Question Number 9804 by FilupSmith last updated on 05/Jan/17 $$\mathrm{Express}\:{f}\left({x}\right)={x}^{{t}} {e}^{{x}} \:\mathrm{as}\:\mathrm{a}\:\mathrm{series} \\ $$ Commented by FilupSmith last updated on 07/Jan/17 $${x}^{{t}} ={e}^{{t}\mathrm{ln}\left({x}\right)} \\ $$$$\:\:\:\:=\underset{{n}=\mathrm{0}}…
Question Number 75338 by otchereabdullai@gmail.com last updated on 10/Dec/19 $$\mathrm{The}\:\mathrm{wall}\:\mathrm{of}\:\mathrm{mr}\:\mathrm{nelsons}\:\mathrm{bathroom}\:\mathrm{is} \\ $$$$\mathrm{covered}\:\mathrm{with}\:\mathrm{1200}\:\mathrm{square}\:\mathrm{tiles}\:\mathrm{eah}\:\mathrm{of}\: \\ $$$$\mathrm{length}\:\mathrm{24cm}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{square}\:\mathrm{tiles}\: \\ $$$$\mathrm{of}\:\mathrm{sides}\:\mathrm{length}\:\mathrm{24cm}\:\mathrm{would}\:\mathrm{be}\:\mathrm{needed}\:\mathrm{to}\: \\ $$$$\mathrm{cover}\:\mathrm{the}\:\mathrm{same}\:\mathrm{wall}. \\ $$ Commented by MJS last updated…
Question Number 75339 by otchereabdullai@gmail.com last updated on 10/Dec/19 $$\mathrm{A}\:\mathrm{water}\:\mathrm{flows}\:\mathrm{from}\:\mathrm{a}\:\mathrm{tap}\:\mathrm{into}\:\mathrm{an}\:\mathrm{empty} \\ $$$$\mathrm{cylindrical}\:\mathrm{jar}\:\mathrm{at}\:\mathrm{rate}\:\mathrm{of}\:\:\mathrm{23211cm}^{\mathrm{3}} \:\mathrm{per} \\ $$$$\mathrm{secons}.\:\mathrm{At}\:\mathrm{what}\:\mathrm{time}\:\mathrm{will}\:\mathrm{the}\:\mathrm{tap}\:\mathrm{fill}\: \\ $$$$\mathrm{the}\:\mathrm{cylinder}\:\mathrm{with}\:\mathrm{volume}\:\mathrm{of}\:\mathrm{6011cm}^{\mathrm{3}} . \\ $$ Commented by MJS last updated…
Question Number 140874 by cherokeesay last updated on 13/May/21 Commented by ok_19 last updated on 13/May/21 $$\mathrm{12}\:\mathrm{cm}^{\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 9800 by richard last updated on 05/Jan/17 $$\mathrm{is}\:\mathrm{there}\:\mathrm{a}\:\mathrm{value}\:\mathrm{for}\:\mathrm{tg}^{\mathrm{2}} \frac{\pi}{\mathrm{4}}\:\:? \\ $$ Commented by FilupSmith last updated on 05/Jan/17 $${tg}^{\mathrm{2}} \frac{\pi}{\mathrm{4}}={tg}^{\mathrm{2}} \frac{\pi}{\mathrm{4}} \\ $$$$\:…
Question Number 140869 by jlewis last updated on 13/May/21 $${the}\:\mathrm{velocities}\:\mathrm{of}\:\mathrm{air}\:\mathrm{particles}\: \\ $$$$\mathrm{above}\:\mathrm{and}\:\mathrm{below}\:\mathrm{the}\:\mathrm{wing}\:\mathrm{of}\:\mathrm{an}\:\mathrm{aircraft} \\ $$$$\:\mathrm{speeding}\:\mathrm{down}\:\mathrm{the}\:\mathrm{runway}\:\mathrm{at}\:\mathrm{a} \\ $$$$\:\mathrm{given}\:\mathrm{instant} \\ $$$$\mathrm{are}\:\mathrm{210m}/\mathrm{s}\:\mathrm{and}\:\mathrm{200m}/\mathrm{s}\: \\ $$$$\mathrm{respectively}.\mathrm{If}\:\mathrm{the}\:\mathrm{density}\:\mathrm{of}\:\mathrm{air}\:\mathrm{is}\: \\ $$$$\mathrm{1}.\mathrm{2kg}/\mathrm{m}^{\mathrm{3}} ,\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{pressure} \\ $$$$\:\mathrm{difference}\:\mathrm{between}\:\mathrm{the}\:\mathrm{upper}\:\mathrm{and}…
Question Number 140870 by jlewis last updated on 13/May/21 $${O}\mathrm{cean}\:\mathrm{waves}\:\mathrm{are}\:\mathrm{observed}\:\mathrm{to} \\ $$$$\mathrm{travel}\:\mathrm{along}\:\mathrm{the}\:\mathrm{water}\:\mathrm{surface} \\ $$$$\:\mathrm{during}\:\mathrm{a}\:\mathrm{developing}\:\mathrm{storm}. \\ $$$$\mathrm{A}\:\mathrm{Coast}\:\mathrm{Guard}\:\mathrm{weather}\:\mathrm{station} \\ $$$$\:\mathrm{observes}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is}\:\mathrm{a}\:\mathrm{vertical}\: \\ $$$$\mathrm{distance}\:\mathrm{from}\:\mathrm{high}\:\mathrm{point}\:\mathrm{to}\:\mathrm{low} \\ $$$$\:\mathrm{point}\:\mathrm{of}\:\mathrm{4}.\mathrm{6}\:\mathrm{meters}\:\mathrm{and}\:\mathrm{horizontal} \\ $$$$\mathrm{distance}\:\mathrm{of}\:\mathrm{8}.\mathrm{6}\:\mathrm{meters}\:\mathrm{between}\: \\…
Question Number 75330 by rajesh4661kumar@gmail.com last updated on 10/Dec/19 Commented by MJS last updated on 10/Dec/19 $$\mathrm{is}\:\mathrm{this} \\ $$$${a}^{\mathrm{3}} {y}^{\mathrm{2}} ={x}^{\mathrm{4}} \left({b}+{x}\right) \\ $$$$? \\…
Question Number 140866 by liberty last updated on 13/May/21 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{\mathrm{ln}\:\mathrm{2}−\mathrm{ln}\:\left(\mathrm{1}+\mathrm{x}^{\mathrm{2}} \right)}{\mathrm{1}−\mathrm{x}}\:\mathrm{dx}\:=?\: \\ $$ Answered by mindispower last updated on 15/May/21 $$=\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\int_{\mathrm{0}} ^{{x}}…
Question Number 75329 by lalitchand last updated on 10/Dec/19 Answered by $@ty@m123 last updated on 10/Dec/19 $${R}=\frac{{abc}}{\mathrm{4}\bigtriangleup} \\ $$$${where}, \\ $$$$\bigtriangleup=\sqrt{{s}\left({s}−{a}\right)\left({s}−{b}\right)\left({s}−{c}\right)} \\ $$ Terms of…