(a)
(i)y2x+y : Term with factor x - y2x Coefficient of x - y2
(ii) 13y2–8yx : Term with factor x - -8yx Coefficient of x -8y
(iii)x+y+2 : Term with factor x - x Coefficient of x - 1
(iv)5+z+zx : Term with factor x - zx Coefficient of x - z
(v) 1+x+xy : Term with factor x - x xy Coefficient of x - 1 y
(vi)12xy2+25 : Term with factor x - 12xy2 Coefficient of x - 12y2
(vii)7x+xy2 : Term with factor x - xy2 7x Coefficient of x - y27
(b)
(i)8– xy2 : Term contains y2 -xy2 Coefficient of y2-x
(ii)5y2+7x : Term contains y2-5y2 Coefficient of y2-5
(iii)2x2y–15xy2+7y2 : Term contains y2 -15xy2+7y2 Coefficient of y2 -15x7
If \( x, y \) are two positive integers such that \( x + y = 20 \) and the maximum value of \( x^3 y \) is \( k \) at \( x = a, y = \beta \), then \( \frac{k}{\alpha^2 \beta^2} = ? \)
Give first the step you will use to separate the variable and then solve the equation:
(a) x – 1 = 0
(b) x + 1 = 0
(c) x – 1 = 5
(d) x + 6 = 2
(e) y – 4 = – 7
(f) y – 4 = 4
(g) y + 4 = 4
(h) y + 4 = – 4