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…
Question Number 134519 by sachin1221 last updated on 04/Mar/21 $${why}\:{sinx}\:{is}\:{not}\:{differentiable}\:{at}\:{x}={n}\pi \\ $$ Commented by JDamian last updated on 04/Mar/21 seriously? Answered by physicstutes last updated…
Question Number 68977 by TawaTawa last updated on 17/Sep/19 Commented by kaivan.ahmadi last updated on 17/Sep/19 $${one}\:{solved}\:{this}\:{problem}\:{later},{you}\:{can}\:{find}\:{it}. \\ $$$${the}\:{answer}\:{was}\:\mathrm{30}\:{degree} \\ $$ Commented by Prithwish sen…
Question Number 134509 by mohammad17 last updated on 04/Mar/21 Commented by mr W last updated on 04/Mar/21 $${a}\:{book}\:{full}\:{of}\:{misprint}… \\ $$ Commented by mohammad17 last updated…
Question Number 134511 by mohammad17 last updated on 04/Mar/21 Commented by mohammad17 last updated on 04/Mar/21 $${how}\:{can}\:{solve}\:{this} \\ $$ Commented by mohammad17 last updated on…