Expression 11: "F" left parenthesis, "x" , right parenthesis equals left brace, StartAbsoluteValue, "x" , EndAbsoluteValue greater than StartAbsoluteValue, "b" , EndAbsoluteValue : "f" left parenthesis, "x" , right parenthesis , max left parenthesis, "f" left parenthesis, "x" , right parenthesis , "h" minus StartAbsoluteValue, "m" , EndAbsoluteValue StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right braceFx=x>b:fx,maxfx,h−mx
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Expression 12: "g" left parenthesis, "x" , right parenthesis equals "f" prime left parenthesis, "x" , right parenthesisgx=f′x
12
Expression 13: "y" equals "h" minus StartFraction, "h" Over "r" , EndFraction StartAbsoluteValue, "x" , EndAbsoluteValue left brace, "y" greater than 0 , right bracey=h−hrxy>0
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Expression 14: "F" left parenthesis, "x" , right parenthesis greater than or equal to "y" greater than or equal to negative StartRoot, StartFraction, "r" squared minus "x" squared Over "a" squared , EndFraction , EndRootFx≥y≥−r2−x2a2
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h = ${h} left parenthesis, 0 , "h" , right parenthesis0,h
Label:
equals=
left parenthesis, 0 , 2 , right parenthesis0,2
15
r = ${r} left parenthesis, "r" , 0 , right parenthesisr,0
Label:
equals=
left parenthesis, 1 , 0 , right parenthesis1,0
16
Hidden Label: left parenthesis, negative "r" , 0 , right parenthesis−r,0
Label
equals=
left parenthesis, negative 1 , 0 , right parenthesis−1,0
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Expression 18: "V" equals 1 third pi "r" squared times "h"V=13πr2·h
equals=
2.0 9 4 3 9 5 1 0 2 3 92.09439510239
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Expression 19: "S" equals pi "r" StartRoot, "r" squared plus "h" squared , EndRoot plus pi "r" squaredS=πrr2+h2+πr2
equals=
10.1 6 6 4 0 7 3 8 4 610.1664073846
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Expression 20: "s" equals pi "r" StartRoot, "r" squared plus "h" squared , EndRoots=πrr2+h2