Review — Difficulty 4/10

Calculus II · Parametric and polar calculus

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→9) (x² − 81)/(x − 9) = ___ 2. If f(x) = 9x³ − 10x, find f′(8) = ___ 3. ∫₀^9 (10x + 1) dx = ___

Written review

1. Find lim(x→11) (x² − 121)/(x − 11) = ___ 2. If f(x) = 11x³ − 12x, find f′(10) = ___ 3. ∫₀^11 (12x + 1) dx = ___ 4. Find critical points of f(x) = x² − 22x + 14 ___ 5. Related rates: radius grows 10 cm/s. Find dV/dt when r = 12. ___ 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

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