Example 2.  Consider the parabola  [Graphics:Images/CurvatureMod_gr_28.gif] and the point  (1,f(1)) = (1,1)  on the curve.  
Find the unit tangent and unit normal at point (1,1).

Solution 2.

[Graphics:../Images/CurvatureMod_gr_29.gif]



[Graphics:../Images/CurvatureMod_gr_30.gif]



[Graphics:../Images/CurvatureMod_gr_31.gif]


[Graphics:../Images/CurvatureMod_gr_32.gif]

[Graphics:../Images/CurvatureMod_gr_33.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004