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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 x-axis and whose other two vertices are above the x-axis 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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