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Author: Tinku Tara

f-x-y-f-2x-2y-2y-2x-IF-f-2-x-0-f-2-x-k-0-Find-minimum-value-of-k-gt-0-

Question Number 9030 by Nemish Zawar last updated on 15/Nov/16 $${f}\left({x}\:,{y}\right)={f}\left(\mathrm{2}{x}+\mathrm{2}{y},\:\mathrm{2}{y}−\mathrm{2}{x}\right) \\ $$$$\mathrm{I}{F}\:{f}\left(\mathrm{2}^{{x}} ,\mathrm{0}\right)={f}\left(\mathrm{2}^{{x}+{k}} ,\mathrm{0}\right) \\ $$$$\boldsymbol{\mathrm{F}}\mathrm{ind}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}>\mathrm{0}. \\ $$ Terms of Service Privacy Policy Contact:…

2cos-x-4-cos-x-4-

Question Number 9029 by rzagung last updated on 15/Nov/16 $$ \\ $$$$\mathrm{2}{cos}\left({x}+\Pi/\mathrm{4}\right)={cos}\left({x}−\Pi/\mathrm{4}\right) \\ $$ Answered by Rasheed Soomro last updated on 15/Nov/16 $$\mathrm{2}{cos}\left({x}+\pi/\mathrm{4}\right)={cos}\left({x}−\pi/\mathrm{4}\right) \\ $$$$\mathrm{cos}\left(\mathrm{x}+\pi/\mathrm{4}\right)+\mathrm{cos}\left(\mathrm{x}+\pi/\mathrm{4}\right)−\mathrm{cos}\left(\mathrm{x}−\pi/\mathrm{4}\right)=\mathrm{0}…

Determine-number-s-that-is-are-comprised-of-four-distinct-prime-factors-such-that-difference-of-largest-and-smallest-prime-factors-is-equal-to-the-sum-of-remaining-two-factors-Prop

Question Number 9025 by Rasheed Soomro last updated on 15/Nov/16 $$\mathrm{Determine}\:\mathrm{number}/\mathrm{s}\:\mathrm{that}\:\mathrm{is}/\mathrm{are}\:\mathrm{comprised} \\ $$$$\mathrm{of}\:\mathrm{four}\:\mathrm{distinct}\:\mathrm{prime}\:\mathrm{factors}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{difference}\:\mathrm{of}\:\mathrm{largest}\:\mathrm{and}\:\mathrm{smallest}\:\mathrm{prime} \\ $$$$\mathrm{factors}\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{remaining} \\ $$$$\mathrm{two}\:\mathrm{factors}.\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:_{\mathrm{Propsed}\:\mathrm{by}\:\mathrm{Rasheed}\:\mathrm{Soomro}} \\ $$ Commented by FilupSmith last…