Question Number 137252 by mey3nipaba last updated on 31/Mar/21 $$\mathrm{Decompose}\:\mathrm{the}\:\mathrm{function}\:\mathrm{P}\left(\mathrm{x}\right)\:=\:\frac{\mathrm{x}^{\mathrm{4}} +\mathrm{2x}^{\mathrm{3}} +\mathrm{6x}^{\mathrm{2}} +\mathrm{20x}+\mathrm{6}}{\mathrm{x}^{\mathrm{3}} +\mathrm{x}^{\mathrm{2}} +\mathrm{x}}\: \\ $$$$\mathrm{in}\:\mathrm{partial}\:\mathrm{fractions}. \\ $$ Answered by bemath last updated on…
Question Number 6164 by sanusihammed last updated on 16/Jun/16 $${A}\:{stone}\:{is}\:{thrown}\:{vertically}\:{upwards}\:{with}\:{velocity}\:\mathrm{20}{m}/{s}. \\ $$$${at}\:{the}\:{same}\:{time}\:,\:{and}\:\mathrm{20}{m}\:{vertically}\:{above}\:.\:{a}\:{second}\:{stone}\:{is} \\ $$$${allowed}\:{to}\:{fall}.\:{After}\:{whst}\:{time}\:{and}\:{at}\:{what}\:{height}\:{do}\:{they}\: \\ $$$${collide}\:?. \\ $$$${take}\:\:{g}\:=\:\mathrm{10}{m}/{s}^{\mathrm{2}} \\ $$ Commented by prakash jain last…
Question Number 137191 by Dwaipayan Shikari last updated on 30/Mar/21 $${Some}\:{useful}\:{approximations}\:{of}\:{sine}\:{function} \\ $$$${sin}\left(\frac{\pi}{\mathrm{7}}\right)=\frac{\mathrm{96}}{\mathrm{221}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{9}}\right)=\frac{\mathrm{128}}{\mathrm{373}} \\ $$$${sin}\left(\frac{\pi}{\mathrm{11}}\right)=\frac{\mathrm{32}}{\mathrm{113}} \\ $$$$… \\ $$$${I}\:{am}\:{counting}\:{more}\:..{thanking}\:{you}! \\ $$ Terms of…
Question Number 6076 by Rasheed Soomro last updated on 12/Jun/16 $${Question}\:{about}\:{Geogebra} \\ $$$$\bullet{I}\:{have}\:{drawn}\:{a}\:{circle}\:{in} \\ $$$${Geogebra}.\:{Now}\:{I}\:{want}\:{to} \\ $$$${fill}\:{it}\:{with}\:{colour}\:\left({because}\right. \\ $$$$\left.{I}\:{need}\:{a}\:{circular}\:{region}\right). \\ $$$${Is}\:{there}\:{a}\:{way}? \\ $$$$\bullet{Is}\:{there}\:{a}\:{way}\:{to}\:{fill}\:{with} \\ $$$${colour}\:{any}\:{closed}\:{figure}…
Question Number 6071 by Rasheed Soomro last updated on 11/Jun/16 $$\mathcal{SHARING}: \\ $$$$\mathrm{Martin}\:\mathrm{Gardner}\:\left(\mathrm{famous}\:\mathrm{mathematician}\right) \\ $$$$\mathrm{found}\:\mathrm{a}\:\mathrm{way}\:\mathrm{to}\:\mathrm{write}\:\mathrm{his}\:\mathrm{name}\:\mathrm{so}\:\mathrm{that}\:\mathrm{it}\:\mathrm{can} \\ $$$$\mathrm{also}\:\mathrm{be}\:\mathrm{read}\:\mathrm{upside}\:\:\mathrm{down}. \\ $$$$\mathrm{See}\:\mathrm{the}\:\mathrm{comment}\:\mathrm{below} \\ $$ Commented by Yozzii last…
Question Number 6044 by sanusihammed last updated on 10/Jun/16 $${Find}\:{the}\:{locus}\:{in}\:{the}\:{complex}\:{plain}\:{such}\:{that}\: \\ $$$${arg}\:\left(\frac{{z}}{{z}\:+\:\mathrm{2}}\right)\:=\:\frac{\Pi}{\mathrm{2}} \\ $$$$ \\ $$$${please}\:{help}. \\ $$ Commented by Yozzii last updated on 10/Jun/16…
Question Number 71564 by 20190927 last updated on 17/Oct/19 $$\left(\mathrm{z}−\mathrm{i}\right)^{\mathrm{4}} =−\mathrm{7}+\mathrm{24i} \\ $$ Commented by mathmax by abdo last updated on 18/Oct/19 $${we}\:{have}\:\mid−\mathrm{7}+\mathrm{24}{i}\mid=\sqrt{\mathrm{7}^{\mathrm{2}} \:+\mathrm{24}^{\mathrm{2}} }=\sqrt{\mathrm{49}+\mathrm{576}}=\sqrt{\mathrm{625}}=\mathrm{25}\:\Rightarrow…
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Question Number 5966 by Kasih last updated on 07/Jun/16 $${equation}\:\left(\mathrm{1}\right)\:\mathrm{2}{A}+\mathrm{5}{B}+{C}+\mathrm{29}=\mathrm{0} \\ $$$${equation}\:\left(\mathrm{2}\right)\:\mathrm{9}{A}+\mathrm{6}{B}+{C}+\mathrm{117}=\mathrm{0} \\ $$$${equation}\:\left(\mathrm{3}\right)\:\mathrm{3}{A}−\mathrm{2}{B}+{C}+\mathrm{13}=\mathrm{0} \\ $$$${A}=…?\:{B}=…?\:{C}=…? \\ $$ Answered by Ashis last updated on 07/Jun/16…
Question Number 5950 by sanusihammed last updated on 06/Jun/16 $${Prove}\:{that}\:\:\:{V}\:=\:\sqrt{\frac{{E}}{{p}}} \\ $$$$ \\ $$$${where}\:\:{E}\:=\:{young}\:{modulus}\:{and}\:{p}\:=\:{density} \\ $$ Commented by Yozzii last updated on 07/Jun/16 $${What}\:{is}\:{V}?\:{Volume}? \\…