Review — Difficulty 3/10

Calculus III · Vector calculus

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→8) (x² − 64)/(x − 8) = ___ 2. If f(x) = 8x³ − 9x, find f′(7) = ___ 3. ∫₀^8 (9x + 1) dx = ___

Written review

1. Find lim(x→10) (x² − 100)/(x − 10) = ___ 2. If f(x) = 10x³ − 11x, find f′(9) = ___ 3. ∫₀^10 (11x + 1) dx = ___ 4. Find critical points of f(x) = x² − 20x + 13 ___ 5. Related rates: radius grows 9 cm/s. Find dV/dt when r = 11. ___ 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

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