Question Number 120984 by pooooop last updated on 04/Nov/20 $$\frac{\mathrm{1}}{\mathrm{1}\centerdot\mathrm{4}\centerdot\mathrm{7}}\:+\:\frac{\mathrm{1}}{\mathrm{4}\centerdot\mathrm{7}\centerdot\mathrm{10}}+\frac{\mathrm{1}}{\mathrm{7}\centerdot\mathrm{10}\centerdot\mathrm{13}}+…+\frac{\mathrm{1}}{\mathrm{25}\centerdot\mathrm{28}\centerdot\mathrm{31}}=\:? \\ $$ Answered by Dwaipayan Shikari last updated on 04/Nov/20 $${T}_{{n}} =\frac{\mathrm{1}}{\left(\mathrm{3}{n}−\mathrm{2}\right)\left(\mathrm{3}{n}+\mathrm{1}\right)\left(\mathrm{3}{n}+\mathrm{4}\right)} \\ $$$$\overset{{n}} {\sum}{T}_{{n}}…
Question Number 186503 by mnjuly1970 last updated on 05/Feb/23 $$ \\ $$$$\:\:\:{function}\:{of}\:,\:{f}\:\left({x}\right)\:=\:{ax}\:\:+\:\mid\:{x}\:\mid\:{is}\:\:{one}\:{to}\:{one} \\ $$$$\:\:\:\: \\ $$$$\:\:\:\:\:\:\:.{find}\:\:\:\:''\:\:\:\:{a}\:\:\:\:''\:\:. \\ $$$$\:\: \\ $$ Commented by Frix last updated…
Question Number 120960 by Jamshidbek2311 last updated on 04/Nov/20 $${If}\:{x},{y},{z}>\mathrm{0}\:\:{then}\:{prove}\:{following} \\ $$$${inequality} \\ $$$$\left({x}^{\mathrm{2}} +\mathrm{2}\right)\left({y}^{\mathrm{2}} +\mathrm{2}\right)\left({z}^{\mathrm{2}} +\mathrm{2}\right)\geqslant\mathrm{9}\left({xy}+{yz}+{xz}\right) \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 186489 by Mingma last updated on 05/Feb/23 Answered by Frix last updated on 06/Feb/23 $${a}^{\mathrm{2}} +{b}^{\mathrm{2}} +{c}^{\mathrm{2}} =\mathrm{1981}^{\mathrm{2}} =\mathrm{7}^{\mathrm{2}} ×\mathrm{283}^{\mathrm{2}} \\ $$$$\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}}…
Question Number 120953 by bemath last updated on 04/Nov/20 $$\mathrm{solve}\:\mathrm{in}\:\mathrm{x}\in\mathbb{R} \\ $$$$\mid\:\mathrm{3x}−\mathrm{4}\:\mid\:=\:\mathrm{x}−\mathrm{5}\: \\ $$ Answered by TANMAY PANACEA last updated on 04/Nov/20 $${when}\:\left(\mathrm{3}{x}−\mathrm{4}\right)>\mathrm{0}\rightarrow\:\:\:\:{x}>\frac{\mathrm{4}}{\mathrm{3}} \\ $$$$\left(\mathrm{3}{x}−\mathrm{4}\right)={x}−\mathrm{5}…
Question Number 186486 by a.lgnaoui last updated on 05/Feb/23 $${Question}\:{propose}\:{par} \\ $$$${Migma} \\ $$$$−−−−−−−−−−− \\ $$$${calcul}\:{de}\:{X} \\ $$$$ \\ $$$$\bigtriangleup{ABC}\:\:\:\:\:\:\measuredangle{ACB}=\mathrm{40}^{°} \\ $$$$\mathrm{AB}^{\mathrm{2}} =\mathrm{AC}^{\mathrm{2}} +\mathrm{BC}^{\mathrm{2}} −\mathrm{2AC}×\mathrm{BCcos}\:\mathrm{40}\:\:\:\:…
Question Number 55415 by Tawa1 last updated on 23/Feb/19 $$\mathrm{a},\:\mathrm{b},\:\mathrm{d}\:\:\mathrm{are}\:\mathrm{gp}.\:\mathrm{such}\:\mathrm{that}\:\:\mathrm{a},\:\mathrm{b},\:\mathrm{c}\:\mathrm{are}\:\mathrm{real}.\:\:\mathrm{if}\:\: \\ $$$$\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:\:=\:\:\mathrm{26}\:\:\:\mathrm{and}\:\:\mathrm{a}^{\mathrm{2}} \:+\:\mathrm{b}^{\mathrm{2}} \:+\:\mathrm{c}^{\mathrm{2}} \:\:=\:\:\mathrm{364},\:\:\:\:\:\mathrm{find}\:\:\mathrm{b}\:\:? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 23/Feb/19 $${a}={a}…
Question Number 55412 by Tawa1 last updated on 23/Feb/19 $$\mathrm{Solve}\:\mathrm{for}\:\:\:\mathrm{x}\:\mathrm{and}\:\mathrm{y}. \\ $$$$\:\:\:\:\:\:\:\:\mathrm{2}^{\mathrm{x}} \:+\:\mathrm{2y}\:\:=\:\:\mathrm{1}\:\:\:\:\:\:\:…….\:\:\mathrm{equation}\:\left(\mathrm{i}\right) \\ $$$$\:\:\:\:\:\:\:\:\mathrm{3}^{\mathrm{2x}} \:+\:\mathrm{y}\:\:=\:\:\mathrm{27}\:\:\:\:\:\:\:\:…..\:\:\mathrm{equation}\:\left(\mathrm{ii}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 120943 by Jamshidbek2311 last updated on 04/Nov/20 $$\int\left({x}^{\mathrm{3}} +\mathrm{3}\right)^{\mathrm{4}} {dx}=? \\ $$ Commented by mathmax by abdo last updated on 05/Nov/20 $$\int\:\left(\mathrm{x}^{\mathrm{3}} \:+\mathrm{3}\right)^{\mathrm{4}}…
Question Number 120929 by Canovas last updated on 04/Nov/20 Commented by Canovas last updated on 04/Nov/20 $$\:\:\:{Please}\:{help}\:{me}\:{on}\:{number}\:\mathrm{11}\:{and}\:\mathrm{15} \\ $$$$ \\ $$ Commented by liberty last…