Question Number 151940 by alcohol last updated on 24/Aug/21 Answered by qaz last updated on 24/Aug/21 $$\mathrm{4}\centerdot\mathrm{8}=\mathrm{32}……..\mathrm{32}\boldsymbol{\div}\mathrm{16}=\mathrm{2} \\ $$$$\mathrm{8}\centerdot\mathrm{9}=\mathrm{72}……..\mathrm{72}\boldsymbol{\div}\mathrm{24}=\mathrm{3} \\ $$$$\mathrm{9}\centerdot\mathrm{12}=\mathrm{108}…..\mathrm{108}\boldsymbol{\div}?=\mathrm{4} \\ $$$$\Rightarrow?=\mathrm{27} \\ $$…
Question Number 20871 by j.masanja06@gmail.com last updated on 05/Sep/17 Answered by sma3l2996 last updated on 05/Sep/17 $$\frac{{dy}}{{dx}}=\mathrm{2}\frac{{tan}^{−\mathrm{1}} {x}}{\mathrm{1}+{x}^{\mathrm{2}} }\Leftrightarrow\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\frac{{dy}}{{dx}}=\mathrm{2}{tan}^{−\mathrm{1}} {x} \\ $$$$\frac{{d}}{{dx}}\left(\left(\mathrm{1}+{x}^{\mathrm{2}} \right)\frac{{dy}}{{dx}}\right)=\mathrm{2}\frac{{d}\left({tan}^{−\mathrm{1}} {x}\right)}{{dx}}=\frac{\mathrm{2}}{\mathrm{1}+{x}^{\mathrm{2}}…
Question Number 20870 by j.masanja06@gmail.com last updated on 05/Sep/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 151942 by mnjuly1970 last updated on 24/Aug/21 $$ \\ $$$$\:\:\:\mathrm{If}\:\:{x}\:,\:{y}\:>\:\mathrm{1}\:\:\:: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Min}\:\left(\:\frac{\:{x}^{\:\mathrm{4}} }{\left({y}\:−\mathrm{1}\:\right)^{\:\mathrm{2}} }\:+\:\frac{\:{y}^{\:\mathrm{4}} }{\left(\:{x}\:−\:\mathrm{1}\:\right)^{\:\mathrm{2}} }\:\right)\:=\:?\:……\blacksquare\:\:?\:\: \\ $$$$\:\:\:\:{m}.{n}… \\ $$$$ \\…
Question Number 20850 by j.masanja06@gmail.com last updated on 04/Sep/17 $${given}\:{that}\:{y}={log}\sqrt{\frac{\mathrm{1}+{cos}^{\mathrm{2}} {x}}{\mathrm{1}−{e}^{\mathrm{2}{x}} }},{find} \\ $$$$\frac{{dy}}{{dx}} \\ $$ Answered by Hitler last updated on 05/Sep/17 $$\frac{−{sinxcosx}+\left(\mathrm{1}+{sinxcosx}+{cos}^{\mathrm{2}} {x}\right){e}^{\mathrm{2}{x}}…
Question Number 20851 by j.masanja06@gmail.com last updated on 04/Sep/17 $${if}\:\left({x}+{y}\right)^{{m}+{n}} ={x}^{{m}} {y}^{{n}} ,{show}\:{that}\:\frac{{dy}}{{dx}}=\frac{{y}}{{x}} \\ $$ Answered by ajfour last updated on 04/Sep/17 $${taking}\:{logarithm}\:{on}\:{both}\:{sides}: \\ $$$$\left({m}+{n}\right)\mathrm{ln}\:\left({x}+{y}\right)={m}\mathrm{ln}\:{x}+{n}\mathrm{ln}\:{y}…
Question Number 20849 by j.masanja06@gmail.com last updated on 04/Sep/17 $${The}\:{time}\:{period},{T}\:\:{of}\:{pendulum}\:{of} \\ $$$${length}\:{l}\:{is}\:{given}\:{by}\:{T}=\mathrm{2}\Pi\sqrt{\frac{{l}}{{g}}}{where} \\ $$$$\:{l}\:{amd}\:{g}\:{are}\:{constant}.{Find}\:{the}\: \\ $$$${approximate}\:{percentage}\:{increase}\: \\ $$$${in}\:{time}\:{T},\:{when}\:{the}\:{length}\:{of}\: \\ $$$${pendulum}\:{increases}\:{by}\:\mathrm{4\%} \\ $$ Answered by mrW1…
Question Number 20847 by j.masanja06@gmail.com last updated on 04/Sep/17 $${the}\:{rectangle}\:{is}\:{known}\:{to}\:{be}\:{twice} \\ $$$${as}\:{long}\:{as}\:{its}\:{wide}.{if}\:{the}\:{width}\:{is} \\ $$$${measured}\:{as}\:\mathrm{20}\:\pm\mathrm{0}.\mathrm{2}{cm}. \\ $$$${find}\:{the}\:{area}\:{in}\:{the}\:{form}\:{of}\:\left({A}\pm{b}\right) \\ $$$$ \\ $$ Answered by ajfour last updated…
Question Number 20831 by j.masanja06@gmail.com last updated on 04/Sep/17 $${if}\:{x}\sqrt{\mathrm{1}+{y}}\:+\:{y}\sqrt{\mathrm{1}+{x}}=\mathrm{0}\:{prove}\:{that}\: \\ $$$$\frac{{dy}}{{dx}}=−\left(\mathrm{1}+{x}\right)^{−\mathrm{2}} \\ $$ Answered by ajfour last updated on 04/Sep/17 $${x}\sqrt{\mathrm{1}+{y}}\:=−{y}\sqrt{\mathrm{1}+{x}}\: \\ $$$${so} \\…
Question Number 20832 by j.masanja06@gmail.com last updated on 04/Sep/17 $${Given}\:{that}\:{y}={log}\sqrt{\frac{\mathrm{1}−{cos}^{\mathrm{2}} {x}}{\mathrm{1}−{e}^{\mathrm{2}{x}} }} \\ $$$${find}\:\frac{{dy}}{{dx}} \\ $$ Commented by myintkhaing last updated on 04/Sep/17 $$\mathrm{ecos}^{\mathrm{2}} \mathrm{x}\:???…