Question Number 115072 by A8;15: last updated on 23/Sep/20 Commented by A8;15: last updated on 23/Sep/20 please help with the solution Answered by 1549442205PVT last updated on 23/Sep/20 $$\mathrm{Opening}\:\mathrm{brackets}\:\mathrm{we}\:\mathrm{get}…
Question Number 115056 by A8;15: last updated on 23/Sep/20 Answered by 1549442205PVT last updated on 23/Sep/20 $$\:\frac{\boldsymbol{\mathrm{x}}}{\boldsymbol{\mathrm{y}}}=\sqrt{\mathrm{2}} \\ $$$$\mathrm{Given}\:\mathrm{CF}=\mathrm{x},\mathrm{BC}=\mathrm{AD}=\mathrm{y},\widehat {\mathrm{CED}}=\mathrm{90}° \\ $$$$\mathrm{We}\:\mathrm{have}\:\widehat {\mathrm{DCA}}=\widehat {\mathrm{ECF}}\left(\mathrm{hypothesis}\right) \\…
Question Number 115014 by mathdave last updated on 23/Sep/20 $${if}\:{I}_{{n}} =\int_{{x}} ^{\frac{\pi}{\mathrm{2}}} {x}\mathrm{cos}^{{n}} {xdx},{where}\:{n}\succ\mathrm{1}\:{show} \\ $$$${that}\:{I}_{{n}} =\frac{{n}\left({n}−\mathrm{1}\right){I}_{{n}−\mathrm{2}} −\mathrm{1}}{{n}^{\mathrm{2}} }\:{and}\:{then} \\ $$$${evaluate}\:\:\int_{{x}} ^{\frac{\pi}{\mathrm{2}}} {x}\mathrm{cos}^{\mathrm{8}} {xdx} \\…
Question Number 180545 by MathsFan last updated on 13/Nov/22 $$\:\boldsymbol{\mathrm{how}}\:\boldsymbol{\mathrm{do}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{prove}}\:\boldsymbol{\mathrm{for}} \\ $$$$\:\int\boldsymbol{\mathrm{cosec}}^{\mathrm{2}} \left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}}\:\:\:\:\:\:\:\:\boldsymbol{\mathrm{and}} \\ $$$$\:\int\boldsymbol{\mathrm{sec}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{tan}}\left(\boldsymbol{\mathrm{x}}\right)\boldsymbol{\mathrm{dx}} \\ $$$$\: \\ $$ Commented by Frix last updated on…
Question Number 115013 by mathdave last updated on 23/Sep/20 $${consider}\:{the}\:{change}\:{in}\:{the}\:{direction}\:{of} \\ $$$${a}\:{curve}\:{W}={f}\left(\theta\right)\:{between}\:{point}\:{A}\:{and} \\ $$$${B}.\:{Derive}\:{from}\:{first}\:{principle}\:{an} \\ $$$${expression}\:{for}\:{the}\:{radius}\:{of}\:{curvature} \\ $$$${R}\:{for}\:{the}\:{hyperbola} \\ $$ Terms of Service Privacy Policy…
Question Number 115011 by joki last updated on 23/Sep/20 $${given}\:{the}\:{quadratic}\:{function}\: \\ $$$${f}\left({x}\right)={x}+\mathrm{2}+{px}+{q}\:{where}\:{p}\:{and}\:{q}\:{are}?{integer}.{s} \\ $$$${let}\:{a},{b},\:{and}\:{c}\:{distinc}\:{integers}\:{such}\:{that} \\ $$$$\mathrm{2}^{\mathrm{2020}} \:\:{evenly}\:{divides}\:{f}\left({a}\right),{f}\left({b}\right),{and}\:{f}\left({c}\right),{but} \\ $$$$\mathrm{2}^{\mathrm{1000}} \:{does}\:{not}\:{divide}\:{b}−{a}\:{and}\:{also}\:{does}\:{not} \\ $$$${divide}\:{c}−{a}.{show}\:{that}\:\mathrm{2}^{\mathrm{1021}} \:{just}\:{divide}\:{b}−{c}? \\ $$…
Question Number 114988 by ZiYangLee last updated on 22/Sep/20 $$\mathrm{Prove}\:\mathrm{tan}^{\mathrm{2}} {x}=\mathrm{sin}^{\mathrm{2}} {x}+\mathrm{sec}^{\mathrm{2}} {x} \\ $$ Answered by Olaf last updated on 22/Sep/20 $$\mathrm{It}'\mathrm{s}\:\mathrm{false}\:\mathrm{sir}. \\ $$$$\mathrm{tan}^{\mathrm{2}}…
Question Number 180509 by yaslm last updated on 13/Nov/22 Answered by MJS_new last updated on 13/Nov/22 $${x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{5}\geqslant\mathrm{1}\:\Rightarrow\:{f}\left({x}\right)\:\mathrm{is}\:\mathrm{defined}\:\mathrm{for}\:{x}\in\mathbb{R} \\ $$$$\underset{{x}\rightarrow−\infty} {\mathrm{lim}}{f}\left({x}\right)\:=−\mathrm{3} \\ $$$$\underset{{x}\rightarrow+\infty} {\mathrm{lim}}{f}\left({x}\right)=\mathrm{3} \\…
Question Number 114971 by Algoritm last updated on 22/Sep/20 Commented by Dwaipayan Shikari last updated on 22/Sep/20 $${Depending}\:{on}\:{the}\:{value}\:{of}\:{x}\: \\ $$$$\mid{x}\mid>\mathrm{1}\:{it}\:{diverges} \\ $$ Commented by Algoritm…
Question Number 114967 by mohammad17 last updated on 22/Sep/20 Commented by mohammad17 last updated on 22/Sep/20 $${help}\:{me}\:{sir}\:{please} \\ $$ Terms of Service Privacy Policy Contact:…