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La z(x, y) vaere funksjonen som er implisitt definert ved likningen F(x, y, z) = 4x + 3y + 3z + 2 cos(3z) +4 =

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La z(x, y) vaere funksjonen som er implisitt definert ved likningen F(x, y, z) = 4x + 3y + 3z + 2 cos(3z) +4 = 0 i en omegn om punktet p = ( 1, W/A w / y Beregn azip. oxdy Svaret skal vaere et rasjonalt tall. Teoretisk bakgrunn: Siden az | * 0 gir det implisitte funksjonsteorem (s. laereboka) at at losningen pa likningen F(x,y,z) = 0 i en omegn om p kan skri (x, y, z(x, y)). Det er denne funksjonen z(x, y) oppgaven dreier seg om. D finne et eksplisitt uttrykk for z(x, y) for a lose oppgaven

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