The cyclic rule is a sometimes useful identity that applies to the situation in which three variables; x, y, and z are related to one another by a function, z = z(x, y). The rule is: (az/ax)(ax/ay)(ay/az) = -1 (cyclic rule) Show that the cyclic rule holds for. x4 + 2y²+ (1/2)z = 12

Let f(x) = 3x – 10 and g(x) be the function shown in the graph at right. Find the following: 2. a) (f + g)(3) b) (g – f)(-2) c) (fog)(4) d) (go f)(4) e) (f o f)(7) 12

Construct the addition table for Zs. Using this table, or otherwise, determine the following x in Zs: (i) x + [3] =[4] (ii) [4]+x= [2]

Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)