Expression 47: "Y" left parenthesis, "t" , right parenthesis equals left parenthesis, 8cos left parenthesis, StartFraction, pi Over 4 , EndFraction left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 0 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 2 , EndAbsoluteValue plus 2 , right parenthesis , right parenthesis minus 5 quarters left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 3 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 4 , EndAbsoluteValue plus 1 , right parenthesis squared plus 2cos left parenthesis, StartFraction, pi Over 4 , EndFraction left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 4 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 8 , EndAbsoluteValue plus 12 , right parenthesis , right parenthesis plus 1 half left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 9 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 10 , EndAbsoluteValue plus 1 , right parenthesis squared plus 5 quarters left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 10 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 11 , EndAbsoluteValue plus 1 , right parenthesis squared minus 3 halves left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 12 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 13 , EndAbsoluteValue , right parenthesis minus 1 quarter left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 13 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 14 , EndAbsoluteValue plus 1 , right parenthesis squared plus 0 left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 14 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 15 , EndAbsoluteValue , right parenthesis minus 5 quarters left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 16 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 17 , EndAbsoluteValue plus 1 , right parenthesis squared minus StartFraction, 4.5 Over 4 , EndFraction left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 18 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 19 , EndAbsoluteValue plus 1 , right parenthesis squared plus 1 quarter left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 20 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 21 , EndAbsoluteValue plus 1 , right parenthesis squared plus 1 eighth left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 22 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 23 , EndAbsoluteValue plus 1 , right parenthesis squared plus StartFraction, 3.5 Over 4 , EndFraction left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 24 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 25 , EndAbsoluteValue plus 1 , right parenthesis squared plus 2.5cos left parenthesis, StartFraction, pi Over 4 , EndFraction left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 26 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 30 , EndAbsoluteValue plus 4 , right parenthesis , right parenthesis plus 1 third cos left parenthesis, pi left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 31 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 32 , EndAbsoluteValue plus 63 , right parenthesis , right parenthesis plus "b" left parenthesis, StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 33 , EndAbsoluteValue minus StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 34 , EndAbsoluteValue plus 1 , right parenthesis plus 27.9 1 7 plus StartFraction, 2.5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 3 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 3 , EndFraction minus StartFraction, 5.5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 9 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 9 , EndFraction minus StartFraction, 2.5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 12 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 12 , EndFraction plus StartFraction, 13 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 16 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 16 , EndFraction plus StartFraction, 2 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 18 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 18 , EndFraction minus StartFraction, 2.2 5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 20 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 20 , EndFraction minus StartFraction, 1.2 5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 22 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 22 , EndFraction minus StartFraction, .7 5 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 24 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 24 , EndFraction plus StartFraction, 3 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 26 , EndAbsoluteValue Over StartAbsoluteValue, "t" , EndAbsoluteValue minus 26 , EndFraction minus StartFraction, 4 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 31 , EndAbsoluteValue Over 3 left parenthesis, StartAbsoluteValue, "t" , EndAbsoluteValue minus 31 , right parenthesis , EndFraction plus StartFraction, 11 StartAbsoluteValue, StartAbsoluteValue, "t" , EndAbsoluteValue minus 33 , EndAbsoluteValue Over 6 left parenthesis, StartAbsoluteValue, "t" , EndAbsoluteValue minus 33 , right parenthesis , EndFraction , right parenthesis minus 1.5 "b" left parenthesis, StartFraction, StartAbsoluteValue, "t" minus 35 , EndAbsoluteValue Over "t" minus 35 , EndFraction plus 1 , right parenthesis plus StartFraction, "b" Over 2 , EndFraction left parenthesis, StartFraction, StartAbsoluteValue, "t" minus 35 , EndAbsoluteValue Over "t" minus 35 , EndFraction minus StartFraction, StartAbsoluteValue, "t" minus 42 , EndAbsoluteValue Over "t" minus 42 , EndFraction , right parenthesis plus left parenthesis, 1 half cos left parenthesis, pi left parenthesis, StartAbsoluteValue, "t" minus 35 , EndAbsoluteValue minus StartAbsoluteValue, "t" minus 36 , EndAbsoluteValue plus 71 , right parenthesis , right parenthesis plus 1 half cos left parenthesis, pi left parenthesis, StartAbsoluteValue, "t" minus 37 , EndAbsoluteValue minus StartAbsoluteValue, "t" minus 38 , EndAbsoluteValue plus 75 , right parenthesis , right parenthesis plus 1 half cos left parenthesis, pi left parenthesis, StartAbsoluteValue, "t" minus 39 , EndAbsoluteValue minus StartAbsoluteValue, "t" minus 40 , EndAbsoluteValue plus 79 , right parenthesis , right parenthesis plus 11 halves left parenthesis, StartAbsoluteValue, "t" minus 41 , EndAbsoluteValue minus StartAbsoluteValue, "t" minus 42 , EndAbsoluteValue , right parenthesis minus StartFraction, 6.5 StartAbsoluteValue, "t" minus 35 , EndAbsoluteValue Over "t" minus 35 , EndFraction minus StartFraction, 1.5 StartAbsoluteValue, "t" minus 37 , EndAbsoluteValue Over "t" minus 37 , EndFraction minus StartFraction, 1.5 StartAbsoluteValue, "t" minus 39 , EndAbsoluteValue Over "t" minus 39 , EndFraction minus StartFraction, 1.5 StartAbsoluteValue, "t" minus 41 , EndAbsoluteValue Over "t" minus 41 , EndFraction minus 10.5 , right parenthesisYt=8cosπ4t−0−t−2+2−54t−3−t−4+12+2cosπ4t−4−t−8+12+12t−9−t−10+12+54t−10−t−11+12−32t−12−t−13−14t−13−t−14+12+0t−14−t−15−54t−16−t−17+12−4.54t−18−t−19+12+14t−20−t−21+12+18t−22−t−23+12+3.54t−24−t−25+12+2.5cosπ4t−26−t−30+4+13cosπt−31−t−32+63+bt−33−t−34+1+27.917+2.5t−3t−3−5.5t−9t−9−2.5t−12t−12+13t−16t−16+2t−18t−18−2.25t−20t−20−1.25t−22t−22−.75t−24t−24+3t−26t−26−4t−313t−31+11t−336t−33−1.5bt−35t−35+1+b2t−35t−35−t−42t−42+12cosπt−35−t−36+71+12cosπt−37−t−38+75+12cosπt−39−t−40+79+112t−41−t−42−6.5t−35t−35−1.5t−37t−37−1.5t−39t−39−1.5t−41t−41−10.5
Expression 49: left parenthesis, "X" left parenthesis, "t" , right parenthesis , "Y" left parenthesis, "t" , right parenthesis , right parenthesisXt,Yt
domain t Minimum: negative 42−42
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 4242
49
Hidden Label: left parenthesis, "X" left parenthesis, "a" , right parenthesis , "Y" left parenthesis, "a" , right parenthesis , right parenthesisXa,Ya