Question Number 70287 by MJS last updated on 02/Oct/19 $$\mathrm{I}\:\mathrm{wanted}\:\mathrm{to}\:\mathrm{say}\:\mathrm{this}\:\mathrm{earlier}… \\ $$$$\mathrm{I}\:\mathrm{love}\:\mathrm{mathematics}\:\mathrm{and}\:\mathrm{I}\:\mathrm{also}\:\mathrm{love}\:\mathrm{people}. \\ $$$$\mathrm{But}\:\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{here}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{the}\:\mathrm{same}\:\mathrm{old}\:\mathrm{boring} \\ $$$$\mathrm{problems}\:\mathrm{copied}\:\mathrm{from}\:\mathrm{facebook}\:\mathrm{or}\:\mathrm{whatsapp} \\ $$$$\mathrm{or}\:\mathrm{other}\:\mathrm{platforms}.\:\mathrm{They}\:\mathrm{are}\:\mathrm{not}\:\mathrm{interesting} \\ $$$$\mathrm{at}\:\mathrm{all}.\:\mathrm{They}\:\mathrm{have}\:\mathrm{been}\:\mathrm{coming}\:\mathrm{in}\:\mathrm{as}\:\mathrm{a}\:\mathrm{kind} \\ $$$$\mathrm{of}\:\mathrm{competition},\:\mathrm{or}\:\mathrm{simply}\:\mathrm{to}\:\mathrm{brag},\:\mathrm{they}'\mathrm{ve} \\ $$$$\mathrm{been}\:\mathrm{traded}\:\mathrm{from}\:\mathrm{one}\:\mathrm{non}−\mathrm{mathematician} \\…
Question Number 135822 by Khakie last updated on 16/Mar/21 $$\left[\frac{{sin}\alpha}{\alpha}\right]^{\mathrm{2}} \:=\frac{\mathrm{1}}{\mathrm{2}}\:\:\:\:\:{please}\:{solve}\:{this} \\ $$ Commented by mr W last updated on 16/Mar/21 $${no}\:{exact}\:{solution}\:{possible}. \\ $$$$\alpha\approx\mathrm{1}.\mathrm{3916} \\…
Question Number 135823 by Khakie last updated on 16/Mar/21 $${how}\:{can}\:{this}\:{be}\:{equal}??? \\ $$$${sin}\:{wt}\:\:=\:{e}^{−{at}} \: \\ $$$$ \\ $$ Commented by mr W last updated on 16/Mar/21…
Question Number 4723 by Yozzii last updated on 29/Feb/16 $${Does}\:{time}\:{exist}? \\ $$ Commented by prakash jain last updated on 29/Feb/16 $$\mathrm{Background}? \\ $$ Commented by…
Question Number 4707 by 314159 last updated on 28/Feb/16 $${Given}\:{that}\:\mathrm{2}{x}^{\mathrm{2}} +\mathrm{3}{px}−\mathrm{2}{q}\:{and}\:{x}^{\mathrm{2}} +{q}\:{have}\:{a} \\ $$$${common}\:{factor}\:{x}−{a}\:,\:{where}\:{p},{q}\:{and}\:{a}\:{are}\:{none}\: \\ $$$${zero}\:{constants}\:,\:{show}\:{that}\:\mathrm{9}{p}^{\mathrm{2}} +\mathrm{16}{q}=\mathrm{0}. \\ $$ Commented by prakash jain last updated…
Question Number 4702 by 314159 last updated on 22/Feb/16 $$\mathrm{Let}\:\mathrm{f}\:\mathrm{and}\:\mathrm{g}\:\mathrm{be}\:\mathrm{functions}\:\mathrm{such}\:\mathrm{that}\:\mathrm{for}\:\mathrm{all} \\ $$$$\mathrm{real}\:\mathrm{number}\:\mathrm{x}\:\mathrm{and}\:\mathrm{y},\mathrm{g}\left(\mathrm{f}\left(\mathrm{x}+\mathrm{y}\right)\right)=\mathrm{f}\left(\mathrm{x}\right)+\left(\mathrm{x}+\mathrm{y}\right)\mathrm{g}\left(\mathrm{y}\right). \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{g}\left(\mathrm{0}\right)+\mathrm{g}\left(\mathrm{1}\right)+\mathrm{g}\left(\mathrm{2}\right)+\mathrm{g}\left(\mathrm{3}\right)+…+\mathrm{g}\left(\mathrm{2016}\right). \\ $$ Commented by prakash jain last updated on 22/Feb/16 $$\mathrm{Let}\:\mathrm{us}\:\mathrm{try}\:\mathrm{for}\:\mathrm{trivial}\:\mathrm{solution}…
Question Number 4690 by thachan last updated on 21/Feb/16 $${x}+{y}=\mathrm{67} \\ $$$${x}−{ay}=\mathrm{7} \\ $$ Answered by 123456 last updated on 21/Feb/16 $$−{x}+{ay}=−\mathrm{7} \\ $$$$\left({a}+\mathrm{1}\right){y}=\mathrm{60} \\…
Question Number 70219 by Mr. K last updated on 02/Oct/19 Commented by MJS last updated on 02/Oct/19 $${a}=\mathrm{54}° \\ $$$${b}=\mathrm{101}° \\ $$$${c}=\mathrm{126}° \\ $$$${d}=\mathrm{79}° \\…
Question Number 4683 by thachan last updated on 21/Feb/16 $$\int_{\boldsymbol{{sinx}}} ^{\mathrm{sin}\:\boldsymbol{{x}}+\mathrm{2}} \left(\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{ax}}+\mathrm{cos}\:\left(\mathrm{6}\boldsymbol{{x}}\right)\right)\boldsymbol{{dx}} \\ $$ Commented by prakash jain last updated on 21/Feb/16 $$\mathrm{The}\:\mathrm{bounds}\:\mathrm{are}\:\mathrm{dependent}\:\mathrm{on}\:{x}? \\…
Question Number 135744 by liberty last updated on 15/Mar/21 $$ \\ $$Shabbat Shalom~ As Passover approaches What are you in bondage from? Don’t blame others,…