Question Number 48460 by mr W last updated on 24/Nov/18 $${A}\:{point}\:{source}\:{has}\:{a}\:{distance}\:{d} \\ $$$${to}\:{the}\:{center}\:{of}\:{a}\:{big}\:{sphere}\:{with}\:{radius} \\ $$$${R}.\:\:{An}\:{other}\:{smaller}\:{sphere}\:{with}\:{radius} \\ $$$${r}\:{is}\:{placed}\:{between}\:{the}\:{point}\:{source} \\ $$$${and}\:{the}\:{big}\:{sphere}.\:{If}\:{the}\:{distance} \\ $$$${between}\:{the}\:{two}\:{spheres}\:{is}\:{constant}, \\ $$$${say}\:{it}'{s}\:{c}.\: \\ $$$${Find}\:{the}\:{maximal}\:{shadow}\:{area}\:{of}\:{the}…
Question Number 48388 by Tawa1 last updated on 23/Nov/18 Commented by Tawa1 last updated on 23/Nov/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{Area}\:\mathrm{of}\:\mathrm{the}\:\mathrm{triangle} \\ $$ Answered by mr W last updated…
Question Number 48384 by Tawa1 last updated on 23/Nov/18 Commented by Tawa1 last updated on 23/Nov/18 $$\left(\mathrm{1}\right)\:\mathrm{Find}\:\mathrm{the}\:\mathrm{scale}\:\mathrm{factor}.\: \\ $$$$\left(\mathrm{2}\right)\:\mathrm{Find}\:\:\:\boldsymbol{\mathrm{OM}} \\ $$ Answered by tanmay.chaudhury50@gmail.com last…
Question Number 179440 by mr W last updated on 29/Oct/22 Commented by mr W last updated on 29/Oct/22 $${find}\:{the}\:{largest}\:{equilateral}\:{triangle} \\ $$$${which}\:{can}\:{be}\:{placed}\:{inside}\:{a}\:{square} \\ $$$${with}\:{side}\:{length}\:\mathrm{1}. \\ $$…
Question Number 179407 by Acem last updated on 29/Oct/22 $${Study}\:{the}\:{relative}\:{position}\:{of}\:{the}\:{curve}\:{C}_{{f}} \:{with} \\ $$$$\:{it}\:{asymptote};\:{f}\left({x}\right)=\:{x}+\:\frac{\mathrm{sin}\:{x}}{{x}} \\ $$ Commented by Acem last updated on 01/Nov/22 $${Is}\:{the}\:{question}\:{unclear}? \\ $$…
Question Number 48324 by mr W last updated on 22/Nov/18 Commented by ajfour last updated on 22/Nov/18 Commented by ajfour last updated on 22/Nov/18 $${let}\:{OB}\:=\:\mathrm{2}{a}\:…
Question Number 179386 by cherokeesay last updated on 29/Oct/22 Answered by DvMc last updated on 29/Oct/22 $$\frac{{y}}{{r}}=\frac{\mathrm{3}}{\mathrm{4}}\:\:\:\:\:\:\:\:\:\:\:{y}=\frac{\mathrm{3}}{\mathrm{4}}{r} \\ $$$$\frac{{x}}{{r}}=\frac{\mathrm{4}}{\mathrm{3}}\:\:\:\:\:\:\:\:\:\:\:{x}=\frac{\mathrm{4}}{\mathrm{3}}{r} \\ $$$${Sum}\:{of}\:{areas} \\ $$$$\frac{\mathrm{1}}{\mathrm{2}}{yr}+{r}^{\mathrm{2}} +\frac{\mathrm{1}}{\mathrm{2}}{rx}=\frac{\mathrm{3}×\mathrm{4}}{\mathrm{2}} \\…
Question Number 48196 by ajfour last updated on 20/Nov/18 Commented by ajfour last updated on 20/Nov/18 $${Find}\:{volume}\:{of}\:{sphere}\:{above} \\ $$$${the}\:{triangular}\:{plane}\:{in}\:{terms} \\ $$$${of}\:\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}},\:{and}\:\boldsymbol{{R}}. \\ $$ Answered by…
Question Number 48129 by kaivan.ahmadi last updated on 19/Nov/18 $$\mathrm{how}\:\mathrm{we}\:\mathrm{can}\:\mathrm{show}\:\:\:_{\mathrm{3}_{\sqrt{\mathrm{2}}} } \:\:\mathrm{on}\:\mathrm{axis}? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 20/Nov/18 $${trying}\:{to}\:{solve}… \\ $$$$\left.\mathrm{1}\right){first}\:{plot}\:{graph}\:{y}={x}^{\mathrm{3}} \\…
Question Number 179198 by Acem last updated on 26/Oct/22 Commented by Acem last updated on 26/Oct/22 $${Area}_{{Square}} ? \\ $$ Commented by Acem last updated…