Question Number 47638 by tanmay.chaudhury50@gmail.com last updated on 12/Nov/18 $$\int_{\mathrm{0}} ^{\pi} \sqrt{\frac{\mathrm{1}+{cos}\mathrm{2}{x}}{\mathrm{2}}}\:\:{dx} \\ $$ Commented by prof Abdo imad last updated on 12/Nov/18 $${let}\:{A}\:=\int_{\mathrm{0}} ^{\pi}…
Question Number 47628 by 786786AM last updated on 12/Nov/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{first}\:\mathrm{term}\:\mathrm{and}\:\mathrm{n}^{\mathrm{th}} \:\mathrm{term}\:\mathrm{of}\:\mathrm{G}.\mathrm{P}.,\:\:\mathrm{are}\:\mathrm{a}\:\mathrm{and}\:\mathrm{b}\:\mathrm{respectively},\: \\ $$$$\mathrm{p}\:\mathrm{is}\:\mathrm{the}\:\mathrm{product}\:\mathrm{of}\:\mathrm{n}\:\mathrm{terms}.\:\mathrm{Prove}\:\mathrm{that}\:\mathrm{p}^{\mathrm{2}} \:=\:\left(\mathrm{ab}\right)^{\mathrm{n}} . \\ $$$$ \\ $$$$ \\ $$ Answered by math1967 last…
Question Number 47637 by tanmay.chaudhury50@gmail.com last updated on 12/Nov/18 $$\int_{\mathrm{0}} ^{\mathrm{1}} {sin}\left(\left[{x}\right]+\left[\mathrm{2}{x}\right]\right){dx} \\ $$ Commented by maxmathsup by imad last updated on 12/Nov/18 $${changement}\:\mathrm{2}{x}={t}\:{give}\:{I}\:=\frac{\mathrm{1}}{\mathrm{2}}\int_{\mathrm{0}} ^{\mathrm{2}}…
Question Number 178673 by Tawa11 last updated on 20/Oct/22 Answered by mr W last updated on 20/Oct/22 $${I}=\frac{{mr}^{\mathrm{2}} }{\mathrm{2}}+{mr}^{\mathrm{2}} =\frac{\mathrm{3}{mr}^{\mathrm{2}} }{\mathrm{2}} \\ $$$$\frac{{I}\omega^{\mathrm{2}} }{\mathrm{2}}={mgL}\mathrm{sin}\:\theta \\…
Question Number 47607 by tanmay.chaudhury50@gmail.com last updated on 12/Nov/18 $$\int_{{a}} ^{{b}} \frac{\mid{x}\mid}{{x}}{dx} \\ $$ Commented by maxmathsup by imad last updated on 12/Nov/18 $${case}\:\mathrm{1}\:\:\:{b}\geqslant{a}\geqslant\mathrm{0}\:\Rightarrow\:\int_{{a}} ^{{b}}…
Question Number 47590 by malwaan last updated on 12/Nov/18 $$\mathrm{f}\left(\mathrm{x}\right)=\mathrm{e}^{\mathrm{x}} \: \\ $$$$\mathrm{g}\left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2}} \\ $$$$\left(\mathrm{f}+\mathrm{g}\right)\left(\mathrm{x}\right)=? \\ $$$$\left(\mathrm{f}×\mathrm{x}\right)\left(\mathrm{x}\right)=? \\ $$$$\left(\mathrm{f}/\mathrm{g}\right)\left(\mathrm{x}\right)=? \\ $$ Commented by malwaan last…
Question Number 178639 by Mastermind last updated on 19/Oct/22 $$\mathrm{A}\:\mathrm{set}\:\mathrm{of}\:\mathrm{five}\:\mathrm{numbers}\:\mathrm{has}: \\ $$$$\mathrm{mode}\:\mathrm{24} \\ $$$$\mathrm{median}\:\mathrm{21} \\ $$$$\mathrm{mean}\:\mathrm{20} \\ $$$$\mathrm{what}\:\mathrm{are}\:\mathrm{the}\:\mathrm{five}\:\mathrm{numbers}? \\ $$ Terms of Service Privacy Policy…
Question Number 178609 by Tawa11 last updated on 18/Oct/22 Answered by mr W last updated on 19/Oct/22 $$\left({i}\right) \\ $$$$\frac{{mv}_{\mathrm{0}} ^{\mathrm{2}} }{\mathrm{2}}={mg}\:{s}\:\mathrm{sin}\:\theta+\mu\:{mg}\:\mathrm{cos}\:\theta\:{s} \\ $$$${s}=\frac{{v}_{\mathrm{0}} ^{\mathrm{2}}…
Question Number 47526 by sandeepkeshari0797@gmail.com last updated on 11/Nov/18 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 47477 by naka3546 last updated on 10/Nov/18 $${Let}\:\:{n}\:\:\in\:\:\mathbb{Z}^{+} \\ $$$${f}\left(\mathrm{1}\right)\:\:=\:\:\mathrm{1} \\ $$$${f}\left(\mathrm{2}{n}\right)\:\:=\:\:{f}\left({n}\right) \\ $$$${f}\left(\mathrm{2}{n}+\mathrm{1}\right)\:\:=\:\:\left({f}\left({n}\right)\right)^{\mathrm{2}} \:−\:\mathrm{2} \\ $$$${f}\left(\mathrm{1}\right)\:+\:{f}\left(\mathrm{2}\right)\:+\:{f}\left(\mathrm{3}\right)\:+\:\ldots+\:{f}\left(\mathrm{100}\right)\:\:=\:\:… \\ $$ Answered by MJS last…