Review — Difficulty 8/10

Complex variables for engineers · Integration and series

Review skills for this standard. Write answers where shown.

Together with a parent

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? ___

Written review

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? ___ 4. Set up but do not solve: mixing 23% and 43% 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 Integration and series without prompts

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