Question Number 77965 by mr W last updated on 12/Jan/20 $${solve}\:{for}\:{x},{y},{z}\:\in\mathbb{N} \\ $$$$\mathrm{35}{x}+\mathrm{21}{y}+\mathrm{60}{z}=\mathrm{665} \\ $$ Commented by john santu last updated on 12/Jan/20 $${diopthantine}\:{equation}\:{sir}? \\…
Question Number 77962 by aliesam last updated on 12/Jan/20 $$\int\frac{{dx}}{\mathrm{1}+\left({tan}\left({x}\right)\right)^{\sqrt{\mathrm{2}}} }\:{dx} \\ $$ Commented by jagoll last updated on 13/Jan/20 $${how}\:{to}\:{solve}\:{this}\:{problem} \\ $$ Commented by…
Question Number 143499 by mnjuly1970 last updated on 15/Jun/21 Commented by MJS_new last updated on 15/Jun/21 $$ \\ $$$$\mathrm{tan}\:\left(\mathrm{60}°−\alpha\right)\:=\frac{\sqrt{\mathrm{3}}−\mathrm{tan}\:\alpha}{\mathrm{1}+\sqrt{\mathrm{3}}\mathrm{tan}\:\alpha} \\ $$$$\mathrm{tan}\:\left(\mathrm{60}°+\alpha\right)\:=\frac{\sqrt{\mathrm{3}}+\mathrm{tan}\:\alpha}{\mathrm{1}−\sqrt{\mathrm{3}}\mathrm{tan}\:\alpha} \\ $$$$\mathrm{tan}\:\mathrm{3}\alpha\:=\frac{\left(\mathrm{3}−\mathrm{tan}^{\mathrm{2}} \:\alpha\right)\mathrm{tan}\:\alpha}{\mathrm{1}−\mathrm{3tan}^{\mathrm{2}} \:\alpha}…
Question Number 77960 by jagoll last updated on 12/Jan/20 $$\int\:\frac{\mathrm{2}{x}^{\mathrm{3}} −\mathrm{1}}{{x}^{\mathrm{4}} +{x}}\:{dx}? \\ $$ Commented by john santu last updated on 12/Jan/20 $${we}\:{divide}\:{by}\:{x}^{\mathrm{2}} \\ $$$$\int\:\frac{\mathrm{2}{x}−\frac{\mathrm{1}}{{x}^{\mathrm{2}}…
Question Number 143493 by mathdanisur last updated on 15/Jun/21 Commented by lapache last updated on 15/Jun/21 $${what}\:{base}\:{are}\:{we}\:{on}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 77959 by john santu last updated on 12/Jan/20 $${solve}\:\mathrm{tan}\:\left(\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }\right)>\mathrm{1}\: \\ $$ Answered by mr W last updated on 12/Jan/20 $$\mathrm{0}<\frac{\mathrm{1}}{\mathrm{1}+{x}^{\mathrm{2}} }<\mathrm{1} \\…
Question Number 12422 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 21/Apr/17 Commented by mrW1 last updated on 22/Apr/17 $${f}\left({x}\right)=\int\frac{{dx}}{{x}^{\mathrm{2}} −\mathrm{2}{x}\mathrm{cos}\:\varphi+\mathrm{1}}={F}\left({x},\varphi\right)+{C} \\ $$$${f}\left(\mathrm{0}\right)={F}\left(\mathrm{0},\varphi\right)+{C} \\ $$$$\underset{\varphi\rightarrow\mathrm{0}} {\mathrm{lim}}\:{f}\left(\mathrm{0}\right)=\underset{\varphi\rightarrow\mathrm{0}} {\mathrm{lim}}\:{F}\left(\mathrm{0},\varphi\right)+{C} \\…
Question Number 143495 by lapache last updated on 15/Jun/21 $${On}\:{definit}\:{la}\:{fonction}\: \\ $$$$\mathscr{L}\left({f}\left({t}\right)\right)\left({p}\right)=\int_{\mathrm{0}} ^{+\infty} {f}\left({t}\right){e}^{−{pt}} {dt} \\ $$$${Calculer}\:\mathscr{L}\left(\left(\frac{{t}^{{n}} }{{n}!}\right)\right)\left({p}\right) \\ $$ Answered by Ar Brandon last…
Question Number 12419 by tawa last updated on 21/Apr/17 $$\mathrm{If}\:\mathrm{a}\:\mathrm{body}\:\mathrm{of}\:\mathrm{2kg}\:\mathrm{mass}\:\mathrm{is}\:\mathrm{at}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{7200km}\:\mathrm{from}\:\mathrm{the}\:\mathrm{centre}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{earth}\:.\:\mathrm{What}\:\mathrm{would}\:\mathrm{the}\:\mathrm{acceleration}\:\mathrm{due}\:\mathrm{to}\:\mathrm{gravity}\:\mathrm{be}\:\mathrm{at}\:\mathrm{this}\:\mathrm{point}\:\mathrm{in} \\ $$$$\mathrm{the}\:\mathrm{Earths}\:\mathrm{field}\:? \\ $$$$\left(\mathrm{a}\right)\:\mathrm{9}.\mathrm{6m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{b}\right)\:\mathrm{10m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{c}\right)\:\mathrm{11}.\mathrm{3m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{d}\right)\:\mathrm{12}.\mathrm{7m}/\mathrm{s}^{\mathrm{2}} \:\left(\mathrm{e}\right)\:\mathrm{15}.\mathrm{6m}/\mathrm{s}^{\mathrm{2}} \\ $$ Answered by ajfour…
Question Number 143488 by mathmax by abdo last updated on 15/Jun/21 $$\mathrm{let}\:\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{1}}{\mathrm{2}+\mathrm{sinx}} \\ $$$$\mathrm{developp}\:\mathrm{f}\:\mathrm{at}\:\mathrm{fourier}\:\mathrm{serie} \\ $$ Answered by mathmax by abdo last updated on 16/Jun/21…