Review — Difficulty 10/10

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) = 230e^{0.15t}. Find P(18). ___ 2. Solve the IVP dy/dt = 15y, y(0) = 16 ___ 3. Optimize: fence a rectangle with perimeter 46. Max area? ___

Written review

1. Model population P(t) = 250e^{0.16999999999999998t}. Find P(20). ___ 2. Solve the IVP dy/dt = 17y, y(0) = 18 ___ 3. Optimize: fence a rectangle with perimeter 50. Max area? ___ 4. Set up but do not solve: mixing 25% and 45% 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 Perturbation and asymptotic methods without prompts

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