Review — Difficulty 10/10

Calculus I · Review and limits

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→15) (x² − 225)/(x − 15) = ___ 2. If f(x) = 15x³ − 16x, find f′(14) = ___ 3. ∫₀^15 (16x + 1) dx = ___

Written review

1. Find lim(x→17) (x² − 289)/(x − 17) = ___ 2. If f(x) = 17x³ − 18x, find f′(16) = ___ 3. ∫₀^17 (18x + 1) dx = ___ 4. Find critical points of f(x) = x² − 34x + 20 ___ 5. Related rates: radius grows 16 cm/s. Find dV/dt when r = 18. ___ 6. State the meaning of f′(a) in context. ___

_See printable PDF for diagram._

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Skills checklist

• [ ] Computes limits and derivatives accurately
• [ ] Sets up and evaluates definite integrals
• [ ] Explains results in applied settings
• [ ] Explains Review and limits without prompts

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