Question Number 86116 by Tony Lin last updated on 27/Mar/20 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\frac{{tanx}}{{x}} \\ $$ Commented by john santu last updated on 27/Mar/20 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\frac{\mathrm{sin}\:{x}}{{x}}\:×\:\frac{\mathrm{1}}{\mathrm{cos}\:{x}}\:=\:{DNE} \\…
Question Number 20578 by NECx last updated on 28/Aug/17 $$\:{Tinkutara}\:{and}\:\:{Ajfour}\:{please}\:{how} \\ $$$${do}\:{you}\:{do}\:{the}\:{following}\:{using} \\ $$$${lekh}\:{diagram}: \\ $$$$\left({i}\right){introduction}\:{of}\:{dotted}\:{lines} \\ $$$$\left({ii}\right){writing}\:{of}\:{letters} \\ $$$$\left({iii}\right){shading} \\ $$$$\left({iv}\right){putting}\:{colours}\:{in}\:{a}\:{diagram} \\ $$$$\left({v}\right){draw}\:{live}\:{figures}\:{like}\:{birds} \\…
Question Number 86062 by ar247 last updated on 26/Mar/20 $$\int\frac{\sqrt{{x}^{\mathrm{2}} −\mathrm{25}}}{{x}}{dx} \\ $$ Commented by abdomathmax last updated on 27/Mar/20 $${I}\:=\int\frac{\sqrt{{x}^{\mathrm{2}} −\mathrm{25}}}{{x}}{dx}\:\:{changement}\:\sqrt{{x}^{\mathrm{2}} −\mathrm{25}}={t}\:{give} \\ $$$${x}^{\mathrm{2}}…
Question Number 20501 by Tinkutara last updated on 27/Aug/17 $$\mathrm{The}\:\mathrm{force}\:\mathrm{acting}\:\mathrm{on}\:\mathrm{the}\:\mathrm{block}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by} \\ $$$${F}\:=\:\mathrm{5}\:−\:\mathrm{2}{t}.\:\mathrm{The}\:\mathrm{frictional}\:\mathrm{force}\:\mathrm{acting} \\ $$$$\mathrm{on}\:\mathrm{the}\:\mathrm{block}\:\mathrm{at}\:{t}\:=\:\mathrm{2}\:\mathrm{s}.\:\left(\mathrm{The}\:\mathrm{block}\:\mathrm{is}\:\mathrm{at}\right. \\ $$$$\left.\mathrm{rest}\:\mathrm{at}\:{t}\:=\:\mathrm{0}\right) \\ $$ Commented by Tinkutara last updated on 27/Aug/17…
Question Number 20461 by pritam last updated on 27/Aug/17 Commented by Tinkutara last updated on 27/Aug/17 $$\mathrm{I}\:\mathrm{know}\:\mathrm{its}\:\mathrm{NCERT}.\:\mathrm{There}\:\mathrm{are}\:\mathrm{many} \\ $$$$\mathrm{guides}\:\mathrm{available}. \\ $$ Commented by pritam last…
Question Number 20460 by pritam last updated on 27/Aug/17 Commented by Tinkutara last updated on 27/Aug/17 $$\mathrm{This}\:\mathrm{is}\:\mathrm{also}\:\mathrm{a}\:\mathrm{NCERT}\:\mathrm{solved}\:\mathrm{example}. \\ $$$$\mathrm{You}\:\mathrm{must}\:\mathrm{understand}\:\mathrm{with}\:\mathrm{that}. \\ $$ Terms of Service Privacy…
Question Number 85982 by Rio Michael last updated on 26/Mar/20 $$\mathrm{A}\:\mathrm{primitive}\:\mathrm{of}\:\mathrm{the}\:\mathrm{function}\:\mathrm{defned}\:\mathrm{by}\:\mathrm{f}\left({x}\right)\:=\:{x}\:−\mathrm{1}\:+\:\frac{\mathrm{1}}{{x}+\mathrm{1}}\:\mathrm{is}\: \\ $$$$\mathrm{A}.\:\mathrm{F}\left({x}\right)\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\:−{x}\:+\:\mathrm{ln}\left({x}\:+\:\mathrm{1}\right)\:\:\:\:\mathrm{B}.\:\mathrm{F}\left({x}\right)\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}}\:+\:\mathrm{ln}\left({x}−\mathrm{1}\right) \\ $$$$\mathrm{C}.\:\mathrm{F}\left({x}\right)\:=\:\frac{{x}^{\mathrm{2}} }{\mathrm{2}}−{x}\:+\:\mathrm{ln}\left(\mathrm{1}−{x}\right)\:\:\:\:\:\:\:\:\:\mathrm{D}.\:\mathrm{F}\left({x}\right)\:=\:−{x}\:+\:\mathrm{ln}\left({x}−\mathrm{1}\right) \\ $$$$ \\ $$ Commented by Serlea…
Question Number 20425 by Tinkutara last updated on 27/Aug/17 $$\mathrm{On}\:\mathrm{a}\:\mathrm{frictionless}\:\mathrm{horizontal}\:\mathrm{surface}, \\ $$$$\mathrm{assumed}\:\mathrm{to}\:\mathrm{be}\:\mathrm{the}\:{x}-{y}\:\mathrm{plane},\:\mathrm{a}\:\mathrm{small} \\ $$$$\mathrm{trolley}\:{A}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{along}\:\mathrm{a}\:\mathrm{straight} \\ $$$$\mathrm{line}\:\mathrm{parallel}\:\mathrm{to}\:\mathrm{the}\:{y}-\mathrm{axis}\:\left(\mathrm{see}\:\mathrm{figure}\right) \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{velocity}\:\mathrm{of}\:\left(\sqrt{\mathrm{3}}\:−\:\mathrm{1}\right)\:\mathrm{m}/\mathrm{s}. \\ $$$$\mathrm{At}\:\mathrm{a}\:\mathrm{particular}\:\mathrm{instant},\:\mathrm{when}\:\mathrm{the}\:\mathrm{line} \\ $$$${OA}\:\mathrm{makes}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{45}°\:\mathrm{with}\:\mathrm{the} \\ $$$${x}-\mathrm{axis},\:\mathrm{a}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{along}\:\mathrm{the} \\…
Question Number 20412 by Tinkutara last updated on 26/Aug/17 $$\mathrm{A}\:\mathrm{block}\:\mathrm{is}\:\mathrm{placed}\:\mathrm{on}\:\mathrm{a}\:\mathrm{rough}\:\mathrm{horizontal} \\ $$$$\mathrm{surface}.\:\mathrm{The}\:\mathrm{minimum}\:\mathrm{force}\:\mathrm{required} \\ $$$$\mathrm{to}\:\mathrm{slide}\:\mathrm{the}\:\mathrm{block}\:\mathrm{is} \\ $$ Commented by Tinkutara last updated on 26/Aug/17 Commented by…
Question Number 20409 by Tinkutara last updated on 26/Aug/17 $${Calculate}\:{the}\:{force}\:\left({F}\right)\:{required}\:{to} \\ $$$${cause}\:{the}\:{block}\:{of}\:{mass}\:{m}_{\mathrm{1}} \:=\:\mathrm{20}\:{kg} \\ $$$${just}\:{to}\:{slide}\:{under}\:{the}\:{block}\:{of}\:{mass} \\ $$$${m}_{\mathrm{2}} \:=\:\mathrm{10}\:{kg}\:\left[{coefficient}\:{of}\:{friction}\:\mu\right. \\ $$$$\left.=\:\mathrm{0}.\mathrm{25}\:{for}\:{all}\:{surfaces}\right] \\ $$ Commented by Tinkutara…