(a) Assume that the given equation defines z implicitly as a differentiable function of dz əz x and y and determine and

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(a) Assume that the given equation defines z implicitly as a differentiable function of dz əz x and y and determine and if 32² - 2xy²z + 4x²y = 6 [4] by ax (b) Let f.g and h be continuous functions such that their partial derivatives with respect a(f-g, h) af. h) to u and vall exist. Show that [4] a(u.v) 8(u,v) (c) A curve C is represented by parametric equations x(8) = 2 sec @ y(0) = 2 + tan 8 Find the Cartesian (rectangular) equation of C a(g. h) (u, v) [4]