Question Number 80159 by Mr. AR last updated on 31/Jan/20 $$\boldsymbol{{IF}}\:\:\boldsymbol{{THE}}\:\:\:\boldsymbol{{SUM}}\:\:\:\boldsymbol{{OF}}\:\:\:\boldsymbol{{p}}\:\:\boldsymbol{{TERMS}} \\ $$$$\boldsymbol{{OF}}\:\:\boldsymbol{{AN}}\:\:\:\:\boldsymbol{{A}}.\boldsymbol{{P}}.\:\:\:\boldsymbol{{IS}}\:\:\:\boldsymbol{{EQUAL}}\:\:\boldsymbol{{TO}} \\ $$$$\boldsymbol{{SUM}}\:\:\boldsymbol{{OF}}\:\:\:\boldsymbol{{ITS}}\:\:\:\boldsymbol{{q}}\:\:\:\boldsymbol{{TERMS}}.\:\: \\ $$$$\boldsymbol{{PROVE}}\:\:\boldsymbol{{THAT}}\:\:\boldsymbol{{THE}}\:\:\boldsymbol{{SUM}}\:\:\boldsymbol{{OF}} \\ $$$$\left(\boldsymbol{{p}}+\boldsymbol{{q}}\right)\:\:\boldsymbol{{TERMS}}\:\:\boldsymbol{{OF}}\:\:\:\boldsymbol{{IT}}\:\:\:\boldsymbol{{IS}}\:\:\: \\ $$$$\boldsymbol{{EQUAL}}\:\:\boldsymbol{{TO}}\:\:\mathrm{0}\left(\boldsymbol{{ZERO}}\right). \\ $$ Commented by…
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Question Number 14479 by tawa tawa last updated on 01/Jun/17 Answered by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/Jun/17 $${ln}\left(\mathrm{1}+{tg}^{\mathrm{2}} {x}\right)={ln}\frac{\mathrm{1}}{{cos}^{\mathrm{2}} {x}}=−{lncos}^{\mathrm{2}} {x}=−\mathrm{2}{lncosx}. \\ $$$${a}^{\frac{\mathrm{3}}{\mathrm{2}}{log}_{\sqrt{{a}}} ^{\left({secx}\right)} }…
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Question Number 14452 by christine last updated on 31/May/17 Commented by RasheedSindhi last updated on 01/Jun/17 $$\mathrm{The}\:\mathrm{question}\:\mathrm{is}\:\mathrm{invisible}! \\ $$$$\mathrm{Pl}\:\mathrm{type}\:\mathrm{it}. \\ $$ Commented by Joel577 last…
Question Number 14451 by christine last updated on 31/May/17 Answered by mrW1 last updated on 31/May/17 $$\mathrm{4}{x}=\mathrm{9}{n}+\mathrm{5} \\ $$$${x}=\frac{\mathrm{9}{n}+\mathrm{5}}{\mathrm{4}}=\frac{\mathrm{8}{n}+\mathrm{4}+{n}+\mathrm{1}}{\mathrm{4}}=\mathrm{2}{n}+\mathrm{1}+\frac{{n}+\mathrm{1}}{\mathrm{4}} \\ $$$${n}+\mathrm{1}=\mathrm{4}{k} \\ $$$${n}=\mathrm{4}{k}−\mathrm{1} \\ $$$${x}=\frac{\mathrm{9}\left(\mathrm{4}{k}−\mathrm{1}\right)+\mathrm{5}}{\mathrm{4}}=\mathrm{9}{k}−\mathrm{1},\:{k}\epsilon\mathbb{P}…