Expression 4: "P" Subscript, 3 , Baseline left parenthesis, "y" , right parenthesis equals 1 half left parenthesis, 5 "y" cubed minus 3 "y" , right parenthesis plus 2 left brace, negative 1 less than or equal to "y" less than or equal to 1 , right braceP3y=125y3−3y+2−1≤y≤1
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Expression 5: "x" plus 1 equals left parenthesis, "P" Subscript, 1 , Baseline left parenthesis, "y" , right parenthesis plus 1 , right parenthesis times 1 half left parenthesis, sin left parenthesis, 300 "y" , right parenthesis plus 1 , right parenthesisx+1=P1y+1·12sin300y+1
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Expression 6: "x" minus 1 equals left parenthesis, "P" Subscript, 2 , Baseline left parenthesis, "y" , right parenthesis minus 1 , right parenthesis times 1 half left parenthesis, sin left parenthesis, 300 "y" , right parenthesis plus 1 , right parenthesisx−1=P2y−1·12sin300y+1
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Expression 7: "x" minus 3 equals left parenthesis, "P" Subscript, 3 , Baseline left parenthesis, "y" , right parenthesis minus 3 , right parenthesis times 1 half left parenthesis, sin left parenthesis, 300 "y" , right parenthesis plus 1 , right parenthesisx−3=P3y−3·12sin300y+1
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Expression 8: "r" left parenthesis, "x" , right parenthesis equals mod left parenthesis, 1000 times sin left parenthesis, 1000 "x" , right parenthesis , 1 , right parenthesisrx=mod1000·sin1000x,1