Engineering Board Exam Reviewer · Differentials and Linear Approximation · hard

Use differentials to approximate 46°.

  1. 1.0349
  2. 1.0175
  3. 3
  4. 1.0698

Answer

A. 1.0349

Solution

Let f(x)= x at x=45° with dx=1°=π/180 rad. f'(x)= 2x=2 at 45°. So 46° 1+2≤ft(π/180 ) 1.0349.

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