Question Number 84212 by jagoll last updated on 10/Mar/20 $$\mathrm{y}'\:=\:\left(\mathrm{2x}+\mathrm{3y}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{solution}\: \\ $$ Commented by niroj last updated on 10/Mar/20 $$\:\:\frac{\mathrm{dy}}{\mathrm{dx}}=\:\left(\mathrm{2x}+\mathrm{3y}+\mathrm{1}\right)^{\mathrm{2}} \\ $$$$\:\mathrm{put},\:\:\mathrm{2x}+\mathrm{3y}+\mathrm{1}=\mathrm{v} \\…
Question Number 84213 by jagoll last updated on 10/Mar/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{n}^{\mathrm{th}} \: \\ $$$$\mathrm{derivative}\:\mathrm{of}\:\:\mathrm{sin}\:^{\mathrm{5}} \left(\mathrm{x}\right)\:\mathrm{by}\:\mathrm{De}\:\mathrm{Moivre}'\mathrm{s} \\ $$$$\mathrm{formula} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 84206 by naka3546 last updated on 10/Mar/20 $${a},\:{b},\:{c},\:{d}\:\:\in\:\:\mathbb{N} \\ $$$$\left({a},\:{b},\:{c},\:{d}\right)\:\:{is}\:\:{quadruple}\:\:{of}\:\:{a},\:{b},\:{c},\:{d}\:\:{such}\:\:{that} \\ $$$$\:\:\:\:\:\:\:\:{b}\:\:=\:\:{a}^{\mathrm{2}} \:+\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:{c}\:\:=\:\:{b}^{\mathrm{2}} \:+\:\mathrm{1} \\ $$$$\:\:\:\:\:\:\:\:{d}\:\:=\:\:{c}^{\mathrm{2}} \:+\:\mathrm{1} \\ $$$$\tau\left({a}\right)\:+\:\tau\left({b}\right)\:+\:\tau\left({c}\right)\:+\:\tau\left({d}\right)\:\:{is}\:\:\:{odd}\:\:{number}\left({s}\right)\:. \\ $$$$\tau\left({k}\right)\:\:{is}\:\:{the}\:\:{number}\:\:{of}\:\:{positive}\:\:{divisor}\:\:{of}\:\:\:{natural}\:\:{number}\:\:{k}\:.…
Question Number 84205 by 1406 last updated on 10/Mar/20 $${prove}\: \\ $$$${a}.\:{sin}\mathrm{2}{x}={tanx}\left(\mathrm{1}+{cos}\mathrm{2}{x}\right) \\ $$$${b}.\:{sin}\mathrm{2}{x}=\frac{\mathrm{2}{tanx}}{\mathrm{1}+{tan}^{\mathrm{2}} {x}} \\ $$ Answered by john santu last updated on 10/Mar/20…
Question Number 84202 by 1406 last updated on 10/Mar/20 $${prove}\: \\ $$$${cos}^{\mathrm{4}} {x}−{sin}^{\mathrm{4}} {x}={cos}\mathrm{22}{x} \\ $$ Answered by john santu last updated on 10/Mar/20 $$\left(\mathrm{cos}\:^{\mathrm{2}}…
Question Number 18666 by tawa tawa last updated on 26/Jul/17 $$\mathrm{An}\:\mathrm{elastic}\:\mathrm{material}\:\mathrm{has}\:\mathrm{a}\:\mathrm{length}\:\mathrm{of}\:\:\mathrm{36cm}\:\mathrm{when}\:\mathrm{a}\:\mathrm{load}\:\mathrm{of}\:\mathrm{40N}\:\mathrm{is}\:\mathrm{hung}\:\mathrm{on}\:\mathrm{it}\:\mathrm{and} \\ $$$$\mathrm{a}\:\mathrm{length}\:\mathrm{of}\:\mathrm{45cm}\:\mathrm{when}\:\mathrm{a}\:\mathrm{load}\:\mathrm{of}\:\mathrm{60N}\:\mathrm{is}\:\mathrm{hung}\:\mathrm{on}\:\mathrm{it}.\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{Original}\: \\ $$$$\mathrm{length}\:\mathrm{of}\:\mathrm{the}\:\mathrm{string}\:? \\ $$ Answered by mrW1 last updated on 27/Jul/17 $$\mathrm{36}−\frac{\mathrm{45}−\mathrm{36}}{\mathrm{60}−\mathrm{40}}×\mathrm{40}=\mathrm{18}\:\mathrm{cm}…
Question Number 149739 by iloveisrael last updated on 07/Aug/21 Answered by Olaf_Thorendsen last updated on 07/Aug/21 $$\lambda\:=\:\int_{\mathrm{0}} ^{\pi} {x}\mathrm{sin}^{\mathrm{9}} {x}\:{dx}\:\:\:\left(\mathrm{1}\right) \\ $$$$\lambda\:=\:\int_{\pi} ^{\mathrm{0}} \left(\pi−{u}\right)\mathrm{sin}^{\mathrm{9}} \left(\pi−{u}\right)\:\left(−{du}\right)…
Question Number 149733 by peter frank last updated on 06/Aug/21 Answered by Olaf_Thorendsen last updated on 07/Aug/21 $$\tau\:\mathrm{is}\:\mathrm{the}\:\mathrm{time}\:\mathrm{since}\:\mathrm{the}\:\mathrm{beginning} \\ $$$$\bullet\:\mathrm{Particule}\:\mathrm{1}\:: \\ $$$${x}_{\mathrm{1}} \:=\:−\frac{\mathrm{1}}{\mathrm{2}}{g}\tau^{\mathrm{2}} +{u}\tau \\…
Question Number 18663 by Tinkutara last updated on 26/Jul/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{101}\:×\:\mathrm{10001}\:× \\ $$$$\mathrm{100000001}\:×\:…\:×\:\left(\mathrm{1000}…\mathrm{01}\right)\:\mathrm{where}\:\mathrm{the} \\ $$$$\mathrm{last}\:\mathrm{factor}\:\mathrm{has}\:\mathrm{2}^{\mathrm{7}} \:−\:\mathrm{1}\:\mathrm{zeros}\:\mathrm{between}\:\mathrm{the} \\ $$$$\mathrm{ones}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{ones}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{product}. \\ $$ Commented by diofanto last…