find the number of combinations of choosing 2 cubes from the 5 cubes.

Find the number of combinations of choosing 2 cubes from the 5 cubes. => 56 or 25 or 72 or 10..

If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4 ,. ar..

where 2n p + 0 is the general amplitude. when n=0, z = cos 0 + i sin 0=1 \ The cube roots of unity are which are usually denoted by 1, w, w 2 ..

If x be numerically so small that its cube and higher powers may be neglected, then find the binomial expansions for: i) (1 + 2x) - 4 ..

Question: Show that the sum of the cubes of any number of consecutive integers is divisible by the sum of those integers. Answer: Let the consecutive integers be (n + 1), (n + 2), (n + 3),....,(n + m) Sum of the cubes of integers = S 1 ..

of (a + b) n and is given by - If n is an odd natural number, then there are two middle terms in the expansion of (a + b)n and are given by i) The sum of all binomial coefficients in the expansion of (1+x) n is 2 n . ii) The sum of all even binomial coefficients in the..

radius = ..

If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..

Question: Find the first four terms of the sequence 4 + 5n. Which term of the sequence is 99? Answer: When n = 1, t 1 = 4+5(1) = 9. When n = 2, t 2 = 4+5(2) = 14 When n = 3, t 3 = 4+5(3) = 19. When n = 4, t 4 = ..

Question: If A = {2,3}, B = {3,4,5}, C = {3,4,6}, find Answer: ..