Review — Difficulty 4/10

Dynamical systems · Discrete dynamical systems

Review skills for this standard. Write answers where shown.

Together with a parent

1. Model population P(t) = 170e^{0.09000000000000001t}. Find P(12). ___ 2. Solve the IVP dy/dt = 9y, y(0) = 10 ___ 3. Optimize: fence a rectangle with perimeter 34. Max area? ___

Written review

1. Model population P(t) = 190e^{0.11t}. Find P(14). ___ 2. Solve the IVP dy/dt = 11y, y(0) = 12 ___ 3. Optimize: fence a rectangle with perimeter 38. Max area? ___ 4. Set up but do not solve: mixing 19% and 39% solutions = ___ 5. Interpret units on the slope of a regression line. 6. Check dimensional consistency in your formula. ___

_See printable PDF for diagram._

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Skills checklist

• [ ] Builds models from context
• [ ] Solves standard applied problems
• [ ] Interprets solutions with units

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