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Category: Relation and Functions

1-calculate-dx-x-1-3-x-2-3-2-decompose-the-fraction-F-x-1-x-1-3-x-2-3-

Question Number 86983 by mathmax by abdo last updated on 01/Apr/20 $$\left.\mathrm{1}\right)\:{calculate}\:\int\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \\ $$ Commented by hknkrc46 last updated…

let-the-mstrice-A-1-1-1-0-1-calculste-A-n-2-find-e-A-and-e-A-3-find-sin-A-and-cis-A-

Question Number 86960 by abdomathmax last updated on 01/Apr/20 $${let}\:{the}\:{mstrice}\:{A}\:\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\mathrm{1}}\\{−\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix} \\ $$$$\left.\mathrm{1}\right){calculste}\:{A}^{{n}} \\ $$$$\left.\mathrm{2}\right)\:{find}\:\:{e}^{{A}} \:{and}\:{e}^{−{A}} \\ $$$$\left.\mathrm{3}\right){find}\:{sin}\left({A}\right)\:{and}\:{cis}\left({A}\right) \\ $$ Commented by abdomathmax last updated on…

Question-152151

Question Number 152151 by john_santu last updated on 26/Aug/21 Answered by Rasheed.Sindhi last updated on 26/Aug/21 $${f}\left({x}\right)=\frac{{ax}+{b}}{{cx}+{d}} \\ $$$$\bullet{f}\left({f}\left({x}\right)\right)=\frac{{a}\left(\frac{{ax}+{b}}{{cx}+{d}}\right)+{b}}{{c}\left(\frac{{ax}+{b}}{{cx}+{d}}\right)+{d}}={x} \\ $$$$\:\:\:=\frac{{a}\left({ax}+{b}\right)+{b}\left({cx}+{d}\right)}{{c}\left({ax}+{b}\right)+{d}\left({cx}+{d}\right)}={x} \\ $$$${x}=\mathrm{0}:\:\frac{{ab}+{bd}}{{bc}+{d}^{\mathrm{2}} }=\mathrm{0} \\…

let-u-i-j-k-and-v-2i-j-3k-o-i-j-k-orthonormal-1-calculate-u-v-u-v-2-calculate-cos-u-v-3-calculate-u-v-and-sin-u-v-

Question Number 86406 by mathmax by abdo last updated on 28/Mar/20 $${let}\:\:\overset{\rightarrow} {{u}}=\overset{\rightarrow} {{i}}−\overset{\rightarrow} {{j}}\:+\overset{\rightarrow} {{k}}\:{and}\:\overset{\rightarrow} {{v}}=\mathrm{2}\overset{\rightarrow} {{i}}+\overset{\rightarrow} {{j}}\:+\mathrm{3}\overset{\rightarrow} {{k}} \\ $$$$\left({o},{i},{j},{k}\right)\:{orthonormal} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:\:\mid\mid\overset{\rightarrow} {{u}}\mid\mid\:\:,\mid\mid\overset{\rightarrow}…