Review — Difficulty 6/10

Methods of applied mathematics · Perturbation and asymptotic methods

Review skills for this standard. Write answers where shown.

Together with a parent

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? ___

Written review

1. Model population P(t) = 210e^{0.13t}. Find P(16). ___ 2. Solve the IVP dy/dt = 13y, y(0) = 14 ___ 3. Optimize: fence a rectangle with perimeter 42. Max area? ___ 4. Set up but do not solve: mixing 21% and 41% solutions = ___ 5. Interpret units on the slope of a regression line. 6. Check dimensional consistency in your formula. ___

_See printable PDF for diagram._

___________________________ ___________________________ ___________________________ ___________________________ ___________________________

Skills checklist

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

___________________________ ___________________________ ___________________________ ___________________________