Review — Difficulty 7/10

Business calculus · Integration and multivariable basics

Review skills for this standard. Write answers where shown.

Together with a parent

1. Find lim(x→12) (x² − 144)/(x − 12) = ___ 2. If f(x) = 12x³ − 13x, find f′(11) = ___ 3. ∫₀^12 (13x + 1) dx = ___

Written review

1. Find lim(x→14) (x² − 196)/(x − 14) = ___ 2. If f(x) = 14x³ − 15x, find f′(13) = ___ 3. ∫₀^14 (15x + 1) dx = ___ 4. Find critical points of f(x) = x² − 28x + 17 ___ 5. Related rates: radius grows 13 cm/s. Find dV/dt when r = 15. ___ 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 Integration and multivariable basics without prompts

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