Question Number 54417 by gunawan last updated on 03/Feb/19 $$\mathrm{A}\:\mathrm{force}\:\mathrm{of}\:\mathrm{39}\:\mathrm{kg}\:\mathrm{weight}\:\mathrm{is}\:\mathrm{acting}\:\mathrm{at}\:\mathrm{a} \\ $$$$\mathrm{point}\:{P}\left(−\mathrm{4},\:\mathrm{2},\:\mathrm{5}\right)\:\mathrm{in}\:\mathrm{the}\:\mathrm{direction}\: \\ $$$$\mathrm{12}\boldsymbol{\mathrm{i}}−\mathrm{4}\boldsymbol{\mathrm{j}}−\mathrm{3}\boldsymbol{\mathrm{k}}.\:\mathrm{The}\:\mathrm{moment}\:\mathrm{of}\:\mathrm{this}\:\mathrm{force} \\ $$$$\mathrm{about}\:\mathrm{a}\:\mathrm{line}\:\mathrm{through}\:\mathrm{the}\:\mathrm{origin}\:\mathrm{having} \\ $$$$\mathrm{the}\:\mathrm{direction}\:\mathrm{of}\:\mathrm{2}\boldsymbol{\mathrm{i}}−\mathrm{2}\boldsymbol{\mathrm{j}}+\boldsymbol{\mathrm{k}}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy…
Question Number 54378 by ngo last updated on 02/Feb/19 $$\underset{\pi/\mathrm{3}} {\overset{\mathrm{3}\pi/\mathrm{2}} {\int}}\:\:\left[\:\mathrm{2}\:\mathrm{cos}\:{x}\:\right]\:{dx}\:= \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19 Commented by tanmay.chaudhury50@gmail.com last…
Question Number 54377 by ngo last updated on 02/Feb/19 $$\underset{\pi/\mathrm{3}} {\overset{\mathrm{3}\pi/\mathrm{2}} {\int}}\:\:\left[\:\mathrm{2}\:\mathrm{cos}\:{x}\:\right]\:{dx}\:= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 54219 by 951172235v last updated on 31/Jan/19 $$\mathrm{tan}^{\mathrm{6}} \:\frac{\pi}{\mathrm{9}}−\mathrm{33}\:\mathrm{tan}^{\mathrm{4}} \frac{\pi}{\mathrm{9}}+\mathrm{27tan}^{\mathrm{2}} \:\frac{\pi}{\mathrm{9}}\:=\: \\ $$ Answered by math1967 last updated on 31/Jan/19 $${let}\:\frac{\pi}{\mathrm{9}}=\theta\therefore{tan}\mathrm{3}\theta=\sqrt{\mathrm{3}\:} \\ $$$$\:\:\:\:\Rightarrow\frac{\mathrm{3}{tan}\theta−\mathrm{tan}\:^{\mathrm{3}}…
Question Number 54034 by qw last updated on 28/Jan/19 $$\mathrm{If}\:{f}\left({x}\right)={f}\left({a}+{b}−{x}\right),\:\mathrm{then}\:\underset{{a}} {\overset{{b}} {\int}}\:{x}\:{f}\left({x}\right)\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 28/Jan/19 $$\int_{{a}} ^{{b}}…
Question Number 54033 by qw last updated on 28/Jan/19 $$\underset{\:\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\:\sqrt{\frac{\mathrm{1}−{x}}{\mathrm{1}+{x}}}\:{dx}\:= \\ $$ Commented by maxmathsup by imad last updated on 29/Jan/19 $${let}\:{I}\:=\int_{\mathrm{0}} ^{\mathrm{1}}…
Question Number 54032 by qw last updated on 28/Jan/19 $$\underset{−\mathrm{2}\:} {\overset{\mathrm{2}} {\int}}\:\mathrm{min}\:\left({x}−\left[{x}\right],\:−{x}−\left[−{x}\right]\right){dx}\:\mathrm{equals}\:\left[{x}\right] \\ $$$$\mathrm{represents}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{less}\:\mathrm{than}\:\mathrm{or} \\ $$$$\left.\mathrm{equal}\:\mathrm{to}\:{x}\right). \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 28/Jan/19…
Question Number 54031 by qw last updated on 28/Jan/19 $$\mathrm{If}\:\:{f}\left({a}+{b}−{x}\right)=\:{f}\left({x}\right),\:\mathrm{then}\:\underset{{a}} {\overset{{b}} {\int}}\:{x}\:{f}\left({x}\right)\:{dx}\:= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 28/Jan/19 $${I}=\int_{{a}} ^{{b}} {xf}\left({x}\right){dx} \\…
Question Number 54029 by qw last updated on 28/Jan/19 $$\underset{\:\mathrm{3}} {\overset{\mathrm{9}} {\int}}\:\frac{\sqrt{{x}}}{\:\sqrt{\mathrm{12}−{x}}\:+\:\sqrt{{x}}}\:{dx}\:=\:\mathrm{9} \\ $$ Commented by maxmathsup by imad last updated on 29/Jan/19 $$\left.{let}\:{prove}\:{that}\:\int_{{a}} ^{{b}}…
Question Number 54028 by qw last updated on 28/Jan/19 $$\mathrm{If}\:\mathrm{for}\:\mathrm{every}\:\mathrm{integer}\:{n},\:\underset{{n}} {\overset{{n}+\mathrm{1}} {\int}}{f}\left({x}\right)\:{dx}\:=\:{n}^{\mathrm{2}} , \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\underset{−\mathrm{2}} {\overset{\mathrm{4}} {\int}}\:{f}\left({x}\right)\:{dx}= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…