Question

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møy – xy2 (x,y) = (0,0) Question 5. (a) Let f (x, y) = x? + ya and show that 0. (x, y) = (0,0) fry (0,0) + fyx (0,0). az az (6) Let z = In (x2 + y2), x = s-t and y = s+t then express and as functions as at of s and t.

Answer 1

16) for (9. yy to looj giron flags- x?ty? 7 af an lim flathy - flny) ho h fruth, yok)-f(?,g+k) flarny)-fings 22f əyən lim has, kais ا K fixth, yok) - fen, Jok) - finth, ystfing lim hoxaso hk hk 0-0 to hao kao h²k² floth, 0+k) - 110,K) - f[h,0) at floo) him him fyl ora) ho to hk - hk3 hm lim h²k² hk lim lim hk ( h²k²) lim Lim hk (2²+k?) loin in JS1 fayloo) = Lim Laine (flash, o48) – f10,897fimo)+ floo) hk (h²4²) 11 hao kao ho kool hetk hoo hk lim kto Tez - - - um lin k to any hk (h²tK²) fry 19,0% af but fysłonal so not Equal ㅕ

Z= ml xty); X = S-t, J = s+t Ee se xe Ee se + Re Ee = () + 이 2x + 29 2(+) 용 2 은 2(S-t+st) (S-t) + S+t) As 2542 25 S4t az as 25 S²4t2 Similarly 22 əx ze 로은 쫊 은 + 물을 O 2계 t량 (1) 장 행지 213-1) 21st 장 2(542) 2t St2 ㅕ 로 한 2t 3+ t²
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