Question Number 134538 by bemath last updated on 05/Mar/21 $$ \\ $$How do you find the interval in which x belongs such that |sinx+cosx|=sinx +…
Question Number 3464 by Rasheed Soomro last updated on 13/Dec/15 $$\mathcal{I}{f}\:\:{a},{b},{c},{d}\:{are}\:{in}\:{G}.{P}.,\:{prove}\:{that} \\ $$$${a}^{\mathrm{2}} −{b}^{\mathrm{2}} ,{b}^{\mathrm{2}} −{c}^{\mathrm{2}} ,{c}^{\mathrm{2}} −{d}^{\mathrm{2}} \:{are}\:{also}\:{in}\:{G}.{P}. \\ $$ Answered by Yozzii last…
Question Number 3463 by prakash jain last updated on 13/Dec/15 $$\mathrm{A}\:\mathrm{car}\:\mathrm{starts}\:\mathrm{from}\:\mathrm{rest}\:\mathrm{and}\:\mathrm{uniformly} \\ $$$$\mathrm{accelerates}\:\mathrm{for}\:\mathrm{1}\:\mathrm{km},\:\mathrm{travels}\:\mathrm{with}\:\mathrm{uniform} \\ $$$$\mathrm{velocity}\:\mathrm{for}\:\mathrm{98}\:\mathrm{km}\:\mathrm{and}\:\mathrm{brakes}\:\mathrm{and}\:\mathrm{stop} \\ $$$$\mathrm{after}\:\mathrm{travelling}\:\mathrm{another}\:\mathrm{1}\:\mathrm{km}. \\ $$$$\mathrm{Consider}\:\mathrm{the}\:\mathrm{above}\:\mathrm{experiment}\:\mathrm{being}\:\mathrm{done} \\ $$$$\mathrm{on}\:\mathrm{2}\:\mathrm{different}\:\mathrm{roads}\:\mathrm{1st}\:\mathrm{roads}\:\mathrm{has}\:\mathrm{higher} \\ $$$$\mathrm{coefficient}\:\mathrm{of}\:\mathrm{friction}\:\mathrm{for}\:\mathrm{car}\:\mathrm{for}\:\mathrm{all}\:\mathrm{types} \\ $$$$\mathrm{than}\:\mathrm{2nd}\:\mathrm{road}.…
Question Number 3460 by prakash jain last updated on 14/Dec/15 $$\mathrm{If}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} \:\mathrm{is}\:\mathrm{convergent}\:\mathrm{and}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{b}_{{n}} \:\mathrm{is}\:\mathrm{convergent}. \\ $$$$\mathrm{What}\:\mathrm{are}\:\mathrm{the}\:\mathrm{sufficient}\:\mathrm{condition}\:\mathrm{so}\:\mathrm{that} \\ $$$$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} ^{{n}} {b}_{{n}}…
Question Number 134530 by I want to learn more last updated on 04/Mar/21 $$\mathrm{The}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{a}\:\mathrm{train}\:\mathrm{is}\:\mathrm{reduced}\:\mathrm{from}\:\:\mathrm{80km}/\mathrm{hr}\:\:\mathrm{to}\:\:\mathrm{40km}/\mathrm{hr}\:\:\mathrm{in}\:\mathrm{a} \\ $$$$\mathrm{distance}\:\mathrm{of}\:\:\mathrm{500m}\:\:\mathrm{on}\:\mathrm{applying}\:\mathrm{the}\:\mathrm{brakes}. \\ $$$$\left(\mathrm{i}\right)\:\:\mathrm{How}\:\mathrm{much}\:\mathrm{further}\:\mathrm{will}\:\mathrm{the}\:\mathrm{train}\:\mathrm{travels}\:\mathrm{before}\:\mathrm{coming}\:\mathrm{to}\:\mathrm{rest}. \\ $$$$\left(\mathrm{ii}\right)\:\:\mathrm{Assuming}\:\mathrm{the}\:\mathrm{retardation}\:\mathrm{remains}\:\mathrm{constant},\:\mathrm{how}\:\mathrm{long}\:\mathrm{will}\:\mathrm{it} \\ $$$$\mathrm{take}\:\mathrm{to}\:\mathrm{bring}\:\mathrm{the}\:\mathrm{train}\:\mathrm{to}\:\mathrm{rest}\:\mathrm{after}\:\mathrm{the}\:\mathrm{application}\:\mathrm{of}\:\mathrm{the}\:\mathrm{brakes}? \\ $$ Answered…
Question Number 68991 by pranay02 last updated on 17/Sep/19 $${if}\:{the}\:{range}\:{of}\:{f}\left({x},\:{y}\right)\:=\:{sec}^{−\mathrm{1}} \left({x}+\frac{\mathrm{1}}{{x}}\right)+{sec}^{−\mathrm{1}} \left({y}+\frac{\mathrm{1}}{{y}}\right),\:{xy}<\mathrm{0}\:{is}\:\left({a},\:{b}\right)\:{and}\:\left({a}+{b}\right)\:{equals}\:\frac{\lambda\pi}{\mathrm{10}},\:{then}\:\lambda\:{is}\:{eqal}\:{to}\: \\ $$ Answered by MJS last updated on 18/Sep/19 $${g}\left({t}\right)=\mathrm{sec}^{−\mathrm{1}} \:\left({t}+\frac{\mathrm{1}}{{t}}\right)\:=\mathrm{cos}^{−\mathrm{1}} \:\left(\frac{{t}}{{t}^{\mathrm{2}} +\mathrm{1}}\right)…
Question Number 134526 by mohammad17 last updated on 04/Mar/21 Answered by mr W last updated on 05/Mar/21 $$\frac{\mathrm{1}}{\mathrm{1}+{x}}=\mathrm{1}−{x}+{x}^{\mathrm{2}} −{x}^{\mathrm{3}} +… \\ $$$$\int\frac{\mathrm{1}}{\mathrm{1}+{x}}{dx}=\int\left(\mathrm{1}−{x}+{x}^{\mathrm{2}} −{x}^{\mathrm{3}} +…\right){dx} \\…
Question Number 3451 by prakash jain last updated on 13/Dec/15 $$\mathrm{Consider}\:\mathrm{a}\:\mathrm{polynomial}\:\mathrm{equation} \\ $$$$\underset{{i}=\mathrm{0}} {\overset{{n}} {\sum}}{a}_{{i}} {x}^{{i}} =\mathrm{0},\:{a}_{{i}} \in\mathbb{Z} \\ $$$$\mathrm{Prove}\:\mathrm{that}\:\mathrm{if}\:{a}+{b}\sqrt{{c}}\:\mathrm{is}\:\mathrm{a}\:\mathrm{root}\:\mathrm{of}\:\mathrm{the}\:\mathrm{above} \\ $$$$\mathrm{equation}\:\mathrm{then}\:{a}−{b}\sqrt{{c}}\:\mathrm{is}\:\mathrm{also}\:\mathrm{a}\:\mathrm{root}. \\ $$$${a},{b},{c}\in\mathbb{Z},\:{c}\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{whole}\:\mathrm{square}. \\…
Question Number 134520 by Eric002 last updated on 04/Mar/21 Commented by Eric002 last updated on 04/Mar/21 $${find}\:{the}\:{voltage}\:{at}\:{the}\:{nodes}\:{by}\:{using} \\ $$$${nodal}\:{analysis} \\ $$ Terms of Service Privacy…
Question Number 134523 by mohammad17 last updated on 04/Mar/21 $${let}\:{a},{b}\:{be}\:{any}\:{two}\:{elements}\:{in}\:{group}\:{G} \\ $$$${such}\:{that}\:\mid{a}\mid=\mathrm{4}\:,\mid{b}\mid=\mathrm{2}\:{and}\:{a}^{\mathrm{3}} {b}={ab} \\ $$$${find}\:\mid{ab}\mid\:? \\ $$$${help}\:{me}\:{sir}\:{please} \\ $$ Commented by kaivan.ahmadi last updated on…