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- A small planetarium models the number of visitors at one show, when a ticket costs p dollars, by $q
- Mason cuts a sector from a circular copper disk of radius 6 inches and bends it until the two straight edges meet, making a cone-shaped funnel with…
- O 8 x An outdoor amphitheater has a semicircular floor of radius 8 meters.
- Two walls of a library reading room meet at a right angle.
- Luis runs a shop that builds custom snowboards.
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Optimization: the lesson ›More Chapter 6 worksheets: Analyzing functions: extrema, the mean value theorem, curve sketching, optimization
- 6.1The mean value theorem
- 6.2The extreme value theorem
- 6.3Critical points and local versus absolute extrema
- 6.4Increasing and decreasing from the derivative
- 6.5Position, velocity and acceleration
- 6.6Extrema on a closed interval
- 6.7Concavity and inflection points
- 6.8The first and second derivative tests
- 6.9Curve sketching and connecting f, f' and f''
- 6.10Optimization