Expression 9: "l" left parenthesis, "x" , right parenthesis equals "m" left parenthesis, "x" negative "p" . "x" , right parenthesis positive "p" . "y"lx=mx−p.x+p.y
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Expression 10: "m" equals StartFraction, left parenthesis, "p" . "y" minus "q" . "y" , right parenthesis Over left parenthesis, "p" . "x" minus "q" . "x" , right parenthesis , EndFraction equals 0.5 1 6 4 5 9 4 0 0 1 4 6m=p.y−q.yp.x−q.x
equals=
0.5 1 6 4 5 9 4 0 0 1 4 60.516459400146
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Catenaria
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Expression 16: "j" left parenthesis, "x" , right parenthesis equals "x" negative StartFraction, "d" Over 2 , EndFractionjx=x−d2
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Expression 17: "t" equals 0.9 5 4t=0.954
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Expression 18: "v" left parenthesis, "x" , right parenthesis equals left parenthesis, 1 minus "x" , right parenthesis times "p" . "x" positive "x" times "q" . "x"vx=1−x·p.x+x·q.x
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Expression 19: "h" left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, "x" negative min left parenthesis, "p" . "x" , "q" . "x" , right parenthesis , right parenthesis Over StartAbsoluteValue, "p" . "x" minus "q" . "x" , EndAbsoluteValue plus 0.0 0 0 1 , EndFractionhx=x−minp.x,q.xp.x−q.x+0.0001
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Expression 20: "y" equals "l" left parenthesis, "x" , right parenthesis minus left parenthesis, "o" negative "f" left parenthesis, "j" left parenthesis, "h" left parenthesis, "x" , right parenthesis times "d" , right parenthesis , right parenthesis , right parenthesis left brace, max left parenthesis, "p" . "x" , "q" . "x" , right parenthesis greater than or equal to "x" greater than or equal to min left parenthesis, "p" . "x" , "q" . "x" , right parenthesis , right brace Has graph. To audio trace, press ALT+T.y=lx−o−fjhx·dmaxp.x,q.x≥x≥minp.x,q.x