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A polynomial satisfies the following relation f(x).f(1/x)= f(x)+f(1/x). f(2) = 33. fIND f(3)Ans) The required polynomial is x^5 +1.This polynomial satisfies the condition stated above.Therefore, f[3] = 244.
if Sn =3n²+n, find the A.P.
1. Use mathematical induction to prove whenever n is a positive integer. 2. Use loop invariant to prove that the program for computing the sum of 1,...,n is correct.
R is called as a transitive relation if (a, b) € R, (b, c) € R → (a, c) € R In other terms if a belongs to b, b belongs to c, then a belongs to c. Transitivity be uns
Factoring Out a Common Monomial Factor? Say you have a polynomial, like 3x 4 y - 9x 3 y + 12x 2 y2 z and you want to factor it. Your first step is always to look for t
A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.
number of ways that a mixed doubles tennis game can be arranged from 7 couples if no husband and wife play in the same game is??
Find the volume of a right circular cylinder: Calculate the volume and surface area of a right circular cylinder along with r = 3" and h = 4". Solution: V = πr 2
A box contains 12 balls out of which x are black. If one ball is drawn at random from the box, what is the probability that it will be a black ball? If 6 more black balls are put i
ABC is a right angled triangle in which ∠A = 900. Find the area of the shaded region if AB = 6 cm, BC=10cm & I is the centre of the Incircle of ?ABC. Ans: ∠A =90 0 BC
Steps for Alternating Series Test Suppose that we have a series ∑a n and either a n = (-1) n b n or a n = (-1) n+1 b n where b n > 0 for all n. Then if, 1.
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