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

Find the radius of curvature of y= x at x= π2.

1. 0.5
2. 1
3. 2
4. 1.57

Answer

B. 1

Solution

y'= x=0 and y''=- x=-1 at x=π/2. R= (1+0)3/21=1.

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