Question Number 206328 by mnjuly1970 last updated on 12/Apr/24 $$ \\ $$$$\:\:\:\:\:\:\:{f}\left({x}\right)=\:\lfloor\:\frac{\:\mathrm{1}+\:{x}\:+{x}^{\mathrm{2}} }{{x}+\:{x}^{\:\mathrm{2}} }\:\rfloor\:{is}\:{given}. \\ $$$$\:\:\:\:\:\:\:\Rightarrow\begin{cases}{\:\:{D}_{{f}} \:=\:?\:\left({domain}\:\right)}\\{\:\:\:{R}_{\:{f}} \:=\:?\left(\:{range}\right)}\end{cases} \\ $$$$ \\ $$ Answered by TheHoneyCat…
Question Number 206362 by MATHEMATICSAM last updated on 12/Apr/24 $$\mathrm{sin}\frac{\pi}{\mathrm{7}}\:×\:\mathrm{sin}\frac{\mathrm{2}\pi}{\mathrm{7}}\:×\:\mathrm{sin}\frac{\mathrm{3}\pi}{\mathrm{7}}\:=\:? \\ $$ Answered by Skabetix last updated on 12/Apr/24 $$=\frac{\sqrt{\mathrm{7}}}{\mathrm{8}} \\ $$ Answered by Berbere…
Question Number 206363 by hardmath last updated on 12/Apr/24 $$\mathrm{If}\:\:\:\mathrm{0}<\mathrm{a}<\mathrm{1} \\ $$$$\mathrm{Compare}: \\ $$$$\frac{\mathrm{1}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{a}−\mathrm{1}}\:\:,\:\:\frac{\mathrm{1}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{1}−\mathrm{a}}\:\:,\:\:\frac{\mathrm{a}}{\mathrm{2a}} \\ $$ Commented by TheHoneyCat last updated on 12/Apr/24 Commented by…
Question Number 206357 by hardmath last updated on 12/Apr/24 $$\mathrm{Find}: \\ $$$$\mathrm{1}\:+\:\mathrm{cos444}°\:−\:\mathrm{cos84}°\:+\:\mathrm{cot45}°\:=\:? \\ $$ Answered by MM42 last updated on 12/Apr/24 $$\mathrm{2}\:\checkmark \\ $$ Commented…
Question Number 206353 by BaliramKumar last updated on 12/Apr/24 Commented by Rasheed.Sindhi last updated on 15/Apr/24 $${I}\:{think}\:\mathrm{15}\:{is}\:{wrong}\:{here},\:{it}\:{should} \\ $$$${be}\:\mathrm{14}\:{or}\:{otherwise}\:{the}\:{answer}\:{is} \\ $$$${not}\:{correct}. \\ $$ Commented by…
Question Number 206321 by cortano21 last updated on 12/Apr/24 Answered by TonyCWX08 last updated on 12/Apr/24 $${By}\:\Delta{BCD}\:\backsim\:\Delta{CDE} \\ $$$$\frac{{x}}{\:\sqrt{\mathrm{14}}}=\frac{\mathrm{7}\sqrt{\mathrm{14}}}{{x}} \\ $$$${x}^{\mathrm{2}} =\mathrm{98} \\ $$$$ \\…
Question Number 206322 by MATHEMATICSAM last updated on 12/Apr/24 $$\mathrm{If}\:{abc}\:=\:\mathrm{1}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\:\frac{\mathrm{1}}{\mathrm{1}\:+\:{a}\:+\:{b}^{−\mathrm{1}} }\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:{b}\:+\:{c}^{−\mathrm{1}} }\:+\:\frac{\mathrm{1}}{\mathrm{1}\:+\:{c}\:+\:{a}^{−\mathrm{1}} }\:=\:\mathrm{1} \\ $$ Commented by Rasheed.Sindhi last updated on 12/Apr/24 $${For}\:{similar}\:{question}\:{see}…
Question Number 206355 by mr W last updated on 12/Apr/24 $${if}\:{the}\:{sum}\:{of}\:{three}\:{positive}\:{real}\: \\ $$$${numbers}\:{is}\:{equal}\:{to}\:{their}\:{product}, \\ $$$${prove}\:{that}\:{at}\:{least}\:{one}\:{of}\:{the}\: \\ $$$${numbers}\:{is}\:{larger}\:{than}\:\mathrm{1}.\mathrm{7}. \\ $$ Answered by A5T last updated on…
Question Number 206323 by cortano21 last updated on 12/Apr/24 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 206318 by MrGHK last updated on 12/Apr/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \int_{\mathrm{0}} ^{\mathrm{1}} \frac{{xln}\left(\mathrm{1}+{y}\right){ln}\left(\mathrm{1}−{x}\right)}{\mathrm{1}+{x}^{\mathrm{2}} {y}}{dxdy} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com