Expression 28: "x" squared tangent squared alpha plus StartFraction, "h" squared Over 4 , EndFraction minus "h" "x" tangent alpha equals "r" squared minus "x" squared minus StartFraction, "w" squared Over 4 , EndFraction plus "w" "x"x2tan2α+h24−hxtanα=r2−x2−w24+wx
28
Expression 29: "x" squared plus "x" squared tangent squared alpha minus "w" "x" minus "h" "x" tangent alpha plus StartFraction, "h" squared plus "w" squared Over 4 , EndFraction minus "r" squared equals 0x2+x2tan2α−wx−hxtanα+h2+w24−r2=0
29
Expression 30: left parenthesis, 1 plus tan squared alpha , right parenthesis "x" squared minus left parenthesis, "w" plus "h" tan alpha , right parenthesis "x" plus StartFraction, "h" squared plus "w" squared Over 4 , EndFraction minus "r" squared equals 01+tan2αx2−w+htanαx+h2+w24−r2=0
30
Expression 31: "A" equals 1 plus tangent squared alphaA=1+tan2α
equals=
1.6 4 0 6 8 0 0 8 9 1 11.64068008911
31
Expression 32: "B" equals negative left parenthesis, "w" plus "h" tan alpha , right parenthesisB=−w+htanα
equals=
negative 4.2 0 0 6 3 7 4 1 4 2 5−4.20063741425
32
Expression 33: "C" equals StartFraction, "h" squared plus "w" squared Over 4 , EndFraction minus "r" squaredC=h2+w24−r2
equals=
negative 2.2 5−2.25
33
Expression 34: "x" Subscript, 1 , Baseline equals StartFraction, negative "B" minus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFractionx1=−B−B2−4AC2A
equals=
negative 0.4 5 4 8 3 2 8 2 0 1 1 9−0.454832820119
34
Expression 35: "x" Subscript, 2 , Baseline equals StartFraction, negative "B" plus StartRoot, "B" squared minus 4 "A" "C" , EndRoot Over 2 "A" , EndFractionx2=−B+B2−4AC2A
Expression 40: theta Subscript, 1 , Baseline equals left bracket, left parenthesis, "X" minus StartFraction, "w" Over 2 , EndFraction , right parenthesis squared plus left parenthesis, "Y" minus StartFraction, "h" Over 2 , EndFraction , right parenthesis squared , "X" squared plus "Y" squared , "Y" , right bracketθ1=X−w22+Y−h22,X2+Y2,Y
equals=
5.0 6 2 55.0625
14.9 1 5 4 9 0 4 4 0 614.9154904406
2.4 1 3 3 8 9 5 5 5 4 62.41338955546
40
Expression 41: theta Subscript, 2 , Baseline equals left bracket, "r" squared , "l" squared , tan left parenthesis, alpha , right parenthesis times "X" left brace, "l" greater than "r" , right brace , right bracketθ2=r2,l2,tanα·Xl>r
equals=
5.0 6 2 55.0625
14.9 1 5 4 9 0 4 4 0 614.9154904406
2.4 1 3 3 8 9 5 5 5 4 62.41338955546
41
Rektangler ( linjestykker )
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42
Expression 43: "k" equals left bracket, negative 1 , 1 , right bracketk=−1,1
2 element list
43
Expression 44: left parenthesis, "x" Subscript, 1 , Baseline minus StartFraction, "w" Over 2 , EndFraction plus "w" "t" , "y" Subscript, 1 , Baseline plus "k" StartFraction, "h" Over 2 , EndFraction , right parenthesisx1−w2+wt,y1+kh2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
44
Expression 45: left parenthesis, "x" Subscript, 1 , Baseline minus "k" StartFraction, "w" Over 2 , EndFraction , "y" Subscript, 1 , Baseline minus StartFraction, "h" Over 2 , EndFraction plus "h" "t" , right parenthesisx1−kw2,y1−h2+ht
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
45
Expression 46: left parenthesis, "x" Subscript, 2 , Baseline minus StartFraction, "w" Over 2 , EndFraction plus "w" "t" , "y" Subscript, 2 , Baseline plus "k" StartFraction, "h" Over 2 , EndFraction , right parenthesisx2−w2+wt,y2+kh2
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
46
Expression 47: left parenthesis, "x" Subscript, 2 , Baseline minus "k" StartFraction, "w" Over 2 , EndFraction , "y" Subscript, 2 , Baseline minus StartFraction, "h" Over 2 , EndFraction plus "h" "t" , right parenthesisx2−kw2,y2−h2+ht
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
47
Expression 48: left parenthesis, "t" "r" cos alpha , "t" "r" sin alpha , right parenthesistrcosα,trsinα
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
48
Expression 49: left parenthesis, "x" Subscript, 2 , Baseline plus left parenthesis, "r" cos alpha minus "x" Subscript, 2 , Baseline , right parenthesis "t" , "y" Subscript, 2 , Baseline plus left parenthesis, "r" sin alpha minus "y" Subscript, 2 , Baseline , right parenthesis "t" , right parenthesisx2+rcosα−x2t,y2+rsinα−y2t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
49
Expression 50: left parenthesis, "x" Subscript, 1 , Baseline "t" , "y" Subscript, 1 , Baseline "t" , right parenthesisx1t,y1t
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
50
Expression 51: left parenthesis, "t" "r" cos StartFraction, 3 pi Over 4 , EndFraction , "t" "r" sin StartFraction, 3 pi Over 4 , EndFraction , right parenthesistrcos3π4,trsin3π4
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
51
Hjælpelinjer
Hide this folder from students.
52
Expression 53: left parenthesis, StartFraction, "w" Over 2 , EndFraction "t" , StartFraction, "h" Over 2 , EndFraction "t" left brace, "D" Subscript, "o" "t" "t" "e" "d" , Baseline equals 1 , right brace , right parenthesisw2t,h2tDotted=1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
53
Expression 54: left parenthesis, StartFraction, "w" Over 2 , EndFraction "t" , 0 left brace, "D" Subscript, "o" "t" "t" "e" "d" , Baseline equals 1 , right brace , right parenthesisw2t,0Dotted=1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
54
Expression 55: left parenthesis, StartFraction, "w" Over 2 , EndFraction , StartFraction, "h" Over 2 , EndFraction "t" left brace, "D" Subscript, "o" "t" "t" "e" "d" , Baseline equals 1 , right brace , right parenthesisw2,h2tDotted=1
00
domain t Minimum:
less than or equal to "t" less than or equal to≤t≤
11
domain t Maximum:
55
Punkter
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56
71
powered by
powered by
Start black, "r" equals 2.2 5 End blackr=2.25
Start black, left parenthesis, "x" Subscript, 1 , Baseline ; "y" Subscript, 1 , Baseline , right parenthesis End blackx1;y1
Start black, left parenthesis, "x" Subscript, 2 , Baseline ; "y" Subscript, 2 , Baseline , right parenthesis End blackx2;y2
Start black, "h" equals 1.5 End blackh=1.5
Start black, "w" equals 3 End blackw=3
Start black, left parenthesis, StartFraction, "w" Over 2 , EndFraction ; StartFraction, "h" Over 2 , EndFraction , right parenthesis End blackw2;h2
