# A 3 points compute dy dx at the point 1 2 b 4 points

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: the curve deﬁned by y 3 − xy 2 − x2 y − 2 = 0. (a) (3 points) Compute dy dx at the point (1, 2). (b) (4 points) Find an equation of the straight line normal to the above curve at the point (1, 2). AP Calculus (BC) Chapter 3 Test Calculators Allowed Name: Date: Period: Part III. Multiple-Choice Questions (5 points each; please circle the correct answer.) √ 9. You are given the function g (x) = (A) x = (B) x = 22 1 (C) x = ± 2 1 2 √ xe−x . The solutions of g (x) = 0 are 2 (D) x = ± 22 (E) g (x) = 0 has no solutions. √ 10. What is the equation of the line tangent to the graph of y = sin2 x at x = π 1 =− x− 2 4 π 1 (B) y − = x − 2 4 1 π (C) y − √ = x − 4 2 1 1 π (D) y − √ = x− 2 4 2 1 1 π x− (E) y − = 2 2 4 (A) y − π ? 4 11. If f (x) = 3x2 − x and g (x) = f −1 (x), then g (10) could be (A) 59 1 (B) 59 (C) 11 1 (D) 11 1 (E) 10 √ 12. If f (x) = x2 3x + 1, then f (2) ≈ (A) −6.05 (B) 15.12 (C) −10.58 (D) 12.85 (E) 8.31 13. The position of a particle moving along the x-axis at time t is given by x(t) = ecos 2t , 0 ≤ t ≤ π . For which of the following values of t will x (t) = 0? I. t = 0 π II...
View Full Document

## This note was uploaded on 12/01/2009 for the course BIO 071265836 taught by Professor Solana during the Spring '09 term at Air Force Institute of Technology, Ohio.

Ask a homework question - tutors are online