By Maxine Lifshitz
Presents an entire evaluate of subject matters incorporated within the collage Board AP Calculus AB and Calculus BC direction descriptions and should aid scholars advance the talents and methods had to prevail on either the Calculus AB and Calculus BC assessments.
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Additional info for Amsco's AP Calculus AB BC: Preparing for the Advanced Placement Exams
Set the p and press Õ. 429], and the range is [0, 4]. Exercises Multiple-Choice Questions No calculator is allowed for these questions. 1. For the pair of parametric equations x(t) ϭ 2 cos t and y(t) ϭ sin t, eliminating the parameter gives which equation in the variables x and y? (A) x2 ϩ y2 ϭ 4 (B) x2 Ϫ y2 ϭ 4 (C) x2 ϩ 4y2 ϭ 4 (D) 4x2 ϩ y2 ϭ 4 (E) 4x2 Ϫ y2 ϭ 4 34 Chapter 2 • Functions and Their Properties 2. For the pair of parametric equations x(t) ϭ t2 ϩ t and y(t) ϭ t, eliminating the parameter gives which equation in the variables x and y?
F(1) ϭ 2 • The x-axis is a horizontal asymptote.
The result is 1. EXAMPLE 5 Evaluate lim x → 25 "x Ϫ 5 . x Ϫ 25 0 Solution Substitute x ϭ 25 into the expression. The result is , an inde0 terminate form. Since the numerator has a square root, rationalize the numerator by multiplying the numerator and the denominator by the conjugate "x ϩ 5. Multiply out the conjugates in the numerator, but leave the denominator in factored form. a "x ϩ 5 "x Ϫ 5 x Ϫ 25 1 ϭ b ϭ x Ϫ 25 "x ϩ 5 (x Ϫ 25)( "x ϩ 5) "x ϩ 5 Now substitute x ϭ 25 into the simplified expression: lim x → 25 1 ϭ 1.
Amsco's AP Calculus AB BC: Preparing for the Advanced Placement Exams by Maxine Lifshitz