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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. . ...
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This note was uploaded on 05/08/2009 for the course MATH 1337 taught by Professor Xu during the Spring '08 term at SMU.
 Spring '08
 Xu
 Calculus, Geometry, Critical Point

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