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The-nearest-distance-of-0-3-to-curve-y-6-x-2-is-

Question Number 83445 by naka3546 last updated on 02/Mar/20 $${The}\:\:{nearest}\:\:{distance}\:\:{of}\:\:\left(\mathrm{0},\:\mathrm{3}\right)\:\:{to}\:\:{curve}\:\::\:\:{y}\:=\:\:\mathrm{6}\:−\:{x}^{\mathrm{2}} \:\:{is}\:\:… \\ $$ Commented by MJS last updated on 02/Mar/20 $${P}=\begin{pmatrix}{{x}}\\{{y}}\end{pmatrix}\:=\begin{pmatrix}{{x}}\\{\mathrm{6}−{x}^{\mathrm{2}} }\end{pmatrix};\:\mathrm{distance}^{\mathrm{2}} \:\mathrm{is}\:{x}^{\mathrm{2}} +\left(\mathrm{3}−{x}^{\mathrm{2}} \right)^{\mathrm{2}}…

find-the-resideo-f-z-z-z-n-1-

Question Number 148960 by tabata last updated on 01/Aug/21 $${find}\:{the}\:{resideo}\:{f}\left({z}\right)=\frac{{z}}{{z}^{{n}} −\mathrm{1}} \\ $$ Answered by mathmax by abdo last updated on 02/Aug/21 $$\mathrm{les}\:\mathrm{residus}\:\mathrm{ici}\:\mathrm{sont}\:\mathrm{les}\:\mathrm{poles}\:\mathrm{de}\:\mathrm{f}\:\:\mathrm{et}\:\mathrm{se}\:\mathrm{sent}\:\mathrm{les}\:\mathrm{racines}\:\mathrm{n}^{\mathrm{eme}} \:\mathrm{de}\:\mathrm{lunite} \\…

prove-that-2-3-2n-2-3-2n-is-an-even-integer-and-that-2-3-2n-2-3-2n-w-3-for-some-integers-w-for-all-integer-n-1-

Question Number 17867 by Mr easymsn last updated on 11/Jul/17 $${prove}\:{that}\:\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} +\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} {is}\:{an} \\ $$$${even}\:{integer}\:{and}\:{that}\:\left(\mathrm{2}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} −\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{2}{n}} ={w}\sqrt{\mathrm{3}} \\ $$$${for}\:{some}\:{integers}\:{w},{for}\:{all}\:{integer}\:{n}\geqslant\mathrm{1}. \\ $$$$ \\ $$ Answered by…

Question-148917

Question Number 148917 by DELETED last updated on 01/Aug/21 Answered by DELETED last updated on 01/Aug/21 $$\mathrm{R}_{\mathrm{s2}} =\mathrm{16}+\mathrm{4}+\mathrm{5}=\mathrm{25}\:\Omega \\ $$$$\mathrm{i}_{\mathrm{total}} =\frac{\mathrm{V}}{\mathrm{R}_{\mathrm{s2}} }=\frac{\mathrm{12}.\mathrm{5}}{\mathrm{25}}\:=\:\mathrm{0}.\mathrm{5}\:\mathrm{A} \\ $$$$\mathrm{i}_{\mathrm{total}} =\mathrm{i}_{\mathrm{p}}…

Question-148915

Question Number 148915 by DELETED last updated on 01/Aug/21 Answered by DELETED last updated on 01/Aug/21 $$\frac{\mathrm{1}}{\mathrm{Rp}}\:=\:\frac{\mathrm{1}}{\mathrm{8}}+\frac{\mathrm{1}}{\mathrm{8}}=\frac{\mathrm{2}}{\mathrm{8}}=\frac{\mathrm{1}}{\mathrm{4}} \\ $$$$\mathrm{Rp}=\mathrm{4}\:\Omega \\ $$$$ \\ $$$$\mathrm{V}_{\mathrm{p}} =\mathrm{V}_{\mathrm{rs1}} =\mathrm{2}\:\mathrm{Vol}…