This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: iii. Find all inflection points of N.  B P t r iv. Find intervals of increase and decrease and intervals of upward and downward concav ity. v. Sketch the graph of N. L. 4. The acceleration of a particle is given by: Supposing its initial position is 0 and its initial velocity is 0 write down a formula for its position, x ( t ) . Show that for t > 2 the velocity is always positive. 3. Find the dimensions and area of the rectangle of largest area whose base is on the xaxis and whose other two vertices are above the xaxis and lie on the parabola y = 18  2x2. 5. (Extra credit) Use the Mean Value Theorem to prove the following inequalities: 1. . ...
View Full
Document
 Spring '08
 Xu
 Calculus, Geometry, Critical Point

Click to edit the document details