Expression 27: "x" squared plus "x" squared equals left parenthesis, "r" times tan StartFraction, pi Over 4 , EndFraction , right parenthesis squaredx2+x2=r·tanπ42
27
Expression 28: "x" squared equals StartFraction, left parenthesis, "r" times tan StartNestedFraction, pi NestedOver 4 , EndNestedFraction , right parenthesis squared Over 2 , EndFractionx2=r·tanπ422
28
Expression 29: "X" Subscript, 1 , Baseline equals StartFraction, "r" Over StartRoot, 2 , EndRoot , EndFractionX1=r2
equals=
2.4 7 4 8 7 3 7 3 4 1 52.47487373415
29
Alternative Solution 2
30
Expression 31: StartFraction, 2 "r" squared minus 4 "X" squared Over StartRoot, "r" squared minus "X" squared , EndRoot , EndFraction tilde 02r2−4X22r2−X22~0
31
Replace x₀ by x₁
32
in order to obtain maximum area.
33
Sides and Area of Rectangle
Hide this folder from students.
34
Expression 35: "x" Subscript, 0 , Baseline equals 1.8 7x0=1.87
00
3.53.5
35
Expression 36: "A" Subscript, "r" "e" "a" , Baseline equals StartFraction, round left parenthesis, "g" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis times 10 Superscript, "d" , Baseline , right parenthesis Over 10 Superscript, "d" , Baseline , EndFractionArea=roundgx0·10d10d
equals=
11.0 6 5 0 2 911.065029
36
Expression 37: "A" Subscript, "r" "e" "a" "M" "a" "x" , Baseline equals StartFraction, round left parenthesis, "g" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis times 10 Superscript, "d" , Baseline , right parenthesis Over 10 Superscript, "d" , Baseline , EndFractionAreaMax=roundgx1·10d10d
equals=
12.2 512.25
37
Expression 38: "r" squaredr2
equals=
12.2 512.25
38
Expression 39: "H" Subscript, "o" "r" "i" "z" "o" "n" "t" "a" "l" "S" "i" "d" "e" , Baseline equals "x" Subscript, 0 , BaselineHorizontalSide=x0
equals=
1.8 71.87
39
Expression 40: "V" Subscript, "e" "r" "t" "i" "c" "a" "l" "S" "i" "d" "e" , Baseline equals "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesisVerticalSide=fx0
equals=
2.9 5 8 5 6 3 8 4 0 7 82.95856384078
40
Rectangle
Hide this folder from students.
41
Tangent
Hide this folder from students.
47
Points
Hide this folder from students.
50
59
powered by
powered by
Start black, left parenthesis, "x" Subscript, 0 , Baseline ; "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis , right parenthesis End blackx0;fx0
Start black, "A" "r" "e" "a" equals "g" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis equals 2 "x" Subscript, 0 , Baseline times "f" left parenthesis, "x" Subscript, 0 , Baseline , right parenthesis equals 11.0 6 5 0 2 9 "m" squared End blackArea=gx0=2x0·fx0=11.065029m2
"M" "a" "x" "a" "r" "e" "a" equals "r" squared equals 2 "x" Subscript, 1 , Baseline times "f" left parenthesis, "x" Subscript, 1 , Baseline , right parenthesis equals 12.2 5 "m" squaredMaxarea=r2=2x1·fx1=12.25m2
Start black, "R" "a" "d" "i" "u" "s" : 3.5 "m" End blackRadius:3.5m
