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Find out the whether the following equat...

Find out the whether the following equations have any solutions:
(a) `|x|=x+5,` (b) `|x|=x-5?`

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IA MARON-INTRODUCTION OF MATHEMATICAL ANALYSIS-Additional Problems
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  7. Prove the identity ((x+|x|)/2)^(2)+((x-|x|)/(2))^(2) =x^(2)

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  8. Prove that Bernoulli inqeuality (1+x(1)) [1+x(2)).....(1+x(n)) ge 1+x(...

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  9. Find the domains of defination of the following functions: (a) f(x)=...

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  10. Are the following functions identical? (a) f(x)=x/x and phi (x)=1 ...

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  11. In what interval are the following functions identical? (a) f(x)=x a...

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  19. Prove that if the function f(x)=sin x+cos a x is a periodic, than a is...

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  21. Give an examole of non-monotonic functions that has an inverse.

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