Expression 30: "N" Subscript, 1 , Baseline equals "E" Subscript, 1 , Baseline plus StartFraction, 2cos theta Subscript, 1 , Baseline Over 4 , EndFractionN1=E1+2cosθ14
equals=
5.4 9 5 2 5 6 4 3 3 5 45.49525643354
30
Expression 31: "N" Subscript, 2 , Baseline equals "E" Subscript, 2 , Baseline plus StartFraction, 2sin theta Subscript, 1 , Baseline Over 4 , EndFractionN2=E2+2sinθ14
equals=
0.4 6 4 7 7 9 9 4 8 1 1 20.464779948112
31
Expression 32: theta Subscript, 1 , Baseline equals tangent to the negative 1st power StartFraction, "s" Over "s" minus "E" Subscript, 1 , Baseline , EndFraction plus 45θ1=tan−1ss−E1+45
equals=
111.6 3 3 6 8 5 5 2 2111.633685522
32
Graphs
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33
Expression 34: "y" less than 25y<25
34
Expression 35: left parenthesis, "M" Subscript, 1 , Baseline plus "R" cos "t" , "M" Subscript, 2 , Baseline plus "R" sin "t" , right parenthesisM1+Rcost,M2+Rsint
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 360360
35
Expression 36: left parenthesis, "N" Subscript, 1 , Baseline minus StartFraction, 2 "t" cos left parenthesis, theta Subscript, 1 , Baseline plus 45 , right parenthesis Over 4 StartRoot, 2 , EndRoot , EndFraction , "N" Subscript, 2 , Baseline minus StartFraction, 2 "t" sin left parenthesis, theta Subscript, 1 , Baseline plus 45 , right parenthesis Over 4 StartRoot, 2 , EndRoot , EndFraction , right parenthesisN1−2tcosθ1+4542,N2−2tsinθ1+4542
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
36
Expression 37: left parenthesis, "N" Subscript, 1 , Baseline minus StartFraction, 2 "t" cos left parenthesis, theta Subscript, 1 , Baseline minus 45 , right parenthesis Over 4 StartRoot, 2 , EndRoot , EndFraction , "N" Subscript, 2 , Baseline minus StartFraction, 2 "t" sin left parenthesis, theta Subscript, 1 , Baseline minus 45 , right parenthesis Over 4 StartRoot, 2 , EndRoot , EndFraction , right parenthesisN1−2tcosθ1−4542,N2−2tsinθ1−4542
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
37
Expression 38: "y" equals "f" prime left parenthesis, "E" Subscript, 1 , Baseline , right parenthesis left parenthesis, "x" minus "E" Subscript, 1 , Baseline , right parenthesis plus "f" left parenthesis, "E" Subscript, 1 , Baseline , right parenthesis left brace, 0 less than or equal to "x" less than or equal to "s" , right brace left brace, "y" less than or equal to "s" , right bracey=f′E1x−E1+fE10≤x≤sy≤s
38
Expression 39: polygon left parenthesis, "A" , "B" , "C" , "E" , "F" , "E" , "C" , "D" , right parenthesispolygonA,B,C,E,F,E,C,D
39
Expression 40: left parenthesis, "M" Subscript, 1 , Baseline plus "R" cos "t" , "M" Subscript, 2 , Baseline plus "R" sin "t" , right parenthesisM1+Rcost,M2+Rsint
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 360360
40
Expression 41: "f" left parenthesis, "x" , right parenthesisfx
