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Question-93208

Question Number 93208 by Power last updated on 11/May/20 Commented by mathmax by abdo last updated on 11/May/20 $$\left.\mathrm{3}\right)\:{let}\:{s}\left({x}\right)\:=\sum_{{n}=\mathrm{0}} ^{\infty} \frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{2}{n}+\mathrm{1}}{x}^{\mathrm{2}{n}+\mathrm{1}} \:\:{with}\:\mid{x}\mid<\mathrm{1} \\ $$$${we}\:{have}\:{s}^{'}…

Question-93204

Question Number 93204 by liki last updated on 11/May/20 Commented by liki last updated on 11/May/20 $$…\mathrm{Q}\boldsymbol{\mathrm{n}}\:\mathrm{8}\:\boldsymbol{\mathrm{b}},\boldsymbol{\mathrm{c}},\mathrm{and}\:\mathrm{d} \\ $$ Answered by niroj last updated on…

what-is-the-average-area-of-a-triangle-formed-by-3-random-points-in-a-1-1-square-

Question Number 93203 by MAB last updated on 11/May/20 $${what}\:{is}\:{the}\:{average}\:{area}\:{of}\:{a}\:{triangle} \\ $$$${formed}\:{by}\:\mathrm{3}\:{random}\:{points}\:{in}\:{a}\:\mathrm{1}×\mathrm{1} \\ $$$${square}? \\ $$ Commented by prakash jain last updated on 11/May/20 https://math.stackexchange.com/questions/1236958/the-expected-area-of-a-triangle-formed-by-three-points-randomly-chosen-from-the…

log-3-3-3x-log-x-3-3x-log-3-x-3-log-3-3-x-3-log-x-3-x-3-log-3-x-3-2-please-i-need-help-Ive-been-trying-but-still-not-getting-answer-

Question Number 158699 by MathsFan last updated on 07/Nov/21 $$\sqrt{\left(\mathrm{log}_{\mathrm{3}} \mathrm{3}\sqrt{\mathrm{3x}}+\mathrm{log}_{\mathrm{x}} \mathrm{3}\sqrt{\mathrm{3x}}\right)\mathrm{log}_{\mathrm{3}} \mathrm{x}^{\mathrm{3}} }+\sqrt{\left(\frac{\mathrm{log}_{\mathrm{3}} \mathrm{3}\sqrt{\mathrm{x}}}{\mathrm{3}}+\frac{\mathrm{log}_{\mathrm{x}} \mathrm{3}\sqrt{\mathrm{x}}}{\mathrm{3}}\right)\mathrm{log}_{\mathrm{3}} \mathrm{x}^{\mathrm{3}} }=\mathrm{2} \\ $$$$\mathrm{please}\:\mathrm{i}\:\mathrm{need}\:\mathrm{help}. \\ $$$$\mathrm{Ive}\:\mathrm{been}\:\mathrm{trying}\:\mathrm{but}\:\mathrm{still}\:\mathrm{not}\:\mathrm{getting}\: \\ $$$$\mathrm{answer}. \\…