Assignment 7 solutions

5 y 0 x0 y 5 x5 y 1 x1 y 5 x1 y 1

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Unformatted text preview: � � � � t=� � � � � � � � � � � � � ⎤ 1 2 2 3 3 4 4 6 7 7 8 8 10 11 11 13 2 7 3 8 4 9 5 7 11 8 12 9 11 14 12 14 6 6 7 7 8 8 9 10 10 11 11 12 13 13 14 15 ⎜ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎢ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 � � � � � � � � � � b=� � � � � � � � � ⎤ 1 2 3 4 5 6 9 10 12 13 14 15 ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎡ ⎢ ⎜ 3 3.6, Problem 9. The square drawn below has 8 nodes rather than the usual 9 for biquadratic Q 2 . Therefore we remove the x2 y 2 term and keep U = a1 + a2 x + a3 y + a4 x2 + a5 xy + a6 y 2 + a7 x2 y + a8 xy 2 . Find the λ(x, y ) which equals 1 at x = y = 0 and zero at all...
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