Question Number 109143 by mathdave last updated on 21/Aug/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 109141 by mathdave last updated on 21/Aug/20 Answered by Dwaipayan Shikari last updated on 21/Aug/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{\mathrm{2}^{{n}} {n}}=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{2}} }.\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{2}^{\mathrm{3}} .\mathrm{3}}+….=−{log}\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{2}}\right)={log}\left(\mathrm{2}\right) \\ $$…
Question Number 174672 by Best1 last updated on 08/Aug/22 $${for}\:{what}\:{values}\:{a}\:{and}\:{b}\:{is}\:{the}\: \\ $$$${function}\:{differentiable}\:{at}\:{x}=\mathrm{2}? \\ $$$$\mathrm{4}{x}−\mathrm{2}{x}^{\mathrm{2}\:} {x}\leqslant\mathrm{2} \\ $$$${ax}^{\mathrm{3}\:} +{bx},{x}>\mathrm{2} \\ $$ Answered by MJS_new last updated…
Question Number 174665 by mokys last updated on 07/Aug/22 $${find}\:{the}\:{domain}\:{and}\:{range}\:{of}\:{tbe}\:{following} \\ $$$$ \\ $$$$\left.\mathrm{1}\right)\:{y}\:=\:{cot}\left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$$\left.\mathrm{2}\right)\:{y}\:=\:{sin}\mid{x}\mid \\ $$$$\left.\mathrm{3}\right)\:\mid{y}\mid\:=\:{cosx} \\ $$$$\left.\mathrm{4}\right)\:{y}\:=\:{cos}\left({cosx}\right) \\ $$$$\left.\mathrm{5}\right)\:{y}\:=\mid{cscx}\mid\:−\mathrm{1} \\ $$$$\left.\mathrm{6}\right)\:{y}\:=\:{sin}\left({sinx}\right) \\…
Question Number 109128 by ZiYangLee last updated on 21/Aug/20 $$\mathrm{A}\:\mathrm{high}\:\mathrm{school}\:\mathrm{question}\:\mathrm{from}\:\mathrm{Japan} \\ $$$$ \\ $$$$\mathrm{Let}\:\mathrm{P}\left({x}\right)\:\mathrm{be}\:\mathrm{a}\:\mathrm{real}\:\mathrm{polynomial}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{4}\: \\ $$$$\mathrm{and}\:\mathrm{P}^{\left(\mathrm{4}\right)} \left(\mathrm{0}\right)=\mathrm{72}. \\ $$$$\mathrm{If}\:\mathrm{there}\:\mathrm{exists}\:{t}\in\mathbb{R}\:\mathrm{and}\:{m},{n}\in\mathbb{R}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{P}''\left({t}\right)=\mathrm{0}\:\mathrm{and}\:\mathrm{P}'\left({t}\right)=\mathrm{P}'\left({t}+{m}\right)=\int_{{t}} ^{\:{t}+{m}} \mathrm{P}'\left({x}\right){dx}={n} \\ $$$$\Rightarrow\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{m}\:\mathrm{and}\:{n}.…
Question Number 174611 by MathsFan last updated on 05/Aug/22 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{expected}\:\mathrm{payback}\:\mathrm{for}\:\mathrm{a}\: \\ $$$$\mathrm{game}\:\mathrm{in}\:\mathrm{which}\:\mathrm{you}\:\mathrm{bet}\:\$\mathrm{8}.\mathrm{00}\:\mathrm{on}\:\mathrm{any} \\ $$$$\mathrm{number}\:\mathrm{from}\:\mathrm{0}\:\mathrm{to}\:\mathrm{99}\:\mathrm{and}\:\mathrm{if}\:\mathrm{your} \\ $$$$\mathrm{number}\:\mathrm{comes}\:\mathrm{up},\:\mathrm{you}\:\mathrm{win}\:\$\mathrm{2},\mathrm{000}.\mathrm{00} \\ $$ Commented by shikaridwan last updated on 06/Aug/22…
Question Number 109070 by Aziztisffola last updated on 20/Aug/20 Commented by kaivan.ahmadi last updated on 21/Aug/20 $$\mathrm{3}. \\ $$$${let}\:{f}\:{be}\:{even} \\ $$$${g}'\left({x}\right)={xf}\left({x}\right)\Rightarrow{g}'\left(−{x}\right)=\left(−{x}\right){f}\left(−{x}\right)=−{xf}\left({x}\right)=−{g}'\left({x}\right) \\ $$$$\Rightarrow{g}'\:{is}\:{odd}\Rightarrow{g}\:{is}\:{even} \\ $$…
Question Number 174581 by Gbenga last updated on 04/Aug/22 $$\mathrm{3}^{\mathrm{3}^{\mathrm{3}^{\mathrm{3}} } } \\ $$$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{last}}\:\boldsymbol{\mathrm{two}}\:\boldsymbol{\mathrm{digits}} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered…
Question Number 174582 by otchereabdullai@gmail.com last updated on 05/Aug/22 $$\:\mathrm{Your}\:\mathrm{friend}\:\mathrm{makes}\:\mathrm{4}\:\mathrm{field}\:\mathrm{goals}\:.\:\mathrm{you} \\ $$$$\:\mathrm{make}\:\mathrm{three}\:\mathrm{times}\:\mathrm{as}\:\mathrm{many}\:\mathrm{field}\:\mathrm{goals} \\ $$$$\mathrm{as}\:\mathrm{your}\:\mathrm{friend}\:\mathrm{plus}\:\mathrm{one}\:\mathrm{field}\:\mathrm{goals}. \\ $$$$\:\mathrm{how}\:\mathrm{many}\:\mathrm{points}\:\mathrm{do}\:\mathrm{you}\:\mathrm{have}.\: \\ $$$$\mathrm{Explain}\:\mathrm{the}\:\mathrm{order}\:\mathrm{of}\:\mathrm{operation}\:\mathrm{you}\: \\ $$$$\mathrm{followed} \\ $$ Terms of Service…
Question Number 174583 by otchereabdullai@gmail.com last updated on 05/Aug/22 $$\:\mathrm{Your}\:\mathrm{friend}\:\mathrm{makes}\:\mathrm{6}\:\mathrm{field}\:\mathrm{goals}\:\mathrm{and}\: \\ $$$$\:\:\mathrm{2}\:\mathrm{free}\:\mathrm{throws}.\:\mathrm{You}\:\mathrm{make}\:\mathrm{twice}\:\mathrm{as} \\ $$$$\:\mathrm{many}\:\mathrm{field}\:\mathrm{goals}\:\mathrm{as}\:\mathrm{your}\:\mathrm{friend}\:\mathrm{and}\: \\ $$$$\:\mathrm{half}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{free}\:\mathrm{throws}.\:\mathrm{How} \\ $$$$\mathrm{many}\:\mathrm{points}\:\mathrm{do}\:\mathrm{you}\:\mathrm{have}.\:\mathrm{explain}\:\mathrm{the} \\ $$$$\mathrm{order}\:\mathrm{of}\:\mathrm{operation}\:\mathrm{you}\:\mathrm{followed} \\ $$$$\:\:\:\:\: \\ $$ Terms…