Expression 9: "b" Subscript, "b" "a" "l" "a" "n" "c" "e" , Baseline equals StartFraction, "x" Subscript, 1 , Baseline Over left parenthesis, "x" Subscript, 1 , Baseline plus "y" Subscript, 1 , Baseline , right parenthesis , EndFractionbbalance=x1x1+y1
equals=
0.8 5 9 1 8 7 3 4 4 8 7 10.859187344871
9
Expression 10: 4 "A" left parenthesis, "x" plus "y" , right parenthesis positive "D" equals 4 "A" "D" positive left parenthesis, StartFraction, "D" cubed Over 4 "x" "y" , EndFraction , right parenthesis left brace, "x" greater than or equal to 0 , right brace left brace, "y" greater than or equal to 0 , right brace4Ax+y+D=4AD+D34xyx≥0y≥0
10
Expression 11: "y" Subscript, "c" "u" "r" "v" "e" , Baseline left parenthesis, "x" , right parenthesis equals negative StartFraction, "x" Over 2 , EndFraction minus StartFraction, "s" Over 4 "A" , EndFraction plus "s" plus StartFraction, StartRoot, left parenthesis, 2 "A" "x" squared plus "s" "x" minus 4 "A" "s" "x" , right parenthesis squared plus 8 "A" "x" "s" cubed , EndRoot Over 4 "A" "x" , EndFraction left brace, "x" greater than 0 , right braceycurvex=−x2−s4A+s+2Ax2+sx−4Asx2+8Axs34Axx>0
11
Expression 12: "y" prime Subscript, "c" "u" "r" "v" "e" , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, left parenthesis, 1 minus 4 "A" , right parenthesis "s" "x" squared minus "x" StartRoot, "x" left parenthesis, 2 "A" "x" plus "s" , right parenthesis left parenthesis, 2 "A" left parenthesis, "x" minus 2 "s" , right parenthesis squared plus "s" "x" , right parenthesis , EndRoot plus 2 "A" "x" cubed minus 2 "s" cubed Over 2 "x" StartRoot, "x" left parenthesis, 2 "A" "x" plus "s" , right parenthesis left parenthesis, 2 "A" left parenthesis, "x" minus 2 "s" , right parenthesis squared plus "s" "x" , right parenthesis , EndRoot , EndFractiony′curvex=1−4Asx2−xx2Ax+s2Ax−2s2+sx+2Ax3−2s32xx2Ax+s2Ax−2s2+sx
12
`price: ${p}` left parenthesis, "x" Subscript, 1 , Baseline , "y" Subscript, 1 , Baseline , right parenthesisx1,y1
Étiquette:
equals=
left parenthesis, 6.8 9 9 7 times 10 to the 7th power , 1.1 3 0 8 times 10 to the 7th power , right parenthesis6.8997×107,1.1308×107
13
Expression 14: "D" equals StartFraction, 1 Over 3 times 2 Superscript, 1 third , Baseline , EndFraction times ( 432 "A" "x" squared "y" Subscript, 1 , Baseline plus StartRoot, 6912 ( 4 "A" minus 1 ) cubed "x" cubed "y" cubed plus ( 432 "A" "x" squared "y" Subscript, 1 , Baseline plus 432 "A" "x" Subscript, 1 , Baseline "y" squared ) squared , EndRoot plus 432 "A" "x" Subscript, 1 , Baseline "y" squared ) Superscript, 1 third , Baseline minus ( 4 times 2 Superscript, 1 third , Baseline ( 4 "A" minus 1 ) "x" Subscript, 1 , Baseline "y" Subscript, 1 , Baseline ) / ( 432 "A" "x" squared "y" Subscript, 1 , Baseline plus StartRoot, ( 6912 ( 4 "A" minus 1 ) cubed "x" cubed "y" cubed plus ( 432 "A" "x" squared "y" Subscript, 1 , Baseline plus 432 "A" "x" Subscript, 1 , Baseline "y" squared ) squared ) , EndRoot plus 432 "A" "x" Subscript, 1 , Baseline "y" squared ) Superscript, 1 third , BaselineD=13·213·(432Ax21y1+6912(4A−1)3x31y31+(432Ax21y1+432Ax1y21)2+432Ax1y21)13−(4·213(4A−1)x1y1)/(432Ax21y1+(6912(4A−1)3x31y31+(432Ax21y1+432Ax1y21)2)+432Ax1y21)13
equals=
80261936.2 6 6 680261936.2666
14
Expression 15: "s" equals StartFraction, "D" Over 2 , EndFractions=D2
equals=
40130968.1 3 3 340130968.1333
15
Expression 16: "m" equals "y" prime Subscript, "c" "u" "r" "v" "e" , Baseline left parenthesis, "x" Subscript, 1 , Baseline , right parenthesism=y′curvex1
equals=
negative 0.9 9 3 9 1 9 5 0 4 6 8−0.99391950468
16
Expression 17: "p" equals negative "m"p=−m
equals=
0.9 9 3 9 1 9 5 0 4 6 80.99391950468
17
Expression 18: "y" minus "y" Subscript, 1 , Baseline equals "m" left parenthesis, "x" minus "x" Subscript, 1 , Baseline , right parenthesis left brace, "x" greater than 0 , right brace left brace, "y" greater than 0 , right bracey−y1=mx−x1x>0y>0