Question Number 2284 by Yozzi last updated on 13/Nov/15 $${Define}\:{a}\:{curve}\:{E}\:{by}\:{the}\:{parametric} \\ $$$${equations} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\left({t}\right)=\int_{{g}_{\mathrm{1}} \left({t}\right)} ^{{h}_{\mathrm{1}} \left({t}\right)} {f}_{\mathrm{1}} \left({u}\right){du} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{y}\left({t}\right)=\int_{{g}_{\mathrm{2}} \left({t}\right)} ^{{h}_{\mathrm{2}} \left({t}\right)} {f}_{\mathrm{2}}…
Question Number 133353 by Ahmed1hamouda last updated on 21/Feb/21 Commented by Ahmed1hamouda last updated on 21/Feb/21 $$\:\boldsymbol{{solve}}\:\boldsymbol{{the}}\:\boldsymbol{{differential}}\:\boldsymbol{{equation}}\mathrm{s} \\ $$ Answered by mathmax by abdo last…
Question Number 67819 by ajfour last updated on 31/Aug/19 $${y}={x}^{\mathrm{5}} +{ax}^{\mathrm{4}} +{bx}^{\mathrm{3}} +{cx}^{\mathrm{2}} +{dx}+{e} \\ $$$${If}\:{we}\:{let}\:{x}={t}+{h} \\ $$$${can}\:{we}\:{find}\:{h}\:{in}\:{terms}\:{of}\:{a},{b},{c},{d},{e} \\ $$$${such}\:{that} \\ $$$${y}=\left({t}+{R}\right)\left({t}^{\mathrm{2}} +{pt}+{q}\right)\left({t}^{\mathrm{2}} +{s}\right) \\…
Question Number 133351 by bramlexs22 last updated on 21/Feb/21 Answered by mr W last updated on 22/Feb/21 $${a}=\mathrm{1},\:{b}=\mathrm{2},\:{c}=\sqrt{\mathrm{5}} \\ $$$$\Rightarrow{A}=\mathrm{1} \\ $$ Terms of Service…
Question Number 67813 by mr W last updated on 31/Aug/19 Commented by mr W last updated on 31/Aug/19 $${shaded}\:{area}\:{A}=? \\ $$ Commented by Prithwish sen…
Question Number 2275 by Filup last updated on 13/Nov/15 $$\mathrm{Is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{way}\:\mathrm{to}\:\mathrm{evaluate}\:\mathrm{the}\:\mathrm{following}: \\ $$$$ \\ $$$${S}=\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+…}}}} \\ $$ Answered by Rasheed Soomro last updated on 13/Nov/15 $${S}=\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+\sqrt{\mathrm{2}+…}}}}…
Question Number 133344 by Dwaipayan Shikari last updated on 21/Feb/21 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{{cos}\left(\frac{{n}}{\pi}\right)}{{n}^{\mathrm{4}} }=−\frac{\mathrm{1}}{\mathrm{48}\pi^{\mathrm{4}} }+\frac{\mathrm{1}}{\mathrm{12}}\left(\mathrm{1}−\frac{\mathrm{1}}{\pi^{\mathrm{2}} }\right)+\frac{\pi^{\mathrm{4}} }{\mathrm{90}} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 133347 by rs4089 last updated on 21/Feb/21 $${for}\:{a}\:{triangle}\:{ABC}\:… \\ $$$${find}\:{minimum}\:{value}\:{of}\: \\ $$$${CosA}.{CosB}.{CosC} \\ $$ Commented by mr W last updated on 21/Feb/21 $${i}\:{think}\:{there}\:{is}\:{no}\:{minimum},…
Question Number 2273 by RasheedAhmad last updated on 12/Nov/15 $${Sum}\:{to}\:{n}\:{terms}. \\ $$$$\frac{\mathrm{1}}{\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{1}+\mathrm{2}+\mathrm{3}}… \\ $$ Answered by Yozzi last updated on 12/Nov/15 $${For}\:{an}\:{A}.{P}\:{with}\:{first}\:{term}\:{a}\:{and} \\ $$$${common}\:{difference}\:{d},\:{its}\:{sum}\:{to}\:{n} \\…
Question Number 133346 by bramlexs22 last updated on 21/Feb/21 $$\:\mathrm{Find}\:\mathrm{modulus}\:\mathrm{and}\:\mathrm{argumen}\:\mathrm{of}\: \\ $$$$\:\mathrm{z}\:=\:\frac{\left(\mathrm{1}−{i}\right)^{\mathrm{4}} \left(\sqrt{\mathrm{3}}+{i}\right)^{\mathrm{7}} }{\left(\mathrm{1}+{i}\sqrt{\mathrm{2}}\right)^{\mathrm{8}} \left(−\mathrm{1}−{i}\sqrt{\mathrm{3}}\right)^{\mathrm{12}} } \\ $$ Answered by mathmax by abdo last updated…