Question Number 63588 by ajfour last updated on 05/Jul/19 Commented by ajfour last updated on 05/Jul/19 $${If}\:{released}\:{as}\:{shown},\:{find}\:{time} \\ $$$${taken}\:{by}\:{the}\:{small}\:{block}\:{to}\:{slide} \\ $$$${down}\:{the}\:{frictionless}\:{track}\:{till}\:{O}. \\ $$ Answered by…
Question Number 129120 by liberty last updated on 13/Jan/21 $$\:\:\underset{\left({x},\mathrm{y}\right)\rightarrow\left(\infty,\infty\right)} {\mathrm{lim}}\left(\frac{\pi}{\mathrm{2}}\:−\mathrm{arctan}\:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)\right)^{\frac{\mathrm{1}}{\mathrm{ln}\:\left(\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} \right)}} =? \\ $$ Answered by benjo_mathlover last updated on 13/Jan/21…
Question Number 63579 by Tawa1 last updated on 05/Jul/19 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{\mathrm{2}^{\mathrm{sec}\left(\mathrm{x}\right)} \:−\:\mathrm{2}^{\mathrm{cos}\left(\mathrm{x}\right)} }{\mathrm{x}^{\mathrm{2}} } \\ $$ Commented by Prithwish sen last updated on 05/Jul/19 $$\because\:\mathrm{form}\:\frac{\mathrm{0}}{\mathrm{0}\:}\:\mathrm{applying}\:\mathrm{L}'\mathrm{Hopital}…
Question Number 129110 by math178 last updated on 12/Jan/21 Commented by math178 last updated on 12/Jan/21 $${differential}\:{equation}\:{general}\:{solver}\:?\:{thank}\:{you} \\ $$ Answered by mr W last updated…
Question Number 63574 by Tawa1 last updated on 05/Jul/19 $$\mathrm{prove}\:\mathrm{that}\:\:\:\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\infty} {\sum}}\:\:\frac{\mathrm{1}}{\mathrm{k}\left(\mathrm{2k}\:+\:\mathrm{1}\right)}\:\:=\:\:\mathrm{2}\:−\:\mathrm{2ln}\left(\mathrm{2}\right) \\ $$ Commented by mathmax by abdo last updated on 05/Jul/19 $${the}\:{H}_{{n}} \:{method}\:\:{let}\:{S}_{{n}}…
Question Number 63573 by Tawa1 last updated on 05/Jul/19 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 63570 by mr W last updated on 05/Jul/19 Commented by mathmax by abdo last updated on 05/Jul/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \left(−\mathrm{1}\right)^{{x}} {dx}\:=\int_{\mathrm{0}} ^{\mathrm{1}} \:{e}^{{i}\pi{x}}…
Question Number 129105 by I want to learn more last updated on 12/Jan/21 $$\int_{\:\:\mathrm{0}} ^{\:\frac{\pi}{\mathrm{4}}} \:\sqrt{\mathrm{tan}\:\mathrm{x}\left(\mathrm{1}\:\:−\:\:\mathrm{tan}\:\mathrm{x}\right)}\:\:\mathrm{dx} \\ $$ Answered by Lordose last updated on 13/Jan/21…
Question Number 129102 by AbdulAzizabir last updated on 12/Jan/21 Answered by Olaf last updated on 12/Jan/21 $$\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}{k}^{\mathrm{2}} \:=\:\left\{\mathrm{1},\:\mathrm{5},\:\mathrm{14},\:\mathrm{30},\:\mathrm{55},…\right\}\:=\:\frac{{n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)}{\mathrm{6}} \\ $$$$\mathrm{S}\:=\:\frac{\mathrm{2}}{\mathrm{3}}\left(\frac{\mathrm{1}}{\mathrm{4}}−\frac{\mathrm{1}}{\mathrm{20}}+\frac{\mathrm{1}}{\mathrm{56}}−\frac{\mathrm{1}}{\mathrm{120}}+\frac{\mathrm{1}}{\mathrm{220}}−…\right) \\ $$$$\mathrm{S}\:=\:\frac{\mathrm{1}}{\mathrm{6}}\left(\frac{\mathrm{1}}{\mathrm{1}}−\frac{\mathrm{1}}{\mathrm{5}}+\frac{\mathrm{1}}{\mathrm{14}}−\frac{\mathrm{1}}{\mathrm{30}}+\frac{\mathrm{1}}{\mathrm{55}}−…\right) \\…
Question Number 129103 by Study last updated on 12/Jan/21 $${how}\:{is}\:{the}\:{significant}\:{figures}\:{in} \\ $$$$\mathrm{132}+\mathrm{32}.\mathrm{67}+\mathrm{23}+\mathrm{566}?? \\ $$ Answered by physicstutes last updated on 12/Jan/21 $$\mathrm{number}\:\mathrm{of}\:\mathrm{significant}\:\mathrm{figures}\:\mathrm{in}\:\mathrm{your}\:\mathrm{answer}\:\mathrm{should}\:\mathrm{2} \\ $$$$\mathrm{that}\:\mathrm{correspond}\:\mathrm{to}\:\mathrm{the}\:\mathrm{smallest}\:\mathrm{significant}\:\mathrm{number}. \\…