Review — Difficulty 2/10

Partial differential equations · Separation of variables

Review skills for this standard. Write answers where shown.

Together with a parent

1. Model population P(t) = 150e^{0.07t}. Find P(10). ___ 2. Solve the IVP dy/dt = 7y, y(0) = 8 ___ 3. Optimize: fence a rectangle with perimeter 30. Max area? ___

Written review

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? ___ 4. Set up but do not solve: mixing 17% and 37% 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

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