Question: Mathematics (a) Use the known relationship between the operators to prove that: (EZ + EZ) (1 + 4)2 = 2+4 [2.5 Marks] (b) From the

Mathematics

(a) Use the known relationship between the operators to prove that: (EZ + EZ) (1 + 4)2 = 2+4 [2.5 Marks] (b) From the table below, construct the forward difference table hence obtained using the Newton- Gregory interpolation formular, f (3.5). x O 1 2 3 4 5 f (x) 3 12 81 200 100 8 [5 Marks] (c) Classify the following PDEs (i) azu azu azu + 8x2 axdy dy2 = 0 (ii) Uxy - Uyy = 0 [2.5 Marks]

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