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

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

View Full Document Right Arrow Icon
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

Ask a homework question - tutors are online