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###### (12 poiuts) Let f(T,4,2) =Fyz Compute thc following:(a) FI(EV,2) =(6)-The direction of Lhe fastest tte of iucrease at the poiut (4,1.4)The nte of clnge of f in (hc dlitrtion F (1,2cmi(Vf)=V * Vfpitts) Sckrt thtc corrcl acfiuitlon ft (u Fth c() to he flow ltna of tha vextur fickl F ou * with Initinl value c(O) (To Vo= (A) e() = F(c()) with c(o) (fo Uin 2u)(1) c() = F(c()) with c(0) (ro, {, #0)(C) *"() F(c(t)) with c() (ro; I,%

(12 poiuts) Let f(T,4,2) =Fyz Compute thc following: (a) FI(EV,2) = (6)-The direction of Lhe fastest tte of iucrease at the poiut (4,1.4) The nte of clnge of f in (hc dlitrtion F (1,2 cmi(Vf)=V * Vf pitts) Sckrt thtc corrcl acfiuitlon ft (u Fth c() to he flow ltna of tha vextur fickl F ou * with Initinl value c(O) (To Vo= (A) e() = F(c()) with c(o) (fo Uin 2u) (1) c() = F(c()) with c(0) (ro, {, #0) (C) *"() F(c(t)) with c() (ro; I,%

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