Review — Difficulty 1/10

Methods of applied mathematics · Calculus of variations

Review skills for this standard. Write answers where shown.

Together with a parent

1. Model population P(t) = 140e^{0.06t}. Find P(9). ___ 2. Solve the IVP dy/dt = 6y, y(0) = 7 ___ 3. Optimize: fence a rectangle with perimeter 28. Max area? ___

Written review

1. Model population P(t) = 160e^{0.08t}. Find P(11). ___ 2. Solve the IVP dy/dt = 8y, y(0) = 9 ___ 3. Optimize: fence a rectangle with perimeter 32. Max area? ___ 4. Set up but do not solve: mixing 16% and 36% 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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