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Question-135838

Question Number 135838 by abdurehime last updated on 16/Mar/21 Answered by liberty last updated on 16/Mar/21 $${f}\left({x}\right)=\:\frac{{x}}{{x}^{\mathrm{2}} +{k}}\:\Rightarrow\mathrm{ln}\:{y}\:=\:\mathrm{ln}\:{x}−\mathrm{ln}\:\left({x}^{\mathrm{2}} +{k}\right) \\ $$$$\:\frac{{y}'}{{y}}\:=\:\frac{\mathrm{1}}{{x}}−\frac{\mathrm{2}{x}}{{x}^{\mathrm{2}} +{k}} \\ $$$$\frac{{y}'}{{y}}\:=\:\frac{{k}−{x}^{\mathrm{2}} }{{x}\left({x}^{\mathrm{2}}…

Question-135840

Question Number 135840 by abdurehime last updated on 16/Mar/21 Answered by liberty last updated on 16/Mar/21 $${from}\:{p}\Rightarrow\:\backsim{q}\:{False}\:{we}\:{get}\:\begin{cases}{{p}\::\:{T}}\\{{q}\::\:{T}}\end{cases} \\ $$$${so}\:{the}\:{following}\:{statements}\:{is} \\ $$$${True}\::\:\left({p} \sim{q}\right)\Leftrightarrow\left(\sim{r} {r}\right) \\ $$$${answer}\::\:{C}…

Find-the-area-of-a-circle-leaving-the-answer-in-pi-i-if-it-area-is-doubled-it-circumference-ii-if-the-area-of-it-cermi-circle-is-numerically-equal-to-the-arc-length-of-a-quater-circle-iii-if-th

Question Number 135827 by otchereabdullai@gmail.com last updated on 16/Mar/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{leaving}\:\mathrm{the}\: \\ $$$$\mathrm{answer}\:\mathrm{in}\:\pi. \\ $$$$\left.\mathrm{i}\right)\:\mathrm{if}\:\mathrm{it}\:\mathrm{area}\:\mathrm{is}\:\mathrm{doubled}\:\mathrm{it}\:\mathrm{circumference} \\ $$$$ \\ $$$$\left.\mathrm{ii}\right)\:\mathrm{if}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{it}\:\mathrm{cermi}-\mathrm{circle}\:\mathrm{is}\: \\ $$$$\mathrm{numerically}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{the}\:\mathrm{arc}\:\mathrm{length}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{quater}\:\mathrm{circle} \\ $$$$ \\…