1. Find the smallest positive integer that is not a divisor of 31! 2. Find
1. Find the period and the equations of the asymptotes of the
1. Find the perimeter. ______ 2.
1. find the inverse of the following matrix A, if possible, check that A
1. Find the function y = f(x) and input value a for which the
1. Find the area of the parallelogram whose vertices are P(1, 1, 1), Q
1. Fault analysis of DC distribution system
1. Factor completely. (a) 2x3 + 3x2 − 2x − 3 (b) 2x3 +
1. Factor Common Factors: a. 30x + 4 Ans: 2(15x + 2)
1. f(x) = x +1 f g f g (x) = f(x) g(x) , provided g(x) ≠ 0.
1. Express as a single fraction: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (k) (l
1. Evaluate the following limits: (a) lim x2 + 3x - x (b) lim ln(1
1. ELEMENTARY PROPERTIES
1. Divisors Let X be a complete non-singular curve. Definition 1.1. A
1. Divisiblity Number theo
1. Direct products and finitely generated abelian groups We would
1. Derivatives for trigonometric functions We have almost completed
1. cos x)(cot x) 1 in x)(1 ( = ( − s + 1 ) 2. + = csc θ 2
1. Consider the function f : N × N → N × N defined by f
1. Complex numbers A complex number z is defined as an ordered
