-Taking self belief
  • 2 entire perform AP Calculus BC tests
  • 3 separate plans to suit your learn type
  • Review fabric up-to-date and geared to the latest assessments
  • Savvy info on how checks are developed, scored, and used

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Extra info for AP Calculus BC, 2014-2015 Edition

Example text

12. See Figure DS-3. The graph of f is concave upward for x < x2. f' incr. decr. – [ b 0 incr. decr. rel. max. Figure DS-5 15. See Figure DS-6. A change of concavity occurs at x = 0 for q . Thus, q has a point of inflection at x = 0. None of the other functions has a point of inflection. q' incr [ a x2 f" + – q" f Concave upward Concave downward q Figure DS-3 0 decr [ b 0 + Concave upward – Concave downward Figure DS-6 30 STEP 2. Determine Your Test Readiness 16. Solve x = 1 + e −t for t. x − 1 = e −t ⇒ − ln (x − 1) = t.

G is continuous on (a , b). III. g >0 on (a , b). 4. If f (x ) = |2x e x |, what is the value of lim+ f (x )? 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.

81 . 325. Take a Diagnostic Exam d y −y and y = 3 and x = 2, approximate = dx x2 y when x = 3. 5. −3 dy y (2) = 3 and = so d x x = 2, y = 3 4 56. 415. Chapter 14 57. The series n=0 3 is a series with positive (n + 1)4 terms, which can be compared to the series ∞ n=0 3 . n4 ∞ n=0 3 =3 n4 ∞ n=0 1 and n4 ∞ n=0 1 is a n4 p-series with p = 4, and therefore convergent. ∞ 3 is term by term smaller than (n + 1)4 n=0 ∞ n=0 3 and so n4 ∞ n=0 3 converges. (n + 1)4 x2 x3 x4 + − + ··· 2 3 4 is an alternating series with general term (−1)n − 1 x n .

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