Question Number 126603 by Ar Brandon last updated on 22/Dec/20 $$\mathrm{If}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{positive}\:\mathrm{error}\:\mathrm{in}\:\mathrm{the}\:\mathrm{measurement} \\ $$$$\mathrm{of}\:\mathrm{velocity}\:\mathrm{of}\:\mathrm{a}\:\mathrm{body},\:\mathrm{then}\:\mathrm{the}\:\mathrm{error}\:\mathrm{in}\:\mathrm{the}\:\mathrm{measure}- \\ $$$$\mathrm{ment}\:\mathrm{of}\:\mathrm{kinetic}\:\mathrm{energy}\:\mathrm{is} \\ $$ Answered by Olaf last updated on 22/Dec/20 $$\mathrm{E}\:=\:\frac{\mathrm{1}}{\mathrm{2}}{mv}^{\mathrm{2}}…
Question Number 192138 by Mastermind last updated on 09/May/23 $$\mathrm{show}\:\mathrm{that}\: \\ $$$$\mathrm{f}\left(\mathrm{x},\mathrm{y}\right)\:=\:\left\{_{\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{x},\mathrm{y}\right)=\left(\mathrm{0},\mathrm{0}\right)} ^{\frac{\mathrm{x}^{\mathrm{2}} \mathrm{y}}{\mathrm{x}^{\mathrm{6}} \:+\:\mathrm{2y}^{\mathrm{2}} }\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{x},\mathrm{y}\right)\neq\:\left(\mathrm{0},\mathrm{0}\right)} \right. \\ $$$$\mathrm{has}\:\mathrm{a}\:\mathrm{directional}\:\mathrm{derivative}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{direction}\:\mathrm{of}\:\mathrm{an}\:\mathrm{arbitrary}\:\mathrm{unit}\:\mathrm{vector} \\ $$$$\phi\:\mathrm{at}\:\left(\mathrm{0},\mathrm{0}\right),\:\mathrm{but}\:\mathrm{f}\:\:\mathrm{is}\:\mathrm{not}\:\mathrm{continous}\:\mathrm{at}\:\left(\mathrm{0},\mathrm{0}\right)\: \\ $$…
Question Number 126601 by Lordose last updated on 22/Dec/20 $$\int_{\frac{\mathrm{1}}{\mathrm{n}}} ^{\:\frac{\mathrm{3}}{\mathrm{n}}} \mathrm{log}\left(\Gamma\left(\mathrm{x}\right)\right)\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 192132 by Red1ight last updated on 09/May/23 $$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{nearest}\:\mathrm{point}\:\mathrm{in}\:{f}\left({x}\right)\:\mathrm{to}\:\left(\mathrm{5},\mathrm{2}\right) \\ $$$$\mathrm{where}\:{f}\left({x}\right)=−\mathrm{0}.\mathrm{5}{x}^{\mathrm{2}} +\mathrm{3} \\ $$ Answered by mehdee42 last updated on 09/May/23 $${according}\:{to}\:{the}\:{diagram}: \\ $$$${let}\::{H}\left({h},{f}\left({h}\right)\right)\:\:…
Question Number 126599 by liberty last updated on 22/Dec/20 $$\:\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\:\left({x}+\:\sqrt{\frac{{x}^{\mathrm{3}} }{{x}−\mathrm{1}}}\:\right) \\ $$ Answered by bramlexs22 last updated on 22/Dec/20 $$\:\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left({x}+{x}\sqrt{\frac{{x}}{{x}−\mathrm{1}}}\:\right)\:= \\ $$$$\underset{{x}\rightarrow\infty}…
Question Number 61061 by Gulay last updated on 28/May/19 Commented by Gulay last updated on 28/May/19 $$\mathrm{AB}=\mathrm{6}\:\:\mathrm{AC}=\mathrm{12}\:\mathrm{and}\:\mathrm{BC}=\mathrm{15}\:\:\mathrm{Find} \\ $$$$\frac{\mathrm{Saec}}{\mathrm{Sedc}} \\ $$ Answered by ajfour last…
Question Number 192134 by mustafazaheen last updated on 09/May/23 $$\mathrm{when}\:\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)^{\mathrm{7}} =\sqrt{\mathrm{57125}}+\sqrt{\mathrm{57124}} \\ $$$$\mathrm{then}\:\:\:\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)^{\mathrm{7}} =? \\ $$ Answered by som(math1967) last updated on 09/May/23 $$\:\:\left(\sqrt{\mathrm{2}}−\mathrm{1}\right)\left(\sqrt{\mathrm{2}}+\mathrm{1}\right)=\mathrm{1} \\…
Question Number 192129 by universe last updated on 08/May/23 $$\:{prove}\:{that} \\ $$$$\:\mid{a}+\sqrt{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }\mid\:+\:\mid{a}\:−\:\sqrt{{a}^{\mathrm{2}} −{b}^{\mathrm{2}} }\mid\:=\:\mid{a}+{b}\mid\:+\mid{a}−{b}\mid \\ $$$${a},{b}\:\in\:\mathbb{C} \\ $$ Answered by AST last updated…
Question Number 61056 by Tawa1 last updated on 28/May/19 $$\int\:\frac{\mathrm{x}\:+\:\mathrm{sin}\left(\mathrm{x}\right)}{\mathrm{1}\:+\:\mathrm{cos}\left(\mathrm{x}\right)}\:\mathrm{dx} \\ $$ Answered by perlman last updated on 28/May/19 $${cos}\left({x}\right)=\mathrm{2}{cos}^{\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right)−\mathrm{1} \\ $$$$\frac{{x}+{sin}\left({x}\right)}{\mathrm{1}+{cos}\left({x}\right)}=\frac{{x}+{sin}\left({x}\right)}{\mathrm{2}{cos}^{\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right)}=\frac{{x}}{\mathrm{2}{cos}^{\mathrm{2}} \left(\frac{{x}}{\mathrm{2}}\right)}+\frac{\mathrm{2}{sin}\left(\frac{{x}}{\mathrm{2}}\right){cos}\left(\frac{{x}}{\mathrm{2}}\right)}{\mathrm{2}{cos}^{\mathrm{2}}…
Question Number 126588 by MathSh last updated on 22/Dec/20 $$\Sigma\:\frac{\mathrm{1}}{\:\sqrt{{n}}}\:{ln}\:\frac{\mathrm{2}{n}+\mathrm{1}}{{n}}\:{x}^{{n}} \:=\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com