Question Number 152985 by ajfour last updated on 03/Sep/21 Commented by mr W last updated on 03/Sep/21 $${area}\:{in}\:{first}\:{quadrant}\: \\ $$$$+\:{area}\:{in}\:{second}\:{quadrant}\: \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}\:{of}\:{rectangle}\:=\:{constant} \\ $$$${i}.{e}.\:{when}\:{area}\:{in}\:{first}\:{quadrant}\:{is} \\…
Question Number 21913 by Tinkutara last updated on 06/Oct/17 $$\mathrm{Let}\:{a}_{{n}} \:\mathrm{denote}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{all}\:{n}-\mathrm{digit} \\ $$$$\mathrm{positive}\:\mathrm{integers}\:\mathrm{formed}\:\mathrm{by}\:\mathrm{the}\:\mathrm{digits} \\ $$$$\mathrm{0},\:\mathrm{1}\:\mathrm{or}\:\mathrm{both}\:\mathrm{such}\:\mathrm{that}\:\mathrm{no}\:\mathrm{consecutive} \\ $$$$\mathrm{digits}\:\mathrm{in}\:\mathrm{them}\:\mathrm{are}\:\mathrm{0}.\:\mathrm{Let}\:{b}_{{n}} \:=\:\mathrm{the} \\ $$$$\mathrm{number}\:\mathrm{of}\:\mathrm{such}\:{n}-\mathrm{digit}\:\mathrm{integers}\:\mathrm{ending} \\ $$$$\mathrm{with}\:\mathrm{digit}\:\mathrm{1}\:\mathrm{and}\:{c}_{{n}} \:=\:\mathrm{the}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{such}\:{n}-\mathrm{digit}\:\mathrm{integers}\:\mathrm{ending}\:\mathrm{with}…
Question Number 152980 by mr W last updated on 03/Sep/21 Commented by mathdanisur last updated on 03/Sep/21 $$\mathrm{a}^{\mathrm{7}} +\mathrm{b}^{\mathrm{7}} +\mathrm{c}^{\mathrm{7}} \:=\:\mathrm{7abc}\left(\mathrm{ab}+\mathrm{bc}+\mathrm{ca}\right)^{\mathrm{2}} \\ $$$$\mathrm{a}^{\mathrm{4}} +\mathrm{b}^{\mathrm{4}} +\mathrm{c}^{\mathrm{4}}…
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Question Number 21904 by ajfour last updated on 06/Oct/17 $${Compute}\:{the}\:{area}\:{of}\:{a}\:{loop}\:{of}\:{the} \\ $$$${curve}\:\left(\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\right)=\frac{\mathrm{2}{xy}}{{c}^{\mathrm{2}} }\:. \\ $$ Commented by math solver last updated…
Question Number 21903 by Joel577 last updated on 06/Oct/17 $$\Delta{ABC}\:\mathrm{with}\:\mathrm{sides}\:{a},\:{b},\:{c}\:\in\:\mathbb{Z}\:\mathrm{and}\:\angle{A}\:=\:\mathrm{3}\angle{B} \\ $$$$\mathrm{If}\:\mathrm{its}\:\mathrm{circumference}\:\mathrm{is}\:\mathrm{minimum},\:\mathrm{then}\:\mathrm{find}\:{a},\:{b},\:{c} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87439 by mary_ last updated on 04/Apr/20 $$\begin{cases}{\mathrm{2}^{\mathrm{x}} .\mathrm{3}^{\mathrm{y}} =\mathrm{6}}\\{\mathrm{3}^{\mathrm{x}} .\mathrm{4}^{\mathrm{y}} =\mathrm{12}}\end{cases} \\ $$ Commented by john santu last updated on 04/Apr/20 $$\frac{\mathrm{2}^{\mathrm{x}}…
Question Number 152974 by Rankut last updated on 03/Sep/21 Commented by Rankut last updated on 03/Sep/21 $${help} \\ $$ Commented by mr W last updated…
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Question Number 152960 by nitchyy last updated on 03/Sep/21 $$\:\: \\ $$$$\:\:\:\:\mathrm{Find}\:\mathrm{the}\:\mathrm{values}\:\mathrm{for}\:\mathrm{b}\:\mathrm{and}\:\mathrm{c}\:\mathrm{given} \\ $$$$\:\:\:\:\mathrm{that}\:\mathrm{the}\:\mathrm{quadratic}\:\mathrm{expression} \\ $$$$\:\:\:\:{x}^{\mathrm{2}} +\mathrm{b}{x}+\mathrm{c}<\mathrm{0}\: \\ $$$$\:\:\:\:\left\{{x}:−\mathrm{1}<{x}>\mathrm{3}\right\} \\ $$$$\: \\ $$ Answered by…