By Shirley O. Hockett, David Bock
Either Calculus AB and Calculus BC are lined during this accomplished AP try out instruction handbook. potential try out takers will locate 4 perform assessments in Calculus AB and 4 extra in Calculus BC, with all questions replied and suggestions defined. The guide additionally presents a close 10-chapter evaluation overlaying issues for either tests. The authors additionally supply an outline of the AP Calculus assessments, which include recommendation to scholars on making most sensible use in their graphing calculators.
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Additional resources for AP Calculus
31. (A) Use the Ratio Test, page 415: ( x − 1)n+1 n→∞ ( n + 1)! lim n! i ( x − 1) n 1 x −1, n→∞ n + 1 = lim 32. (C) The absolute value function f(x) = |x | is continuous at x = 0, but f ′(0) does not exist. 33. (B) The Maclaurin series is x3 x5 x7 x9 + − + −... 3! 5! 7! 9! When an alternating series satisfies the Altering Series Test, the sum is approximated by using a finite number of terms, and the error is less than the first term omitted. On the interval Ϫπ Ϲ x Ϲ π, the maximum error (numerically) occurs when x = π.
Lim is h→0 h (A) 1 (B) nonexistent (C) 0 (D) Ϫ1 (E) none of these 13. If, for all x, f ′(x) = (x – 2)4(x – 1)3, it follows that the function f has (A) (B) (C) (D) (E) a relative minimum at x = 1 a relative maximum at x = 1 both a relative minimum at x = 1 and a relative maximum at x = 1 neither a relative maximum nor a relative minimum relative minima at x = 1 and at x = 2 14. Let F ( x ) = ∫ x 0 10 dt . Which of the following statements is (are) true? 1 + et I. F′(0) = 5 II. F(2) < F(6) III. F is concave upward.
A) For what positive values of x does f ( x ) = Â (-1) n =1 n +1 xn converge? 01? 5) using the same number of terms be more accurate, less accurate, or the same? Explain. 2. An object in motion along the x-axis has velocity n(t) = (t + et )sin t2 for 1 ≤ t ≤ 3. Diagnostic Test Calculus BC (a) Sketch the graph of velocity as a function of time in the window [1,3] ¥ [Ϫ15,20]. (b) When is the object moving to the left? (c) Give one value of t from the interval in part (b) at which the speed of the object is increasing.
AP Calculus by Shirley O. Hockett, David Bock