Expression 5: "y" equals 1 quarter times StartFraction, "U" Subscript, "p" , Baseline Over "d" , EndFraction times StartFraction, 1 Over "U" Subscript, "d" , Baseline , EndFraction times "x" squared left brace, 0 less than "x" less than "l" , right brace left brace, 0 less than or equal to "y" less than or equal to StartFraction, "d" Over 2 , EndFraction , right bracey=14·Upd·1Ud·x20<x<l0≤y≤d2
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Expression 6: "f" equals StartFraction, "d" Over 2 , EndFraction left brace, 0 less than "x" less than "l" , right bracef=d20<x<l
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Expression 7: "g" equals 1 half times StartFraction, "U" Subscript, "p" , Baseline Over "d" , EndFraction times StartFraction, 1 Over "U" Subscript, "d" , Baseline , EndFraction times "x" times "l" negative StartFraction, 1 Over 4 , EndFraction times StartFraction, "U" Subscript, "p" , Baseline Over "d" , EndFraction times StartFraction, 1 Over "U" Subscript, "d" , Baseline , EndFraction times "l" squared left brace, "x" greater than "l" , right braceg=12·Upd·1Ud·x·l−14·Upd·1Ud·l2x>l
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Expression 8: 1 quarter times StartFraction, "U" Subscript, "p" , Baseline Over "d" , EndFraction times StartFraction, 1 Over "U" Subscript, "d" , Baseline , EndFraction times "x" squared equals StartFraction, "d" Over 2 , EndFraction left brace, 0 less than "x" less than "l" , right brace14·Upd·1Ud·x2=d20<x<l