Question Number 133688 by mnjuly1970 last updated on 23/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:#\:\:\:{calculus}\:# \\ $$$$\:\:\:\:\:\:\:{find}:\: \\ $$$$\:\:\:\:\:\:\:\boldsymbol{\phi}=\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \frac{{dx}}{{sin}^{\mathrm{10}} \left({x}\right)+{cos}^{\mathrm{10}} \left({x}\right)}\:=??? \\ $$$$ \\ $$ Answered by Ar…
Question Number 68150 by TawaTawa last updated on 06/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 68149 by ~ À ® @ 237 ~ last updated on 06/Sep/19 $$\:{Explicit}\:\:\:{f}\left({a}\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\:\:\frac{\left(−\mathrm{1}\right)^{{n}} }{{n}\left({an}+\mathrm{1}\right)}\:\:\:\: \\ $$ Commented by turbo msup by…
Question Number 133682 by bramlexs22 last updated on 23/Feb/21 Commented by bramlexs22 last updated on 23/Feb/21 $$\mathrm{i}\:\mathrm{post}\:\mathrm{again}\:\mathrm{from}\:\mathrm{mr}\:\mathrm{Liberty} \\ $$ Commented by liberty last updated on…
Question Number 68145 by Joel122 last updated on 06/Sep/19 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{arc}\:\mathrm{length},\:\mathrm{given}\:\mathrm{the}\:\mathrm{curve} \\ $$$${x}\left({t}\right)\:=\:\mathrm{sin}\:\left(\pi{t}\right),\:\:{y}\left({t}\right)\:=\:{t}\:,\:\:\mathrm{0}\:\leqslant\:{t}\:\leqslant\:\mathrm{1} \\ $$ Commented by Joel122 last updated on 06/Sep/19 $${x}'\left({t}\right)\:=\:\pi\:\mathrm{cos}\:\left(\pi{t}\right),\:{y}'\left({t}\right)\:=\:\mathrm{1} \\ $$$$ \\…
Question Number 133679 by Ar Brandon last updated on 23/Feb/21 Commented by Ar Brandon last updated on 23/Feb/21 $$\mathrm{If}\:\mathrm{M}\:\mathrm{is}\:\mathrm{orthocenter},\:\mathrm{prove}\:\mathrm{that} \\ $$$$\frac{\mathrm{Area}\left[\mathrm{ABC}\right]}{\mathrm{Area}\left[\mathrm{A}''\mathrm{B}''\mathrm{C}''\right]}=\frac{\mathrm{1}}{\mathrm{4}} \\ $$ Commented by…
Question Number 68141 by MJS last updated on 06/Sep/19 $$\mathrm{the}\:\mathrm{2}\:\mathrm{formulas}\:\mathrm{for}\:\mathrm{solving}\:\int\frac{{dx}}{{x}^{\mathrm{3}} +{px}+{q}}\:\mathrm{with} \\ $$$$“\mathrm{nasty}''\:\mathrm{solutions}\:\mathrm{of}\:{x}^{\mathrm{3}} +{px}+{q}=\mathrm{0}\:\mathrm{with}\:{p},\:{q}\:\in\mathbb{R} \\ $$$$ \\ $$$$\mathrm{case}\:\mathrm{1} \\ $$$${D}=\frac{{p}^{\mathrm{3}} }{\mathrm{27}}+\frac{{q}^{\mathrm{2}} }{\mathrm{4}}>\mathrm{0}\:\Rightarrow\:{x}^{\mathrm{3}} +{px}+{q}=\mathrm{0}\:\mathrm{has}\:\mathrm{got}\:\mathrm{1}\:\mathrm{real} \\ $$$$\mathrm{and}\:\mathrm{2}\:\mathrm{conjugated}\:\mathrm{complex}\:\mathrm{solutions}…
Question Number 2604 by 123456 last updated on 23/Nov/15 $${f}\left({x},{y}\right)={f}\left({x}−\mathrm{1},{y}−{x}\right)+\mathrm{1} \\ $$$${f}\left({x},{y}\right)={ye}^{{x}} ,{x}\leqslant\mathrm{0} \\ $$$${f}\left(\mathrm{5},\mathrm{6}\right)=? \\ $$ Answered by Yozzis last updated on 23/Nov/15 $${f}\left(\mathrm{5},\mathrm{6}\right)={f}\left(\mathrm{4},\mathrm{1}\right)+\mathrm{1}…
Question Number 2603 by Yozzis last updated on 23/Nov/15 $${You}\:{have}\:{a}\:\mathrm{3}\:{litre}\:{jug}\:{and}\:{a}\:\mathrm{5}\:{litre}\:{jug}.\:{Make}\:\mathrm{4}\:{litres}. \\ $$ Answered by RasheedAhmad last updated on 23/Nov/15 $$\mathrm{2}×\left(\mathrm{5}\:{litre}\:{jug}\right)−\mathrm{2}×\left(\mathrm{3}\:{litre}\:{jug}\right) \\ $$$$=\mathrm{4}\:{litres} \\ $$ Commented…
Question Number 2602 by Yozzis last updated on 23/Nov/15 $${Solve}\:{the}\:{following}\:{d}.{e}\:{for}\:{v}\:{in}\:{terms}\:{of}\:{s} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{c}−{kv}={v}\frac{{dv}}{{ds}}. \\ $$$$ \\ $$ Answered by prakash jain last updated on 24/Nov/15 $$\frac{{vdv}}{{c}−{kv}}={ds}…