vectors, Mathematics

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Find out that the relation is an equivalent relation or not, Let m be a pos...

Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust

Find the function and domain, Consider the function f(x) = x + 1/x 2 + 2x ...

Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si

Logarithms, How to solve this: log x(81) = 4

How to solve this: log x(81) = 4

Right- and left-handed limits , Right- and left-handed limits : Next, let'...

Right- and left-handed limits : Next, let's see precise definitions for the right- & left-handed limits. Definition   For the right-hand limit we say that, if for eve

Relative measures of dispersion-illustration, Illustration 2 In a ...

Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local

Upper limit of normal , Frequently, tests that yield abnormal results are r...

Frequently, tests that yield abnormal results are repeated for confirmation.  What is the probability that for a usual person a test will be at least 1.5 times as high as the upper

Shares and dividend, a man in rested rupee 800 is buying rupee 5 shares and...

a man in rested rupee 800 is buying rupee 5 shares and then are selling at premium of rupee 1.15. He sells all the shares.find profit

Farmer counting grasshoppers in his fields, Farmer counting grasshoppers in...

Farmer counting grasshoppers in his fields, probably not normally distributed due to growing conditions. After various rows the mean number of grasshoppers is 57 SD 12. What will b

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