Question Number 83471 by mr W last updated on 02/Mar/20 Commented by mr W last updated on 02/Mar/20 $${The}\:{distances}\:{from}\:{a}\:{point}\:{M}\:{to}\:{the} \\ $$$${vertices}\:{of}\:{a}\:{given}\:{triangle}\:{with} \\ $$$${side}\:{lengthes}\:\boldsymbol{{a}},\:\boldsymbol{{b}},\:\boldsymbol{{c}}\:{are}\:\boldsymbol{{p}},\:\boldsymbol{{q}},\:\boldsymbol{{r}} \\ $$$${respectively}.…
Question Number 148997 by gsk2684 last updated on 02/Aug/21 $${find}\:{number}\:{of}\:{rational}\:{terms}\: \\ $$$${in}\:{the}\:{expansion}\:{of}\:\left(\sqrt[{\mathrm{5}}]{\mathrm{3}}+\sqrt[{\mathrm{3}}]{\mathrm{2}}\right)^{\mathrm{15}} . \\ $$$${prove}\:{sum}\:{of}\:{all}\:{irrarional}\:{terms}\: \\ $$$${is}\:{greater}\:{than}\:{sum}\:{of}\:{all}\:{rational} \\ $$$${terms}. \\ $$ Terms of Service Privacy…
Question Number 148993 by gsk2684 last updated on 02/Aug/21 $${if}\:{M}\:{is}\:{a}\:{point}\:{on}\:{the}\:{line}\:{y}={x}\:{and} \\ $$$${points}\:{P}\left(\mathrm{0},\mathrm{1}\right),{Q}\left(\mathrm{2},\mathrm{0}\right)\:{are}\:{such}\:{that} \\ $$$${PM}+{PQ}\:{is}\:{minimum}\:{then}\:{find}\:{P} \\ $$ Commented by mr W last updated on 02/Aug/21 $${i}\:{think}\:{the}\:{question}\:{should}\:{be}…
Question Number 148992 by mathlove last updated on 02/Aug/21 Answered by gsk2684 last updated on 02/Aug/21 $$\approx\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\left(\mathrm{sin}\:{x}+\frac{\mathrm{sin}\:^{\mathrm{2}} {x}}{\mathrm{2}!}+..\right)−\left(\mathrm{sin}\:\mathrm{3}{x}+\frac{\mathrm{sin}\:^{\mathrm{2}} \mathrm{3}{x}}{\mathrm{2}!}+..\right)}{\mathrm{2}{x}} \\ $$$$=\frac{\mathrm{1}}{\mathrm{2}}\left\{\left(\mathrm{1}+\mathrm{0}+…\right)−\left(\mathrm{3}+\mathrm{0}+..\right)\right\} \\ $$$$=−\mathrm{1} \\…
Question Number 83459 by M±th+et£s last updated on 02/Mar/20 Commented by mind is power last updated on 03/Mar/20 $${p}\geqslant\mathrm{1},? \\ $$$${i}\:{want}\:{try}\:{this}\:{one}\:{tricky}\:{i}\:{think}\:{using}\:{zeta}\:{Hurwitz}\:{function} \\ $$$${are}\:{You}\:{sir}\:{of}\:{result}\:? \\ $$…
Question Number 17921 by Tinkutara last updated on 12/Jul/17 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{expression} \\ $$$$\left(\mathrm{3}\:−\:\mathrm{tan}^{\mathrm{2}} \mathrm{1}°\right)\left(\mathrm{3}\:−\:\mathrm{tan}^{\mathrm{2}} \mathrm{2}°\right)\left(\mathrm{3}\:−\:\mathrm{tan}^{\mathrm{2}} \mathrm{3}°\right)….\left(\mathrm{3}\:−\:\mathrm{tan}^{\mathrm{2}} \mathrm{89}°\right) \\ $$$$\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Commented by Tinkutara last updated…
Question Number 148994 by gsk2684 last updated on 02/Aug/21 $$\left(\mathrm{102}\right)^{\mathrm{4}} \\ $$$${easy}\:{way}\:{to}\:{caculate} \\ $$ Answered by iloveisrael last updated on 02/Aug/21 $$\left(\mathrm{100}+\mathrm{2}\right)^{\mathrm{4}} =\underset{\mathrm{n}=\mathrm{0}} {\overset{\mathrm{4}} {\sum}}\mathrm{C}_{\mathrm{k}}…
Question Number 17919 by Tinkutara last updated on 12/Jul/17 $$\mathrm{How}\:\mathrm{do}\:\mathrm{the}\:\mathrm{electronic}\:\mathrm{configurations}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{elements}\:\mathrm{with}\:\mathrm{Z}\:=\:\mathrm{107}\:−\:\mathrm{109}\:\mathrm{differ} \\ $$$$\mathrm{from}\:\mathrm{one}\:\mathrm{another}? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 17918 by Tinkutara last updated on 12/Jul/17 $$\mathrm{Write}\:\mathrm{the}\:\mathrm{electronic}\:\mathrm{configuration}\:\mathrm{and} \\ $$$$\mathrm{the}\:\mathrm{block}\:\mathrm{to}\:\mathrm{which}\:\mathrm{an}\:\mathrm{element}\:\mathrm{with} \\ $$$$\mathrm{Z}\:=\:\mathrm{90}\:\mathrm{belongs}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 148991 by gsk2684 last updated on 02/Aug/21 $${The}\:{largest}\:{value}\:{of}\:{k}\:{for}\:{which}\: \\ $$$${the}\:{circle}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} ={k}^{\mathrm{2}} \:{lies}\:{completely} \\ $$$${in}\:{the}\:{interior}\:{of}\:{the}\:{parabola} \\ $$$${y}^{\mathrm{2}} =\mathrm{4}{x}+\mathrm{16}\:? \\ $$ Answered by mr…