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Question Number 22561 by Bruce Lee last updated on 20/Oct/17 $$\boldsymbol{\mathrm{Solve}}\:\boldsymbol{\mathrm{for}}\:\boldsymbol{\mathrm{all}}\:\boldsymbol{\mathrm{integer}}\:\boldsymbol{{x}},\boldsymbol{{y}}\:\in\boldsymbol{{Z}} \\ $$$$\:\:\:\:\:\boldsymbol{{x}}^{\mathrm{2}} +\boldsymbol{{y}}^{\mathrm{2}} =\mathrm{19} \\ $$ Answered by $@ty@m last updated on 20/Oct/17 $${Case}−\mathrm{1}.\:{Let}\:{x}=\mathrm{0}…
Question Number 153628 by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{vertically}\:\mathrm{upwards}. \\ $$$$\mathrm{Its}\:\mathrm{hight}\left(\mathrm{h}\right)\mathrm{meters}\:\mathrm{at}\:\mathrm{time}\left(\:\mathrm{t}\right)\mathrm{seconds} \\ $$$$\mathrm{is}\:\mathrm{given}\:\mathrm{by}\:\mathrm{h}=\:\mathrm{5}+\mathrm{30t}−\mathrm{5t}^{\mathrm{2}} .\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{maximum}\:\mathrm{hight}\:\mathrm{reached}\:\mathrm{by}\:\mathrm{the}\:\mathrm{ball}. \\ $$ Answered by mr W last updated…
Question Number 22554 by *D¬ B£$T* last updated on 20/Oct/17 $${find}\:{the}\:{eqution}\:{of}\:{normal}\:{to} \\ $$$${the}\:{circle} \\ $$$$\mathrm{2}{x}^{\mathrm{2}} +\mathrm{2}{y}^{\mathrm{2}} −\mathrm{3}{x}+\mathrm{4}{y}−\mathrm{32}=\mathrm{0}\:{at}\left(\mathrm{2},\mathrm{3}\right) \\ $$ Answered by ajfour last updated on…
Question Number 153626 by otchereabdullai@gmail.com last updated on 08/Sep/21 $$\mathrm{Ten}\:\mathrm{eggs}\:\mathrm{are}\:\mathrm{picked}\:\mathrm{at}\:\mathrm{random}\:\mathrm{without} \\ $$$$\mathrm{replacement}\:\mathrm{from}\:\mathrm{a}\:\mathrm{lot}\:\mathrm{containing}\: \\ $$$$\mathrm{20\%}\:\mathrm{defective}\:\mathrm{eggs}.\: \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{there}\:\mathrm{are}\: \\ $$$$\mathrm{at}\:\mathrm{least}\:\mathrm{four}\:\mathrm{defective}\:\mathrm{eggs} \\ $$ Answered by mr W last…
Question Number 153616 by Riyoziyot last updated on 08/Sep/21 Commented by MJS_new last updated on 09/Sep/21 $$\mathrm{let}\:\mathrm{me}\:\mathrm{know}\:\mathrm{which}\:\mathrm{solution}\:\mathrm{you}\:\mathrm{like}\:\mathrm{the}\:\mathrm{best} \\ $$$$\mathrm{and}\:\mathrm{I}'\mathrm{ll}\:\mathrm{find}\:\mathrm{a}\:\mathrm{zillion}\:\mathrm{functions}\:\mathrm{providing} \\ $$$$\mathrm{this}\:\mathrm{solution} \\ $$ Terms of…
Question Number 22537 by Sahib singh last updated on 20/Oct/17 $${Mr}.\:{Ajfour},\:{you}\:{are}\:{very} \\ $$$${good}\:{at}\:{solving}\:{difficult} \\ $$$${questions}.{How}\:{do}\:{you} \\ $$$${do}\:{that}\:?\:{Please}\:{tell}\:{us}\: \\ $$$${something}\:{about}\:{yourself}. \\ $$$$ \\ $$ Commented by…
Question Number 153611 by saly last updated on 08/Sep/21 Answered by Ar Brandon last updated on 08/Sep/21 $${A}=\int\frac{\mathrm{3sin}{x}+\mathrm{2cos}{x}}{\mathrm{3cos}{x}+\mathrm{2sin}{x}}{dx} \\ $$$$\:\:\:\:=\int\frac{\mathrm{2cos}{x}−\mathrm{3sin}{x}}{\mathrm{2sin}{x}+\mathrm{3cos}{x}}{dx}+\mathrm{6}\int\frac{\mathrm{sin}{x}}{\mathrm{2sin}{x}+\mathrm{3cos}{x}}{dx} \\ $$$$\:\:\:\:=\mathrm{ln}\mid\mathrm{2sin}{x}+\mathrm{3cos}{x}\mid+\mathrm{6}\int\frac{\frac{\mathrm{4}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }}{\frac{\mathrm{4}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{3}\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}}…
Question Number 153596 by SANOGO last updated on 08/Sep/21 Commented by SANOGO last updated on 08/Sep/21 $${merci}\:{bien} \\ $$ Commented by SANOGO last updated on…
Question Number 153593 by tabata last updated on 08/Sep/21 $$\boldsymbol{{Solve}}\::\:\left(\boldsymbol{{sin}}\left(\mathrm{2}\boldsymbol{{x}}\right)\right)!\:=\:\mathrm{2} \\ $$ Answered by puissant last updated on 08/Sep/21 $$\left({sin}\left(\mathrm{2}{x}\right)\right)!=\mathrm{2}!\:\Rightarrow\:{sin}\left(\mathrm{2}{x}\right)=\mathrm{2} \\ $$$$\Rightarrow\:\frac{{e}^{\mathrm{2}{ix}} −{e}^{−\mathrm{2}{ix}} }{\mathrm{2}{i}}=\mathrm{2} \\…