Expression 4: "C" left parenthesis, "t" , right parenthesis plus .4 "N" left parenthesis, "t" , right parenthesis cosine left parenthesis, "f" left parenthesis, "t" , right parenthesis , right parenthesis plus .4 left parenthesis, "T" left parenthesis, "t" , right parenthesis times "N" left parenthesis, "t" , right parenthesis , right parenthesis sine left parenthesis, "f" left parenthesis, "t" , right parenthesis , right parenthesis Has graph.Ct+.4Ntcosft+.4Tt×Ntsinft
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 2 pi2π
4
Unit tangent & normal for Frenet frame:
5
Expression 6: "T" left parenthesis, "t" , right parenthesis equals StartFraction, "C" prime left parenthesis, "t" , right parenthesis Over StartAbsoluteValue, "C" prime left parenthesis, "t" , right parenthesis , EndAbsoluteValue , EndFractionTt=C′tC′t
6
Expression 7: "N" left parenthesis, "t" , right parenthesis equals StartFraction, "T" prime left parenthesis, "t" , right parenthesis Over StartAbsoluteValue, "T" prime left parenthesis, "t" , right parenthesis , EndAbsoluteValue , EndFractionNt=T′tT′t