number theory, Mathematics

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Given x+1/x=2cosy then find x^n +1/x^n, Here we know x can only be 1 or -1...

Here we know x can only be 1 or -1. so if it is 1 ans is 2. if x is -1, for n even ans will be 2 if x is -1 and n is odd ans will ne -2. so we can see evenfor negative x also an

Find the determinant and inverse matrix, Find the Determinant and Inverse M...

Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u

Algebra, 25 algebraic equations that equal 36

25 algebraic equations that equal 36

Test of homogeneity , Test of homogeneity This is concerned along with...

Test of homogeneity This is concerned along with the proposition that several populations are homogenous along with respect to some characteristic of interest for example; one

Higher-order derivatives, Higher-Order Derivatives It can be se...

Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative

Prove that a tree with n vertices has n - 1 edges, Prove that A tree with n...

Prove that A tree with n vertices has (n - 1) edges.    Ans: From the definition of a tree a root comprise indegree zero and all other nodes comprise indegree one. There should

Describe subtracting negative fractions, Describe Subtracting Negative Frac...

Describe Subtracting Negative Fractions? Subtracting two fractions, whether one is positive and one is negative, or whether they are both negative, is almost the same process a

Mathematics- in our lives , MATHEMATICS - IN OUR LIVES : What is the mo...

MATHEMATICS - IN OUR LIVES : What is the most obvious example of mathematics in your life? To many of us it is the maths that we studied in school. But is that all the mathemat

General rule - probability rule, GENERAL RULE A general rule is to sub...

GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th

Shares and divident, A man invest ?13500 partly in shares paying 6% at ?140...

A man invest ?13500 partly in shares paying 6% at ?140 and partly in 5% at 125.If he is tolal income is 560, how much has he invested in each?

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