Menu Close

Category: Others

If-f-x-y-f-x-f-y-for-real-x-y-and-f-0-0-Let-F-x-f-x-1-f-x-2-then-F-x-is-a-even-b-odd-c-neither-even-nor-odd-

Question Number 44350 by Necxx last updated on 27/Sep/18 $${If}\:{f}\left({x}+{y}\right)={f}\left({x}\right).{f}\left({y}\right)\:{for}\:{real}\:{x},{y} \\ $$$${and}\:{f}\left(\mathrm{0}\right)\neq\mathrm{0}.{Let}\:{F}\left({x}\right)=\frac{{f}\left({x}\right)}{\mathrm{1}+\left({f}\left({x}\right)\right)^{\mathrm{2}} } \\ $$$${then}\:{F}\left({x}\right)\:{is} \\ $$$$\left.{a}\left.\right)\left.{even}\:{b}\right){odd}\:{c}\right){neither}\:{even}\:{nor}\:{odd} \\ $$ Commented by maxmathsup by imad last…

Question-44334

Question Number 44334 by Raj Singh last updated on 27/Sep/18 Answered by tanmay.chaudhury50@gmail.com last updated on 27/Sep/18 $${area}\:{of}\:{triangle}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{8}×\mathrm{15}=\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{8}×{r}+\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{15}×{r}+\frac{\mathrm{1}}{\mathrm{2}}×\mathrm{17}×{r} \\ $$$$\mathrm{8}×\mathrm{15}=\mathrm{8}{r}+\mathrm{15}{r}+\mathrm{17}{r} \\ $$$$\mathrm{40}{r}=\mathrm{120} \\ $$$${r}=\mathrm{3} \\…

solve-for-x-log-sinx-x-2-8x-23-gt-3-log-2-sinx-

Question Number 175369 by infinityaction last updated on 28/Aug/22 $$\:\:\mathrm{solve}\:\mathrm{for}\:{x} \\ $$$$\:\:\:\mathrm{log}_{\mid\mathrm{sin}{x}\mid\:} \left({x}^{\mathrm{2}} −\mathrm{8}{x}+\mathrm{23}\right)\:>\:\frac{\mathrm{3}}{\mathrm{log}_{\mathrm{2}} \mid\mathrm{sin}{x}\mid\:} \\ $$ Answered by floor(10²Eta[1]) last updated on 28/Aug/22 $$\frac{\mathrm{log}\left(\mathrm{x}^{\mathrm{2}}…

solve-the-inequalities-Q-1-1-log-a-2-x-1-log-a-x-gt-1-0-lt-a-lt-1-Q-2-log-x-4x-5-6-5x-lt-1-

Question Number 175335 by infinityaction last updated on 27/Aug/22 $$\:\:\:\:\:\mathrm{solve}\:\mathrm{the}\:\mathrm{inequalities} \\ $$$$\:{Q}.\left(\mathrm{1}\right)\:\:\frac{\mathrm{1}+\mathrm{log}_{{a}} ^{\mathrm{2}} {x}}{\mathrm{1}+\mathrm{log}_{{a}} {x}}\:\:\:>\:\mathrm{1}\:\:\:,\:\:\mathrm{0}<{a}<\mathrm{1} \\ $$$$\:\:{Q}.\left(\mathrm{2}\right)\:\:\:\:\:\:\:\mathrm{log}_{{x}} \:\frac{\mathrm{4}{x}+\mathrm{5}}{\mathrm{6}−\mathrm{5}{x}}\:\:<\:\:−\mathrm{1} \\ $$ Answered by blackmamba last updated…

Question-44230

Question Number 44230 by behi83417@gmail.com last updated on 24/Sep/18 Answered by MrW3 last updated on 25/Sep/18 $$\left(\mathrm{1}\right) \\ $$$${f}\left({x},{y}\right)={x}^{\mathrm{2}} +{xy}+{y}^{\mathrm{2}} −{ax}−{by} \\ $$$$\frac{\partial{f}}{\partial{x}}=\mathrm{2}{x}+{y}−{a}=\mathrm{0}\:\:…\left({i}\right) \\ $$$$\frac{\partial{f}}{\partial{y}}={x}+\mathrm{2}{y}−{b}=\mathrm{0}\:\:…\left({ii}\right)…

Find-the-total-number-of-integral-sided-triangle-whose-largest-side-is-30-please-explain-with-workings-

Question Number 44142 by Tawa1 last updated on 22/Sep/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of}\:\mathrm{integral}\:\mathrm{sided}\:\mathrm{triangle}\:\mathrm{whose}\:\mathrm{largest}\:\mathrm{side} \\ $$$$\mathrm{is}\:\mathrm{30}. \\ $$$$\mathrm{please}\:\mathrm{explain}\:\mathrm{with}\:\mathrm{workings} \\ $$ Answered by MrW3 last updated on 22/Sep/18 $${let}'{s}\:{say}\:{the}\:{largest}\:{side}\:{is}\:{c}\:{with} \\…