Question Number 87316 by TawaTawa1 last updated on 03/Apr/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 21781 by Tinkutara last updated on 03/Oct/17 $$\mathrm{Which}\:\mathrm{is}\:\mathrm{greater}\:\mathrm{10}^{\mathrm{11}} \:\mathrm{or}\:\mathrm{11}^{\mathrm{10}} ? \\ $$ Answered by Joel577 last updated on 03/Oct/17 $$\:\:\:\:\:\:\:\:\:\:\mathrm{10}^{\mathrm{11}} \:…\:\mathrm{11}^{\mathrm{10}} \\ $$$$\mathrm{11}\:\mathrm{log}\:\mathrm{10}\:…\:\mathrm{10}\:\mathrm{log}\:\mathrm{11}…
Question Number 152848 by 0731619 last updated on 02/Sep/21 Commented by hknkrc46 last updated on 02/Sep/21 $$\boldsymbol{{Wrong}}\:!!! \\ $$$$\sqrt{\mathrm{12}}\:+\:\cancel{\sqrt{\mathrm{18}}}\:\rightarrow\:\sqrt{\mathrm{12}}\:+\:\sqrt{\mathrm{16}} \\ $$ Commented by hknkrc46 last…
Question Number 87313 by mr W last updated on 03/Apr/20 $${a},{b},{c}=\mathrm{1},\mathrm{2},\mathrm{3},…,{n} \\ $$$${find}\:\underset{{a}\neq{b}\neq{c}} {\sum}{abc} \\ $$ Commented by mr W last updated on 04/Apr/20 $${yes},\:{you}\:{are}\:{right}.…
Question Number 152845 by BHOOPENDRA last updated on 02/Sep/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 152844 by bobhans last updated on 02/Sep/21 $$\:\:\:\:\:\:\:\:\:\:\:{simplify}\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{3}^{{x}} \:+\:\mathrm{63}}{\mathrm{21}^{{x}−\mathrm{2}} \:+\:\mathrm{7}^{{x}−\mathrm{1}} }\: \\ $$ Answered by Rasheed.Sindhi last updated on 02/Sep/21 $$\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{3}^{{x}}…
Question Number 87308 by Rio Michael last updated on 03/Apr/20 $$\:\mathrm{A}\:\mathrm{sequence}\:\left({U}_{{n}} \right)\:\mathrm{is}\:\mathrm{defined}\:\mathrm{reculsively}\:\mathrm{as}\: \\ $$$$\:{U}_{{o}} \:=\:\frac{\mathrm{1}}{\mathrm{2}}\:\mathrm{and}\:{U}_{{n}+\mathrm{1}} \:=\:\frac{\mathrm{2}}{\mathrm{1}\:+\:{U}_{{n}} }\:\mathrm{for}\:\mathrm{n}\:\in\:\mathbb{N} \\ $$$$\left.\:\mathrm{a}\right)\:\mathrm{Show}\:\mathrm{by}\:\mathrm{mathematical}\:\mathrm{induction}\:\mathrm{that}\:\mathrm{all}\:\mathrm{terms}\:\mathrm{in}\:\mathrm{the}\:\mathrm{sequence} \\ $$$$\:\:\:\:\:\mathrm{are}\:\mathrm{positive}. \\ $$$$\left.\mathrm{b}\right)\:\mathrm{Given}\:\mathrm{that}\:\mathrm{the}\:\mathrm{sequence}\:\left({U}_{{n}} \right)\:\mathrm{is}\:\mathrm{convergent},\:\mathrm{show}\:\mathrm{that}\:\mathrm{the}\:\mathrm{limit},{l},\:\mathrm{is} \\…
Question Number 21772 by j.masanja06@gmail.com last updated on 03/Oct/17 $${integrate} \\ $$$$\int\mathrm{2}^{\mathrm{4}{x}} {dx} \\ $$ Answered by mrW1 last updated on 03/Oct/17 $$\int\mathrm{2}^{\mathrm{4x}} \mathrm{dx} \\…
Question Number 152841 by 0731619 last updated on 02/Sep/21 Answered by bobhans last updated on 02/Sep/21 $$\left(\mathrm{2}\right)\frac{\mathrm{1}}{\mathrm{4}}\int\:\mathrm{sin}\:^{\mathrm{2}} \left(\mathrm{2}{x}\right)\:{dx}\:= \\ $$$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\int\:\frac{\mathrm{1}−\mathrm{cos}\:\left(\mathrm{4}{x}\right)}{\mathrm{2}}\:{dx}\:= \\ $$$$\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\left(\frac{{x}}{\mathrm{2}}−\frac{\mathrm{1}}{\mathrm{8}}\mathrm{sin}\:\left(\mathrm{4}{x}\right)\right)+\:{c}\:= \\ $$$$\:\:\:\:\:\frac{{x}}{\mathrm{8}}−\frac{\mathrm{sin}\:\left(\mathrm{4}{x}\right)}{\mathrm{32}}\:+\:{c} \\…
Question Number 87306 by abdomathmax last updated on 03/Apr/20 $${calculate}\:{by}\:{complex}\:{method}\:\int_{\mathrm{1}} ^{+\infty} \:\frac{{xdx}}{{x}^{\mathrm{4}} \:+\mathrm{1}} \\ $$ Commented by Ar Brandon last updated on 03/Apr/20 $${My}\:\:{suggestion} \\…