Sketch the curve and find any points of maximum or minimum curvature.
A) maximum curvature: and ; minimum curvature:
B) no maximum curvature; minimum curvature: and
C) maximum curvature: and ; minimum curvature:
D) maximum curvature: and ; no minimum curvature

Question

Sketch the curve and find any points of maximum or minimum curvature.  
A) maximum curvature: and ; minimum curvature: 
B) no maximum curvature; minimum curvature: and 
C) maximum curvature: and ; minimum curvature: 
D) maximum curvature: and ; no minimum curvature

Quizplus · Accepted Answer

The curve has two points of maximum curvature and two points of minimum curvature. These points represent the places on the curve where the direction of the curve is changing the most (maximum curvature) or the least (minimum curvature). It is important to note that the maximum and minimum curvatures occur in pairs, so any choice with only one of them is incorrect. Choice C is the only one that lists both pairs of maximum and minimum curvatures.

Sketch the Curve and Find Any Points of Maximum or Minimum