Question Number 193316 by gatocomcirrose last updated on 10/Jun/23 $$ \\ $$$$\mathrm{IS}\:\mathrm{THIS}\:\mathrm{RIGHT}? \\ $$$$\mathrm{I}=\int_{\mathrm{0}} ^{\infty} \mathrm{e}^{−\mathrm{ix}^{\mathrm{2}} } \mathrm{dx} \\ $$$$\mathrm{I}^{\mathrm{2}} =\int_{\mathrm{0}} ^{\infty} \mathrm{e}^{−\mathrm{ix}^{\mathrm{2}} } \mathrm{dx}\int_{\mathrm{0}}…
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Question Number 193237 by CrispyXYZ last updated on 08/Jun/23 $$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\mathrm{In}\:\mathrm{any}\:\mathrm{acute}\:\bigtriangleup{ABC},\:\mathrm{cot}^{\mathrm{2}} {A}+\mathrm{cot}^{\mathrm{2}} {B}+\mathrm{cot}^{\mathrm{2}} {C}\geqslant\mathrm{1}. \\ $$$$\mathrm{Equality}\:\mathrm{is}\:\mathrm{possible}\:\mathrm{if}\:\mathrm{and}\:\mathrm{only}\:\mathrm{if}\:{A}={B}={C}=\frac{\pi}{\mathrm{3}}. \\ $$ Answered by MM42 last updated on…
Question Number 193247 by mokys last updated on 08/Jun/23 $${if}\:{f}\left({x}\right)\:=\:\frac{{ax}+\mathrm{1}}{{x}+{b}}\:{find}\:{f}^{\:\mathrm{100}} \left({x}\right)\:{and}\:{f}^{\mathrm{101}} \left({x}\right)\:? \\ $$ Answered by aba last updated on 08/Jun/23 $$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{ax}+\mathrm{1}}{\mathrm{x}+\mathrm{b}}=\mathrm{a}+\frac{\mathrm{1}−\mathrm{ab}}{\mathrm{x}+\mathrm{b}} \\ $$$$\mathrm{f}^{\mathrm{2}} \left(\mathrm{x}\right)=\mathrm{f}{o}\mathrm{f}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{a}+\frac{\mathrm{1}−\mathrm{ab}}{\mathrm{x}+\mathrm{b}}\right)=\mathrm{a}+\frac{\mathrm{1}−\mathrm{ab}}{\mathrm{f}\left(\mathrm{x}\right)+\mathrm{b}}…
Question Number 193250 by mathocean1 last updated on 08/Jun/23 $${Solve}: \\ $$$${y}'\left({x}\right)={y}^{\mathrm{2}} \left({t}\right)+{t}^{\mathrm{2}} \: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 193210 by otchereabdullai@gmail.com last updated on 07/Jun/23 Answered by MM42 last updated on 07/Jun/23 $$\left({p}+\mathrm{3}{q}\right)^{\mathrm{2}} −\left({p}+\mathrm{3}{q}\right)\left({p}−\mathrm{3}{q}\right)=\left({p}+\mathrm{3}{q}\right)\left({p}+\mathrm{3}{q}−{p}+\mathrm{3}{q}\right)=\mathrm{6}{q}\left({p}+\mathrm{3}{q}\right)\:\checkmark \\ $$ Commented by otchereabdullai@gmail.com last updated…
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Question Number 193192 by 073 last updated on 07/Jun/23 $$\mathrm{solve}\:\mathrm{and}\:\mathrm{solution} \\ $$$$\Omega=\int\sqrt{\mathrm{sin}^{−\mathrm{1}} \mathrm{x}}\mathrm{dx}=? \\ $$ Answered by Frix last updated on 07/Jun/23 $$\int\sqrt{\mathrm{sin}^{−\mathrm{1}} \:{x}}\:{dx}\:\overset{\left[{t}=\mathrm{sin}^{−\mathrm{1}} \:{x}\right]}…
Question Number 193179 by liuxinnan last updated on 06/Jun/23 $$\:\:{f}\left(\theta\right)\:=\:\frac{{v}^{\mathrm{2}} \mathrm{sin}\theta\mathrm{cos}\theta+{v}\mathrm{cos}\:\sqrt{{v}^{\mathrm{2}} \mathrm{sin}^{\mathrm{2}} \theta+{Hg}\:}\:}{{g}} \\ $$$$\:\:\:{f}\left(\theta\right)_{{max}} =? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com