Engineering Board Exam Reviewer · Curvature and Radius of Curvature · medium

Find the curvature of y=x3 at x=1.

  1. 0.1897
  2. 0.06
  3. 0.6
  4. 1.8974

Answer

A. 0.1897

Solution

y'=3x2=3 and y''=6x=6. = |y''|≤ft(1+y'2 )3/2= 6103/2 0.1897.

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