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hw5_soln

# hw5_soln - C D â‰ x y âˆˆ E 2 x = y C = D x y âˆˆ D Â¯ S â‰...

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p d = C Dq p s = A + Bq p d = p s C Dq = A + Bq q = C A B + D . q p = C Dq = C D C A B + D = AD + BC B + D . = 1 2 q ( C p )= 1 2 × C A B + D × DC AD B + D = 1 2 D ° C A B + D ± 2 = 1 2 q ( p A )= 1 2 × C A B + D × BC BA B + D = 1 2 B ° C A B + D ± 2 t p d =(1+ t ) p s C Dq = (1 + t )( A + Bq ) q = C (1 + t ) A D +(1+ t ) B . q p s ( q )= A + Bq = A + B C (1+ t ) A D +(1+ t ) B = AD + BC (1+ t ) B + D . p =(1+ t ) p s ( q )= (1 + t )( AD + BC ) (1 + t ) B + D . =( p d ( q ) p s ( q )) q = t ( AD + BC ) (1+ t ) B + D × C (1+ t ) A D +(1+ t ) B = 1 2 q ( C p d ( q )) = 1 2 × C (1+ t ) A (1+ t ) B + D × DC (1+ t ) AD (1+ t ) B + D = 1 2 D ² C (1+ t ) A (1+ t ) B + D ³ 2 = 1 2 q ( p s ( q ) A )= 1 2 × C (1+ t ) A (1+ t ) B + D × ² AD + BC (1+ t ) B + D A ³ = 1 2 B ² C (1+ t ) A (1+ t ) B + D ³ 2 = 1 2 × t ( AD + BC ) (1+ t ) B + D × ² C A B + D C (1+ t ) A D +(1+ t ) B ³ = t 2 2( B + D ) ² AD + BC (1+ t ) B + D ³ 2 p d = q 1 2 p s = A p d = p s = A q 1 2 = A q = A 2 p = A ´ A p 2 d p = p 1 ] A = A 1

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p d = q 1 2 p s = A p d =(1+ t ) p s =(1+ t ) A q 1 2 = (1 + t ) A q =[(1+ t ) A ] 2 p =(1+ t ) A ( p d ( q ) p s ( q )) q = tA [(1 + t ) A ] 2 = t (1+ t ) 2 A ´ (1+ t ) A p 2 d p = p 1 ] (1+ t ) A =[(1+ t ) A ] 1 = ´ (1+ t ) A A p 2 p t (1+ t ) 2 A = p 1 ] (1+ t ) A A t (1+ t ) 2 A = t (1+ t ) A t (1+ t ) 2 A = ° t 1+ t ± 2 1 A E ≡{ ( x, y ) R 2 :0 x 200 , 0 y 100
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Unformatted text preview: } C D â‰¡ { ( x, y ) âˆˆ E : 2 x = y } C = D ( x , y ) âˆˆ D Â¯ S â‰¡ { ( x, y ) âˆˆ E : x â‰¥ x , y â‰¥ y } Â¯ J â‰¡ { ( x, y ) âˆˆ E : 3 x + 4 y â‰¥ 3 x + 4 y } Â¯ S âˆ© Â¯ J = ( x , y ) ( x , y ) âˆˆ D D âŠ‚ C ( x , y ) âˆˆ E \ D E \ D âŠ‚ E \ C C âŠ‚ D ( p H , p C ) = Â° 4 3 , 1 Â± p C = 1 Â°Â° x S H , x S C Â± , Â° x J H , x J C Â±Â± = ((40 , 80) , (60 , 120))...
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hw5_soln - C D â‰ x y âˆˆ E 2 x = y C = D x y âˆˆ D Â¯ S â‰...

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