Expression 13: cosine left parenthesis, "f" "d" Subscript, 1 , Baseline left parenthesis, "A" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesis minus 4 left brace, 0 less than or equal to "x" less than or equal to pi , right bracecosfd1A0x−40≤x≤π
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Expression 14: "d" Subscript, "g" 1 , Baseline left parenthesis, "a" , right parenthesis equals "R" left parenthesis, "a" , right parenthesis left parenthesis, StartFraction, pi Over 2 , EndFraction minus "a" , right parenthesisdg1a=Raπ2−a
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Expression 15: cosine left parenthesis, "f" "d" Subscript, "g" 1 , Baseline left parenthesis, "A" Subscript, 0 , Baseline left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesis minus 6 left brace, 0 less than or equal to "x" less than or equal to pi , right bracecosfdg1A0x−60≤x≤π
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Expression 16: "n" left parenthesis, "a" , right parenthesis equals StartRoot, left parenthesis, StartFraction, cos left parenthesis, "a" , right parenthesis Over "R" Subscript, "x" , Baseline , EndFraction , right parenthesis squared plus left parenthesis, StartFraction, sin left parenthesis, "a" , right parenthesis Over "R" Subscript, "y" , Baseline , EndFraction , right parenthesis squared , EndRootna=cosaRx2+sinaRy2
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Expression 17: "l" Subscript, 1 , Baseline left parenthesis, "a" , right parenthesis equals Start integral from 0 to "a" , end integral, StartRoot, left parenthesis, "R" Subscript, "x" , Baseline sin left parenthesis, "a" Subscript, 0 , Baseline , right parenthesis , right parenthesis squared plus left parenthesis, "R" Subscript, "y" , Baseline cos left parenthesis, "a" Subscript, 0 , Baseline , right parenthesis , right parenthesis squared , EndRoot "d" "a" Subscript, 0 , Baselinel1a=∫a0Rxsina02+Rycosa02da0
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Expression 18: "A" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "l" to the negative 1st power left parenthesis, "x" , right parenthesisA1x=l−11x
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Expression 19: "C" left parenthesis, "a" , right parenthesis equals StartFraction, "R" Subscript, "x" , Baseline "R" Subscript, "y" , Baseline Over left parenthesis, left parenthesis, "R" Subscript, "x" , Baseline sin left parenthesis, "a" , right parenthesis , right parenthesis squared plus left parenthesis, "R" Subscript, "y" , Baseline cos left parenthesis, "a" , right parenthesis , right parenthesis squared , right parenthesis Superscript, 3 halves , Baseline , EndFractionCa=RxRyRxsina2+Rycosa232
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Expression 20: "R" left parenthesis, "a" , right parenthesis equals StartFraction, 1 Over "C" left parenthesis, "a" , right parenthesis , EndFractionRa=1Ca
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Expression 22: "R" Subscript, "x" , Baseline equals 2Rx=2