Question Number 157851 by emanuelMcCarthy last updated on 28/Oct/21 Commented by otchereabdullai@gmail.com last updated on 29/Oct/21 $$\left.\mathrm{22}\right)\:\mathrm{Let}\:\mathrm{g}\left(\mathrm{x}\right)=−\mathrm{2x}^{\mathrm{3}} −\mathrm{3x}^{\mathrm{2}} +\mathrm{13bx}+\mathrm{20} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{x}+\mathrm{a}=\mathrm{0}\:\Rightarrow\mathrm{x}=−\mathrm{a} \\ $$$$\:\:\:\mathrm{so}\:\:\:\mathrm{f}\left(−\mathrm{a}\right)=−\mathrm{56} \\ $$$$−\mathrm{2}\left(−\mathrm{a}\right)^{\mathrm{3}}…
Question Number 157836 by zakirullah last updated on 28/Oct/21 $${find}\:{the}\:{indicated}\:{higher}\:{order}\:{derivative} \\ $$$${of}\:{the}\:{following}\:{function} \\ $$$${f}\left({x}\right)\:=\:\left({x}^{\mathrm{3}} +\mathrm{4}{x}−\mathrm{5}\right)^{\mathrm{4}} ,\:{f}\left({x}\right)^{{iv}} \\ $$ Answered by tounghoungko last updated on 29/Oct/21…
Question Number 157839 by gsk2684 last updated on 28/Oct/21 $${find}\:{the}\:{last}\:{four}\:{digits}\:{of}\: \\ $$$$\mathrm{11}^{\mathrm{15999}} ? \\ $$ Answered by Rasheed.Sindhi last updated on 29/Oct/21 $$\mathrm{11}^{\mathrm{15999}} \equiv{x}\left({mod}\:\mathrm{10}^{\mathrm{4}} \right)…
Question Number 157835 by HongKing last updated on 28/Oct/21 Answered by Rasheed.Sindhi last updated on 29/Oct/21 $$\overline {{abcd}}\::\:\:{a}<{b}<{c}<{d}\: \\ $$$$\underset{−} {\wedge\:{a}+{b}+{c}+{d}\equiv\mathrm{1}\left[\mathrm{3}\right]\wedge\:{a}+{b}+{c}+{d}\equiv\mathrm{5}\left[\mathrm{11}\right]} \\ $$$$\bullet\mathrm{1234}\leqslant\overline {{abcd}}\leqslant\mathrm{6789} \\…
Question Number 157832 by mathlove last updated on 28/Oct/21 Answered by mr W last updated on 28/Oct/21 $${x}^{{x}^{\frac{\mathrm{3}}{\mathrm{2}}} } ={x}^{{x}} {x}^{\frac{{x}}{\mathrm{2}}} \\ $$$${x}^{{x}^{\frac{\mathrm{3}}{\mathrm{2}}} −\frac{\mathrm{3}{x}}{\mathrm{2}}} =\mathrm{1}…
Question Number 92283 by jagoll last updated on 06/May/20 $$\mathrm{9}^{\mathrm{x}} +\mathrm{3}^{\mathrm{x}} \:=\:\mathrm{25}^{\mathrm{x}} −\mathrm{5}^{\mathrm{x}} \: \\ $$$$\mathrm{find}\:\frac{\mathrm{5}^{\mathrm{x}} }{\mathrm{3}^{\mathrm{x}} +\mathrm{1}}\:? \\ $$ Commented by john santu last…
Question Number 157822 by MathSh last updated on 28/Oct/21 Commented by HongKing last updated on 28/Oct/21 $$\mathrm{let}\:\mathrm{x}=\mathrm{ncos2}\alpha\:\Rightarrow\:\mathrm{dx}=-\mathrm{2nsin2}\alpha\centerdot\mathrm{d}\alpha \\ $$$$\Omega\left(\mathrm{n}\right)=\mathrm{n}\left(\frac{\mathrm{1}}{\mathrm{2}}\mathrm{log}\left(\mathrm{2n}\right)+\Upsilon\right) \\ $$$$\Upsilon=\underset{\:\frac{\boldsymbol{\pi}}{\mathrm{4}}\:} {\overset{\:\mathrm{0}} {\int}}\mathrm{log}\left(\mathrm{cos}\alpha+\mathrm{sin}\alpha\right)\frac{\mathrm{d}}{\mathrm{d}\alpha}\left(\mathrm{cos2}\alpha\right)\mathrm{d}\alpha=\frac{\pi-\mathrm{2}}{\mathrm{4}} \\ $$$$\mathrm{thus},…
Question Number 92279 by M±th+et+s last updated on 06/May/20 $$\mathrm{7}{sin}\left(\theta\right)+\mathrm{2}{cos}^{\mathrm{2}} \left(\theta\right)=\mathrm{5} \\ $$$$ \\ $$$$\mathrm{0}\leqslant\theta\leqslant\mathrm{2}\pi \\ $$ Commented by jagoll last updated on 06/May/20 $$\mathrm{7sin}\:\theta+\mathrm{2}−\mathrm{2sin}\:^{\mathrm{2}}…
Question Number 157810 by MathSh last updated on 28/Oct/21 $$\mathrm{Calculate}:\:\:\sqrt{\sqrt{\mathrm{144}\:+\:\sqrt{\mathrm{6}}}}\:=\:? \\ $$$$ \\ $$ Answered by Raxreedoroid last updated on 28/Oct/21 $$\mathrm{by}\:\mathrm{caculator}\:=\:\mathrm{3}.\mathrm{478739958}… \\ $$ Terms…
Question Number 26733 by math solver last updated on 28/Dec/17 Commented by prakash jain last updated on 28/Dec/17 $$\left(\frac{\mathrm{3}}{\mathrm{2}}{x}^{\mathrm{3}} −\frac{\mathrm{1}}{\mathrm{3}{x}}\right)^{\mathrm{9}} =\:^{\mathrm{9}} {C}_{{i}} \left(\frac{\mathrm{3}}{\mathrm{2}}\right)^{{i}} {x}^{\mathrm{2}{i}} \left(−\mathrm{1}\right)^{\mathrm{9}−{i}}…