Expression 18: "f" left parenthesis, "x" , right parenthesis equals "R" plus "c" "e" Superscript, "k" "x" , Baseline left brace, "x" greater than or equal to 0 , right brace left brace, "T" minus "C" greater than 0 , right bracefx=R+cekxx≥0T−C>0
18
Expression 19: "y" equals "f" left parenthesis, "x" , right parenthesisy=fx
19
"x"x
"f" left parenthesis, "x" , right parenthesisfx
00
r1c2: 9090
r1c3:
22
r2c2: 83.7 6 6 3 7 183.766371
r2c3:
44
r3c2: 78.0 8 7 8 5 778.087857
r3c3:
66
r4c2: 72.9 1 5 0 2 672.915026
r4c3:
88
r5c2: 68.2 0 2 8 4 568.202845
r5c3:
1010
r6c2: 63.9 1 0 2 9 363.910293
r6c3:
1212
r7c2: 6060
r7c3:
20 more rows
5454
r28c2: 25.6 4 1 9 1 925.641919
r28c3:
5656
r29c2: 25.1 3 9 4 9 525.139495
r29c3:
5858
r30c2: 24.6 8 1 8 1 424.681814
r30c3:
6060
r31c2: 24.2 6 4 8 924.26489
r31c3:
r32c2:
r32c3:
20
Tangent and horizontal Line Segment
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21
Expression 22: "x" Subscript, 0 , Baseline equals 0x0=0
00
120120
22
Expression 23: "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisfx0
equals=
9090
23
Expression 24: "f" prime left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisf′x0
equals=
negative 3.2 6 4 4 2 5 4 2 9 6 2−3.26442542962
24
Expression 25: "y" 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 parenthesisy=f′x0x−x0+fx0
25
Expression 26: "y" equals "R" left brace, "x" greater than or equal to 0 , right bracey=Rx≥0
26
Points
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27
34
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Start black, left parenthesis, "x" Subscript, 1 , Baseline , "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis , right parenthesis equals ( 12 ; 60 ) End blackx1,fx1=(12;60)
Start black, left parenthesis, "x" Subscript, 0 , Baseline , "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis equals ( 0 ; 90 ) End blackx0,fx0=(0;90)