Review — Difficulty 7/10

Dynamical systems · First-order and planar systems

Review skills for this standard. Write answers where shown.

Together with a parent

1. Model population P(t) = 200e^{0.12000000000000001t}. Find P(15). ___ 2. Solve the IVP dy/dt = 12y, y(0) = 13 ___ 3. Optimize: fence a rectangle with perimeter 40. Max area? ___

Written review

1. Model population P(t) = 220e^{0.13999999999999999t}. Find P(17). ___ 2. Solve the IVP dy/dt = 14y, y(0) = 15 ___ 3. Optimize: fence a rectangle with perimeter 44. Max area? ___ 4. Set up but do not solve: mixing 22% and 42% 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
• [ ] Explains First-order and planar systems without prompts

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