Expression 22: "g" left parenthesis, "x" , right parenthesis equals StartRoot, 1 squared minus left parenthesis, "x" minus "D" Subscript, 1 , Baseline , right parenthesis squared , EndRoot plus "D" Subscript, 2 , Baselinegx=12−x−D12+D2
22
Expression 23: "f" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisf1x=f′x0x−x0+fx0
23
Expression 24: "g" Subscript, 1 , Baseline left parenthesis, "x" , right parenthesis equals StartFraction, negative 1 Over "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , EndFraction left parenthesis, "x" minus "x" Subscript, 0 , Baseline , right parenthesis plus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisg1x=−1f′x0x−x0+fx0
24
Expression 25: "h" left parenthesis, "x" , right parenthesis equals StartFraction, negative 1 Over "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , EndFraction left parenthesis, "x" minus "D" Subscript, 1 , Baseline , right parenthesis plus "D" Subscript, 2 , Baselinehx=−1f′x0x−D1+D2
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Expression 26: "f" Subscript, 1 , Baseline left parenthesis, "K" Subscript, 1 , Baseline , right parenthesis tilde "g" Subscript, 1 , Baseline left parenthesis, "K" Subscript, 1 , Baseline , right parenthesisf1K1~g1K1
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Expression 27: "K" Subscript, 2 , Baseline equals "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis left parenthesis, "K" Subscript, 1 , Baseline minus "x" Subscript, 0 , Baseline , right parenthesis plus "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisK2=f′x0K1−x0+fx0
equals=
2.8 2 2 8 7 5 6 5 5 5 32.82287565553
27
Expression 28: "f" Subscript, 1 , Baseline left parenthesis, "T" Subscript, 1 , Baseline , right parenthesis tilde "h" left parenthesis, "T" Subscript, 1 , Baseline , right parenthesisf1T1~hT1
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Expression 29: "T" Subscript, 2 , Baseline equals StartFraction, negative 1 Over "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , EndFraction left parenthesis, "T" Subscript, 1 , Baseline minus "D" Subscript, 1 , Baseline , right parenthesis plus "D" Subscript, 2 , BaselineT2=−1f′x0T1−D1+D2
equals=
0.2 9 4 2 8 1 0 8 6 1 1 90.294281086119
29
Expression 30: "L" Subscript, 1 , Baseline equals "B" Subscript, 1 , Baseline plus 5 quarters left parenthesis, "K" Subscript, 1 , Baseline minus "B" Subscript, 1 , Baseline , right parenthesisL1=B1+54K1−B1
equals=
4.7 7 8 5 9 4 5 6 9 4 14.77859456941
30
Expression 31: "L" Subscript, 2 , Baseline equals "B" Subscript, 2 , Baseline plus 5 quarters left parenthesis, "K" Subscript, 2 , Baseline minus "B" Subscript, 2 , Baseline , right parenthesisL2=B2+54K2−B2
equals=
2.5 2 8 5 9 4 5 6 9 4 12.52859456941
31
Graphs
Hide this folder from students.
32
Expression 33: polygon left parenthesis, "A" , "B" , "C" , right parenthesispolygonA,B,C
33
Expression 34: polygon left parenthesis, "D" , "E" , "F" , right parenthesispolygonD,E,F
34
Expression 35: polygon left parenthesis, "A" , "B" , "C" , "D" , right parenthesispolygonA,B,C,D
35
Expression 36: left parenthesis, "B" Subscript, 1 , Baseline plus 4cos "t" , "B" Subscript, 2 , Baseline plus 4sin "t" , right parenthesisB1+4cost,B2+4sint
domain t Minimum: negative 90−90
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 00
36
Expression 37: left parenthesis, "B" Subscript, 1 , Baseline plus 4cos "t" , "B" Subscript, 2 , Baseline plus 4sin "t" , right parenthesisB1+4cost,B2+4sint
domain t Minimum: negative 90−90
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 00
37
Expression 38: left parenthesis, "D" Subscript, 1 , Baseline plus 1cos "t" , "D" Subscript, 2 , Baseline plus 1sin "t" , right parenthesisD1+1cost,D2+1sint
domain t Minimum: 9090
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 180180
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Expression 39: left parenthesis, "D" Subscript, 1 , Baseline plus 1cos "t" , "D" Subscript, 2 , Baseline plus 1sin "t" , right parenthesisD1+1cost,D2+1sint
domain t Minimum: 9090
less than or equal to "t" less than or equal to≤t≤
domain t Maximum: 180180
39
Hidden Label: left parenthesis, "B" Subscript, 1 , Baseline , "B" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "L" Subscript, 1 , Baseline , "L" Subscript, 2 , Baseline , right parenthesisB1,B2,L1,L2
Label
equals=
left parenthesis, 0 , 4 , right parenthesis0,4
left parenthesis, 4.7 7 9 , 2.5 2 9 , right parenthesis4.779,2.529
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Hidden Label: left parenthesis, "D" Subscript, 1 , Baseline , "D" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "L" Subscript, 1 , Baseline , "L" Subscript, 2 , Baseline , right parenthesisD1,D2,L1,L2
Label
equals=
left parenthesis, 4 , 0 , right parenthesis4,0
left parenthesis, 4.7 7 9 , 2.5 2 9 , right parenthesis4.779,2.529
41
Hidden Label: left parenthesis, "B" Subscript, 1 , Baseline , "B" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "D" Subscript, 1 , Baseline , "D" Subscript, 2 , Baseline , right parenthesisB1,B2,D1,D2
Label
equals=
left parenthesis, 0 , 4 , right parenthesis0,4
left parenthesis, 4 , 0 , right parenthesis4,0
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Hidden Label: left parenthesis, "T" Subscript, 1 , Baseline , "T" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "D" Subscript, 1 , Baseline , "D" Subscript, 2 , Baseline , right parenthesisT1,T2,D1,D2
Label
equals=
left parenthesis, 3.0 4 4 , 0.2 9 4 3 , right parenthesis3.044,0.2943