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Author: Tinku Tara

The-number-of-words-can-be-made-formed-using-all-letters-in-the-word-amutasia-by-not-containing-the-three-vowels-side-by-side-is-

Question Number 77777 by jagoll last updated on 10/Jan/20 $${The}\:{number} \\ $$$${of}\:{words}\:{can}\:{be}\:{made}\:{formed} \\ $$$${using}\:{all}\:{letters}\:{in}\:{the}\:{word} \\ $$$$'{amutasia}'\:{by}\:{not}\:{containing} \\ $$$${the}\:{three}\:{vowels}\:{side}\:{by}\:{side}\:{is}\:? \\ $$ Answered by mr W last…

Hello-please-how-can-we-calculate-the-yield-in-of-ohmic-conductor-in-actif-circuit-with-Battery-with-his-resistance-and-a-motor-with-his-resistance-knowing-theirs-caracteristics-and-the-inten

Question Number 77765 by mathocean1 last updated on 09/Jan/20 $$\mathrm{Hello}\: \\ $$$$\mathrm{please}\:\mathrm{how}\:\mathrm{can}\:\mathrm{we}\:\mathrm{calculate}\:\mathrm{the}\:\mathrm{yield} \\ $$$$\mathrm{in}\:\%\:\mathrm{of}\:\mathrm{ohmic}\:\mathrm{conductor}\:\mathrm{in}\:\mathrm{actif}\:\mathrm{circuit}\: \\ $$$$\mathrm{with}\:\mathrm{Battery}\left(\:\mathrm{with}\:\mathrm{his}\:\mathrm{resistance}\right) \\ $$$$\mathrm{and}\:\mathrm{a}\:\mathrm{motor}\left(\:\mathrm{with}\:\mathrm{his}\:\mathrm{resistance}\right) \\ $$$$\mathrm{knowing}\:\:\mathrm{theirs}\:\mathrm{caracteristics}\:\mathrm{and} \\ $$$$\mathrm{the}\:\mathrm{intensity}? \\ $$$$\mathrm{I}\:\mathrm{need}\:\mathrm{a}\:\mathrm{formula}. \\…

Montrer-que-n-n-1-

Question Number 143296 by lapache last updated on 12/Jun/21 $${Montrer}\:{que} \\ $$$$\Gamma\left({n}\right)=\left({n}−\mathrm{1}\right)! \\ $$$$ \\ $$ Answered by Olaf_Thorendsen last updated on 12/Jun/21 $$\mathrm{By}\:\mathrm{definition}\:\Gamma\left({z}\right)\:=\:\int_{\mathrm{0}} ^{\infty}…

Find-the-nth-term-of-this-sequence-3-18-45-84-135-

Question Number 12226 by tawa last updated on 16/Apr/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{this}\:\mathrm{sequence} \\ $$$$\mathrm{3},\:\mathrm{18},\:\mathrm{45},\:\mathrm{84},\:\mathrm{135}\:… \\ $$ Answered by ajfour last updated on 16/Apr/17 $${T}_{{n}} \:=\:\mathrm{3}\boldsymbol{{n}}\left(\mathrm{2}\boldsymbol{{n}}−\mathrm{1}\right)\:. \\ $$…

f-x-ln-1-ln-x-f-x-ln-f-x-Find-x-

Question Number 143293 by Huy last updated on 12/Jun/21 $${f}\left({x}\right)={ln}\left(\mathrm{1}+{ln}\left({x}\right)\right). \\ $$$${f}\left({x}\right)={ln}\left({f}'\left({x}\right)\right).{Find}\:{x} \\ $$ Answered by Olaf_Thorendsen last updated on 12/Jun/21 $${f}\left({x}\right)\:=\:\mathrm{ln}\left(\mathrm{1}+\mathrm{ln}{x}\right) \\ $$$${f}'\left({x}\right)\:=\:\frac{\frac{\mathrm{1}}{{x}}}{\mathrm{1}+\mathrm{ln}{x}} \\…