Question Number 1016 by 123456 last updated on 14/May/15 $$\left[\left(\overset{\rightarrow} {{x}}×\overset{\rightarrow} {{a}}\right)×\overset{\rightarrow} {{b}}\right]×\overset{\rightarrow} {{x}}=\overset{\rightarrow} {{c}} \\ $$ Answered by rpatle69@gmail.com last updated on 14/May/15 $$\left[−\overset{\rightarrow}…
Question Number 66550 by Tony Lin last updated on 17/Aug/19 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\frac{{y}}{\mathrm{2}}\:} ^{\frac{\mathrm{1}}{\mathrm{2}}\:} {e}^{−{x}^{\mathrm{2}} } {dxdy}=? \\ $$ Commented by ~ À ® @…
Question Number 66548 by AnjanDey last updated on 17/Aug/19 $$\boldsymbol{{Evaluate}}:\int\sqrt{{x}\sqrt{{x}+\mathrm{1}}\:}{dx} \\ $$ Commented by AnjanDey last updated on 19/Aug/19 $${Please}\:{evaluate}\:{this}\:{integral}…{It}'{s}\:{very}\:{needful}\:{and}\:{urgent}… \\ $$ Terms of Service…
Question Number 132086 by SLVR last updated on 11/Feb/21 $$ \\ $$ Commented by mr W last updated on 11/Feb/21 $${it}'{s}\:{getting}\:{boring}! \\ $$$${please}\:{stop}\:{posting}\:{empty}\:{posts}\:{sir}! \\ $$$${try}\:{to}\:{study}\:{how}\:{to}\:{use}\:{the}\:{forum}\:{by}…
Question Number 66549 by aditya@345 last updated on 17/Aug/19 $$\frac{\mathrm{n}^{\mathrm{2}} !}{\left(\mathrm{n}!\right)^{\mathrm{n}} }=\mathrm{natural}\:\mathrm{number}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 1012 by rpatle69@gmail.com last updated on 13/May/15 $${find}\:{the}\:{equation}\:{of}\:{circle}\:{whose} \\ $$$${parametric}\:{form}\:{is}\:{given}\:{by}\: \\ $$$${x}=\mathrm{3cos}\:\theta+\mathrm{5}\:{and}\:{y}=\:\mathrm{3sin}\:\theta−\mathrm{7}\:{and} \\ $$$${second}\:{part}\:{is}\:{x}=\mathrm{4cos}\:\theta−\mathrm{3}\:{and} \\ $$$${y}=\mathrm{4sin}\:\theta+\mathrm{4}.\:{find}\:{centre}\:{and}\: \\ $$$${radius}\:{of}\:{above}\:{circle}. \\ $$$$ \\ $$$$ \\…
Question Number 132081 by liberty last updated on 11/Feb/21 $$\mathrm{Prove}\:\mathrm{tan}\:\left(\mathrm{A}+\mathrm{B}\right)−\mathrm{tan}\:\mathrm{A}=\:\frac{\mathrm{sin}\:\mathrm{B}}{\mathrm{cos}\:\mathrm{A}\:\mathrm{cos}\:\left(\mathrm{A}+\mathrm{B}\right)} \\ $$ Answered by rs4089 last updated on 11/Feb/21 $${tan}\left({A}+{B}\right)−{tanA} \\ $$$$\frac{{sin}\left({A}+{B}\right)}{{cos}\left({A}+{B}\right)}−\frac{{sinA}}{{cosA}} \\ $$$$\frac{{sin}\left({A}+{B}\right).{cosA}−{sinA}.{cos}\left({A}+{B}\right)}{{cos}\left({A}+{B}\right).{cosA}} \\…
Question Number 66546 by Sayantan chakraborty last updated on 17/Aug/19 Commented by Sayantan chakraborty last updated on 17/Aug/19 $$\mathrm{urgent}\:\mathrm{need} \\ $$ Commented by ~ À…
Question Number 66544 by naka3546 last updated on 17/Aug/19 $${Find}\:\:{a},\:{b},\:{c}\:\:{which}\:\:{fulfill}\:\:\: \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\frac{{x}\left({a}\:+\:{b}\:\mathrm{cos}\:{x}\right)\:−\:{c}\:\mathrm{sin}\:{x}}{{x}^{\mathrm{5}} }\:\:=\:\:\mathrm{1} \\ $$ Answered by Tanmay chaudhury last updated on 17/Aug/19 $$\underset{{x}\rightarrow\mathrm{0}}…
Question Number 132082 by liberty last updated on 11/Feb/21 $$\:\mathrm{Solve}\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)^{\mathrm{3}} }\:?\: \\ $$ Answered by EDWIN88 last updated on 11/Feb/21 $$\mathrm{Ostrogradski}\:\mathrm{method} \\ $$$$\mathrm{Consider}\:\frac{\mathrm{d}}{\mathrm{dx}}\left(\frac{\mathrm{ax}^{\mathrm{3}} +\mathrm{bx}}{\left(\mathrm{x}^{\mathrm{2}}…