Question Number 215782 by universe last updated on 18/Jan/25 Answered by mr W last updated on 18/Jan/25 Commented by mr W last updated on 18/Jan/25…
Question Number 215808 by efronzo1 last updated on 19/Jan/25 $$\:\:\:\downharpoonleft\underline{\:} \\ $$ Answered by golsendro last updated on 19/Jan/25 $$\:\:=\:\mathrm{e}^{\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\left(\frac{{a}^{{x}} +{b}^{{x}} +{c}^{{x}} −\mathrm{3}}{{x}}\right)} \\…
Question Number 215809 by efronzo1 last updated on 18/Jan/25 $$\:\:\:\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\mathrm{2}\:+\:\underset{\mathrm{1}} {\overset{−\mathrm{x}^{\mathrm{3}} } {\int}}\sqrt{\mathrm{2}+\mathrm{u}^{\mathrm{2}} }\:\mathrm{du}\: \\ $$$$\:\:\:\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{d}}{\mathrm{dx}}\:\left[\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)\right]_{\mathrm{x}=\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 215811 by MATHEMATICSAM last updated on 18/Jan/25 $$\mathrm{If}\:\alpha,\:\beta,\:\gamma,\:\delta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\: \\ $$$${x}^{\mathrm{4}} \:+\:{x}^{\mathrm{3}} \:+\:{x}^{\mathrm{2}} \:+\:{x}\:+\:\mathrm{1}\:=\:\mathrm{0}\:\mathrm{then}\:\mathrm{find} \\ $$$$\alpha^{\mathrm{2021}} \:+\:\beta^{\mathrm{2021}} \:+\:\gamma^{\mathrm{2021}} \:+\:\delta^{\mathrm{2021}} \:. \\ $$ Answered by…
Question Number 215779 by ucup last updated on 18/Jan/25 Commented by MathematicalUser2357 last updated on 18/Jan/25 The "Sehingga" looks like "Sh-nigga", so I flagged your post as inappropriate. Commented by AntonCWX last updated on 18/Jan/25 $${Sehingga}\:{means}\:{until}\:{in}\:{English}.…
Question Number 215774 by Engr_Jidda last updated on 17/Jan/25 $$ \\ $$let's say there are two circles with their centers A1 and A2 and their…
Question Number 215775 by ajfour last updated on 17/Jan/25 $$\:\:\underset{\mathrm{0}} {\overset{\:\:{s}} {\int}}\sqrt{\mathrm{1}−{s}^{\mathrm{2}} }\left(\mathrm{1}+\sqrt{\mathrm{1}−\left(\frac{{x}}{{s}}\right)^{\mathrm{2}} }−\sqrt{\mathrm{1}−{x}^{\mathrm{2}} }\right){dx} \\ $$ Commented by ajfour last updated on 18/Jan/25 https://youtu.be/ZcHJ_FnQ6Fk?si=r5hLYfUC_lLg_ccq…
Question Number 215769 by momoga last updated on 17/Jan/25 In △ABC, it is given that AC⊥CB, CD⊥AB, and CD = 12, AC = BC +…
Question Number 215764 by Wuji last updated on 17/Jan/25 $$\int_{\mathrm{0}} ^{\mathrm{1}} \mathrm{x}^{\mathrm{99}} \mathrm{cos}^{\mathrm{4}} \left(\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by MrGaster last updated on 19/Jan/25 $$=\mathrm{0}.\mathrm{000906873} \\…
Question Number 215760 by MATHEMATICSAM last updated on 17/Jan/25 $$\mathrm{Let}\:{g}\left({x}\right)\:=\:\mathrm{3}{f}\left(\frac{{x}}{\mathrm{3}}\right)\:+\:{f}\left(\mathrm{3}\:−\:{x}\right)\:\mathrm{and}\: \\ $$$${f}\:''\left({x}\right)\:>\:\mathrm{0}\:\mathrm{for}\:\mathrm{all}\:{x}\:\in\:\left(\mathrm{0},\:\mathrm{3}\right).\:\mathrm{If}\:{g}\:\mathrm{is}\: \\ $$$$\mathrm{decreasing}\:\mathrm{in}\:\left(\mathrm{0},\:\alpha\right)\:\mathrm{and}\:\mathrm{increasing}\:\mathrm{in} \\ $$$$\left(\alpha,\:\mathrm{3}\right)\:\mathrm{then}\:\mathrm{find}\:\mathrm{8}\alpha. \\ $$ Answered by universe last updated on 18/Jan/25…