Question Number 130795 by mr W last updated on 29/Jan/21 Commented by mr W last updated on 29/Jan/21 $${find}\:{the}\:{locus}\:{of}\:{point}\:{P}. \\ $$ Answered by mr W…
Question Number 130782 by EDWIN88 last updated on 28/Jan/21 $${u}_{{n}+\mathrm{1}} \:=\:{u}_{{n}} \:+\mathrm{2}{u}_{{n}−\mathrm{1}} \:+\mathrm{2}{u}_{\mathrm{0}} \: \\ $$$${u}_{\mathrm{0}} =\mathrm{1}\:\Rightarrow{u}_{{n}} =? \\ $$ Commented by prakash jain last…
Question Number 130780 by LYKA last updated on 28/Jan/21 Commented by kaivan.ahmadi last updated on 29/Jan/21 $$\overset{\rightarrow} {{b}}=\left(\mathrm{2},−\mathrm{1},\mathrm{1}\right)\Rightarrow\mid\overset{\rightarrow} {{b}}\mid=\sqrt{\mathrm{6}}\Rightarrow\overset{\rightarrow} {{u}}=\frac{\overset{\rightarrow} {{b}}}{\mid\overset{\rightarrow} {{b}}\mid}=\left(\frac{\mathrm{2}}{\:\sqrt{\mathrm{6}}},\frac{−\mathrm{1}}{\:\sqrt{\mathrm{6}}},\frac{\mathrm{1}}{\:\sqrt{\mathrm{6}}}\right) \\ $$$$\bigtriangledown{f}=\left(\mathrm{3}{x}^{\mathrm{2}} −\mathrm{3}{yz},\mathrm{3}{y}^{\mathrm{2}}…
Question Number 130781 by EDWIN88 last updated on 28/Jan/21 $$\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\mathrm{ln}\:\left(\mathrm{1}+{x}+{x}^{\mathrm{2}} +{x}^{\mathrm{3}} +…+{x}^{{n}} \right)}{{x}}\:{dx}? \\ $$ Answered by mathmax by abdo last updated on…
Question Number 130778 by EDWIN88 last updated on 28/Jan/21 $$\int\:\frac{\mathrm{3}{x}^{\mathrm{2}} −\mathrm{1}}{{x}^{\mathrm{4}} −\mathrm{1}}\:{dx}\: \\ $$ Answered by bemath last updated on 29/Jan/21 $$\:\frac{\mathrm{3x}^{\mathrm{2}} −\mathrm{1}}{\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)}\:=\:\frac{\mathrm{3}\left(\mathrm{x}^{\mathrm{2}}…
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Question Number 65239 by Tawa1 last updated on 26/Jul/19 Commented by mr W last updated on 26/Jul/19 $$\mathrm{9}\left({D}−\mathrm{9}\right)=\mathrm{15}^{\mathrm{2}} \\ $$$${D}=\frac{\mathrm{15}^{\mathrm{2}} }{\mathrm{9}}+\mathrm{9}=\mathrm{34} \\ $$ Commented by…
Question Number 65235 by ajfour last updated on 26/Jul/19 Commented by ajfour last updated on 26/Jul/19 $${Find}\:{p},{q},{r}\:{in}\:{terms}\:{of}\:{a},{b},{c}. \\ $$ Commented by ajfour last updated on…
Question Number 130771 by mathmax by abdo last updated on 28/Jan/21 $$\mathrm{let}\:\mathrm{A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right)\mathrm{find}\:\mathrm{e}^{\mathrm{A}} \:\mathrm{and}\:\mathrm{e}^{−\mathrm{A}} \\ $$$$\left.\mathrm{2}\right)\mathrm{calculate}\:\mathrm{ch}\left(\mathrm{A}\right)\mathrm{and}\:\mathrm{sh}\left(\mathrm{A}\right) \\ $$ Answered by Olaf last updated on…