3. You are given the functions A = A (s, t, z), s= s(x, y, z),...

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3. You are given the functions A = A (s, t, z), s= s(x, y, z), t=t(x, y, z). Use A₂ for A(st,z) when s&t are being held constant, and Ag for JA(x,y,z) in which x & y are being held constant. dz dz = JA(s(x,y,z),t(x,y,z).2) dz (a) Calculate all the first partial derivatives of A with respect to x, y & z using the chain rule. (b) Calculate Axy and Azz using the chain rule. 3. You are given the functions A = A (s, t, z), s= s(x, y, z), t=t(x, y, z). Use A₂ for A(st,z) when s&t are being held constant, and Ag for JA(x,y,z) in which x & y are being held constant. dz dz = JA(s(x,y,z),t(x,y,z).2) dz (a) Calculate all the first partial derivatives of A with respect to x, y & z using the chain rule. (b) Calculate Axy and Azz using the chain rule.

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