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

Find the radius of curvature of y=x2 at x=1.

1. 0.18
2. 2.5
3. 22.36
4. 5.59

Answer

D. 5.59

Solution

y'=2x=2 and y''=2. R= ≤ft(1+y'2 )3/2|y''|= 53/22 5.59.

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