Engineering Board Exam Reviewer · Differentials and Linear Approximation · medium

Use a linear approximation to estimate (1.98)3.

  1. 8.24
  2. 7.5
  3. 7.88
  4. 7.76

Answer

D. 7.76

Solution

Let f(x)=x3 at a=2: f(2)=8 and f'(2)=12. Then f(1.98) 8+12(-0.02)=7.76.

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