Question Number 22892 by NECx last updated on 23/Oct/17 $${A}\:{horizontal}\:{force}\:{of}\:\mathrm{10}{N}\:{just} \\ $$$${prevents}\:{a}\:{mass}\:{of}\:\mathrm{2}{kg}\:{from} \\ $$$${sliding}\:{down}\:{a}\:{rough}\:{plane} \\ $$$${inclined}\:{at}\:\mathrm{45}°\:{to}\:{the}\:{horizontal}. \\ $$$${Find}\:{the}\:{coefficient}\:{of}\:{friction}. \\ $$ Commented by ajfour last updated…
Question Number 153963 by ZiYangLee last updated on 12/Sep/21 $$\mathrm{Given}\:\mathrm{that}\:{f}\:\mathrm{and}\:{g}\:\mathrm{are}\:\mathrm{differentiable} \\ $$$$\mathrm{functions}\:\mathrm{such}\:\mathrm{that}\:{f}\:'\left({x}\right)=\frac{\mathrm{1}}{\:\sqrt{\mathrm{1}+\left({f}\left({x}\right)\right)^{\mathrm{2}} }\:}, \\ $$$$\mathrm{and}\:{g}={f}^{\:−\mathrm{1}} \:,\:\mathrm{find}\:{g}'\left({x}\right). \\ $$ Answered by mr W last updated on…
Question Number 88424 by abdomathmax last updated on 10/Apr/20 $${calculate}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{{arctan}\left({n}^{\mathrm{2}} {x}\right)−{arctan}\left({nx}\right)}{{x}}{dx} \\ $$$${and}\:{xetermine}\:{nature}\:{of}\:{the}\:{serie}\:\Sigma\:{U}_{{n}} \\ $$ Commented by mathmax by abdo last updated…
Question Number 88422 by abdomathmax last updated on 10/Apr/20 $${calculate}\:\:\int_{\mathrm{1}} ^{\infty} \:\:\:\frac{{dx}}{\left({x}+\mathrm{1}\right)^{\mathrm{3}} \left({x}^{\mathrm{2}} \:+\mathrm{1}\right)^{\mathrm{2}} } \\ $$ Commented by mathmax by abdo last updated on…
Question Number 153956 by liberty last updated on 12/Sep/21 $$\:{Max}\:\&\:{min}\:{value}\:{of}\:{function} \\ $$$$\:{f}\left({x}\right)=\sqrt{\mathrm{6}−{x}}\:+\sqrt{\mathrm{12}+{x}}\:. \\ $$ Answered by EDWIN88 last updated on 12/Sep/21 $$\:{domain}\:{of}\:{f}\left({x}\right)\:=\:\left[−\mathrm{12},\mathrm{6}\:\right] \\ $$$${by}\:{Chaucy}\:−{Schward}\:{inequality} \\…
Question Number 88423 by abdomathmax last updated on 10/Apr/20 $${solve}\:\left({x}^{\mathrm{2}} −\mathrm{1}\right){y}^{''} \:+\sqrt{{x}}{y}^{'} \:={xe}^{−{x}} \\ $$ Commented by mathmax by abdo last updated on 12/Apr/20 $${let}\:\:{y}^{'}…
Question Number 153959 by DELETED last updated on 12/Sep/21 Answered by DELETED last updated on 12/Sep/21 $$\mathrm{F}_{\mathrm{AC}} =\mathrm{k}.\frac{\mathrm{q}_{\mathrm{a}} .\mathrm{q}_{\mathrm{c}} }{\mathrm{r}_{\mathrm{AC}} ^{\mathrm{2}} }\: \\ $$$$\:\:\:\:\:\:\:\:=\mathrm{9}.\mathrm{10}^{\mathrm{9}} .\frac{\mathrm{2}.\mathrm{10}^{−\mathrm{6}}…
Question Number 153958 by DELETED last updated on 12/Sep/21 Answered by DELETED last updated on 12/Sep/21 $$\left.\mathrm{jawaban}\:\mathrm{no}\:\mathrm{2}\right). \\ $$$$\mathrm{F}_{\mathrm{1},\mathrm{2}} =\mathrm{k}×\frac{\mathrm{q}_{\mathrm{1}} ×\mathrm{q}_{\mathrm{2}} }{\mathrm{r}^{\mathrm{2}} }\:\: \\ $$$$\mathrm{r}^{\mathrm{2}}…
Question Number 22884 by Tinkutara last updated on 23/Oct/17 $$\mathrm{A}\:\mathrm{body}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{0}.\mathrm{3}\:\mathrm{kg}\:\mathrm{is}\:\mathrm{taken}\:\mathrm{up}\:\mathrm{an} \\ $$$$\mathrm{inclined}\:\mathrm{plane}\:\mathrm{of}\:\mathrm{length}\:\mathrm{10}\:\mathrm{m}\:\mathrm{and} \\ $$$$\mathrm{height}\:\mathrm{5}\:\mathrm{m},\:\mathrm{and}\:\mathrm{then}\:\mathrm{allowed}\:\mathrm{to}\:\mathrm{slide} \\ $$$$\mathrm{down}\:\mathrm{to}\:\mathrm{the}\:\mathrm{bottom}\:\mathrm{again}.\:\mathrm{The} \\ $$$$\mathrm{coefficient}\:\mathrm{of}\:\mathrm{friction}\:\mathrm{between}\:\mathrm{the}\:\mathrm{body} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{plane}\:\mathrm{is}\:\mathrm{0}.\mathrm{15}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{kinetic}\:\mathrm{energy}\:\mathrm{of}\:\mathrm{the}\:\mathrm{body}\:\mathrm{at}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{trip}? \\…
Question Number 22883 by Tinkutara last updated on 23/Oct/17 $$\mathrm{The}\:\mathrm{correct}\:\mathrm{order}\:\mathrm{of}\:\mathrm{second}\:\mathrm{ionisation} \\ $$$$\mathrm{energy}\:\mathrm{in}\:\mathrm{the}\:\mathrm{following}\:: \\ $$$$\left({a}\right)\:\mathrm{F}\:>\:\mathrm{O}\:>\:\mathrm{N}\:>\:\mathrm{C} \\ $$$$\left({b}\right)\:\mathrm{O}\:>\:\mathrm{F}\:>\:\mathrm{N}\:>\:\mathrm{C} \\ $$$$\left({c}\right)\:\mathrm{O}\:>\:\mathrm{N}\:>\:\mathrm{F}\:>\:\mathrm{C} \\ $$$$\left({d}\right)\:\mathrm{C}\:>\:\mathrm{N}\:>\:\mathrm{O}\:>\:\mathrm{F} \\ $$ Commented by math…