Question Number 11352 by tawa last updated on 21/Mar/17 $$\mathrm{if},\:\:\mathrm{A}\:=\:\mathrm{x}^{\mathrm{2}} \:\mathrm{sin}\:\mathrm{yi}\:+\:\mathrm{z}^{\mathrm{2}} \:\mathrm{cos}\:\mathrm{yj}\:−\:\mathrm{xy}^{\mathrm{2}} \mathrm{k},\:\:\mathrm{find},\:\:\mathrm{dA}\:\: \\ $$ Answered by sm3l2996 last updated on 22/Mar/17 $$\mathrm{dA}=\left(\mathrm{2xsin}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{y}^{\mathrm{2}} \mathrm{k}\right)\mathrm{dx}+\left(\mathrm{x}^{\mathrm{2}} \mathrm{cos}\left(\mathrm{y}\right)\mathrm{i}−\mathrm{z}^{\mathrm{2}}…
Question Number 11351 by tawa last updated on 21/Mar/17 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{workdone}\:\mathrm{in}\:\mathrm{moving}\:\mathrm{a}\:\mathrm{paticle}\:\mathrm{once}\:\mathrm{around}\:\mathrm{an}\:\mathrm{ellipse}\:\mathrm{C}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{xy}\:\mathrm{plane}.\:\mathrm{if}\:\mathrm{the}\:\mathrm{ellipse}\:\mathrm{has}\:\mathrm{centre}\:\mathrm{at}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{with}\:\mathrm{semi}\:\mathrm{major}\:\mathrm{and}\:\mathrm{semi}\:\mathrm{minor}\:\mathrm{axes}\: \\ $$$$\mathrm{4}\:\mathrm{and}\:\mathrm{3}\:\mathrm{respectively}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 142423 by Mathspace last updated on 31/May/21 $${study}\:{the}\:{convergence}\:{of} \\ $$$$\int_{\mathrm{0}} ^{\infty} \:\frac{{log}^{\mathrm{2}} {x}}{\mathrm{1}+{x}^{\mathrm{2}} }{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 76883 by john santu last updated on 31/Dec/19 $${what}\:{is}\:{the}\:{perimeter}\:{of}\:{the}\:{loop}? \\ $$$$\mathrm{3}{ay}^{\mathrm{2}} \:=\:{x}\left({x}−\mathrm{3}{a}\right)^{\mathrm{2}\:} ? \\ $$ Commented by MJS last updated on 31/Dec/19 $$\mathrm{length}\:\mathrm{of}\:\mathrm{a}\:\mathrm{curve}\:{y}={f}\left({x}\right)\:\mathrm{within}\:\left[{p},\:{q}\right]…
Question Number 76880 by ajfour last updated on 31/Dec/19 $$\frac{\frac{{c}}{\mathrm{5}}−\mathrm{7}}{\mathrm{5}}\:−\mathrm{2}=\:\mathrm{5} \\ $$$${Intead}\:{of}\:\mathrm{5}\:{what}\:{else}\:{could}\:{be} \\ $$$${there}? \\ $$ Commented by MJS last updated on 31/Dec/19 $$\mathrm{you}\:\mathrm{mean}\:\frac{\frac{{c}}{{x}}−\mathrm{7}}{{x}}−\mathrm{2}={x}\:? \\…
Question Number 11344 by jaskaurrangerleader@gmail.com last updated on 21/Mar/17 $${n}_{{c}_{{n}} } =\frac{{n}!}{\left({n}−{n}\right)!{n}!} \\ $$ Commented by FilupS last updated on 21/Mar/17 $$\frac{{n}!}{\left({n}−{n}\right)!\centerdot{n}!}=\frac{\mathrm{1}}{\mathrm{0}!} \\ $$$$=\frac{\mathrm{1}}{\mathrm{1}}=\mathrm{1} \\…
Question Number 11343 by jaskaurrangerleader@gmail.com last updated on 21/Mar/17 $${n}_{\boldsymbol{\mathrm{c}}_{\boldsymbol{\mathrm{n}}} } =\frac{{n}\mathrm{1}}{\left({n}−{n}\right)} \\ $$ Commented by FilupS last updated on 21/Mar/17 $$\frac{{n}}{{n}−{n}}=\mathrm{undefined} \\ $$ Terms…
Question Number 142415 by Rankut last updated on 31/May/21 $$\frac{{x}}{{x}+\mathrm{4}}=\frac{\mathrm{5}\lfloor{x}\rfloor−\mathrm{7}}{\mathrm{7}\lfloor{x}\rfloor−\mathrm{5}} \\ $$$${x}=? \\ $$ Answered by mr W last updated on 31/May/21 $${say}\:{x}={n}+{f} \\ $$$$\frac{{n}+{f}}{{n}+{f}+\mathrm{4}}=\frac{\mathrm{5}{n}−\mathrm{7}}{\mathrm{7}{n}−\mathrm{5}}…
Question Number 11341 by Nadium last updated on 21/Mar/17 Commented by FilupS last updated on 22/Mar/17 $$\Omega=\underset{{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{1}}{{n}^{\mathrm{4}} }\underset{{i}=\mathrm{1}} {\overset{{n}} {\sum}}\left(\underset{{j}=\mathrm{1}} {\overset{{n}} {\sum}}\left({i}^{\mathrm{2}} +{j}^{\mathrm{2}} \right)\mid{i}^{\mathrm{2}}…