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Author: Tinku Tara

Question-153426

Question Number 153426 by SANOGO last updated on 07/Sep/21 Answered by puissant last updated on 07/Sep/21 $$\forall{x}\in\left[−\mathrm{1};\mathrm{1}\right]\:,\:{f}\left({x}\right)=\frac{\pi}{\:\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }}.. \\ $$ Commented by SANOGO last updated…

Question-87886

Question Number 87886 by TawaTawa1 last updated on 06/Apr/20 Commented by jagoll last updated on 07/Apr/20 $$\mathrm{x}^{\mathrm{2}} −\mathrm{4x}+\mathrm{1}\:=\:\mathrm{0} \\ $$$$\left(\mathrm{x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{x}\:=\:\mathrm{2}\:\pm\:\sqrt{\mathrm{3}}\: \\ $$$$\mathrm{y}^{\mathrm{2}}…

lim-x-a-x-3-2-x-

Question Number 153422 by ZiYangLee last updated on 07/Sep/21 $$\underset{{x}\rightarrow{a}} {\mathrm{lim}}\:\frac{{x}^{\mathrm{3}} }{\mathrm{2}^{{x}} }\:= \\ $$ Answered by puissant last updated on 07/Sep/21 $$=\frac{{a}^{\mathrm{3}} }{\mathrm{2}^{{a}} }\:,\:{a}>\mathrm{0}…

The-sum-of-all-the-solutions-of-the-equation-1-2-cosec-x-sec-2-x-2-2-in-the-interval-0-4pi-is-npi-where-n-is-equal-to-

Question Number 22348 by Tinkutara last updated on 16/Oct/17 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{solutions}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{1}\:+\:\mathrm{2}\:\mathrm{cosec}\:{x}\:=\:−\frac{\mathrm{sec}^{\mathrm{2}} \:\frac{{x}}{\mathrm{2}}}{\mathrm{2}}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{interval}\:\left[\mathrm{0},\:\mathrm{4}\pi\right]\:\mathrm{is}\:{n}\pi,\:\mathrm{where}\:{n}\:\mathrm{is} \\ $$$$\mathrm{equal}\:\mathrm{to} \\ $$ Answered by ajfour last updated on…