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Author: Tinku Tara

solve-in-R-ax-b-3-1-7-b-ax-3-1-7-65-8-

Question Number 150171 by puissant last updated on 10/Aug/21 $${solve}\:{in}\:\mathbb{R}: \\ $$$$\sqrt[{\mathrm{7}}]{\left({ax}−{b}\right)^{\mathrm{3}} }−\sqrt[{\mathrm{7}}]{\left({b}−{ax}\right)^{−\mathrm{3}} }=\frac{\mathrm{65}}{\mathrm{8}} \\ $$ Answered by liberty last updated on 10/Aug/21 $$\mathrm{let}\:\sqrt[{\mathrm{7}}]{\left(\mathrm{ax}−\mathrm{b}\right)^{\mathrm{3}} }\:=\:\mathrm{u}…

If-tan-pi-4-x-tan-3-pi-4-then-prove-that-cosec-2x-1-3-sin-2-2-3-sin-2-sin-3-2-

Question Number 19097 by Tinkutara last updated on 04/Aug/17 $$\mathrm{If}\:\mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}\:+\:{x}\right)\:=\:\mathrm{tan}^{\mathrm{3}} \:\left(\frac{\pi}{\mathrm{4}}\:+\:\alpha\right)\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\mathrm{cosec}\:\mathrm{2}{x}\:=\:\frac{\mathrm{1}\:+\:\mathrm{3}\:\mathrm{sin}^{\mathrm{2}} \:\mathrm{2}\alpha}{\mathrm{3}\:\mathrm{sin}\:\mathrm{2}\alpha\:+\:\mathrm{sin}^{\mathrm{3}} \:\mathrm{2}\alpha} \\ $$ Answered by 951172235v last updated on 01/Feb/19 $$\frac{\mathrm{cos}\:\mathrm{x}+\mathrm{sin}\:\mathrm{x}}{\mathrm{cos}\:\mathrm{x}−\mathrm{sin}\:\mathrm{x}}\:\:=\:\:\left(\frac{\mathrm{cos}\:\alpha+\mathrm{sin}\:\alpha}{\mathrm{cos}\:\alpha−\mathrm{sin}\:\alpha}\right)^{\mathrm{3}}…

Question-84628

Question Number 84628 by mr W last updated on 14/Mar/20 Commented by mr W last updated on 14/Mar/20 $${The}\:{distance}\:{between}\:{A}\:{and}\:{B}\:{is}\:{d}. \\ $$$${Two}\:{projectiles}\:{are}\:{shot}\:{at}\:{the}\:{same} \\ $$$${time}\:{as}\:{shown}. \\ $$$${After}\:{which}\:{time}\:{are}\:{the}\:{projectiles}…

1-sec-x-lt-2tan-x-on-0-2pi-2-find-the-cirtical-points-and-the-range-of-f-x-x-3-2x-1-

Question Number 84627 by M±th+et£s last updated on 14/Mar/20 $$\left.\mathrm{1}\right)\mid{sec}\left({x}\right)\mid<\mathrm{2}{tan}\left({x}\right)\:{on}\left[\mathrm{0},\mathrm{2}\pi\right] \\ $$$$ \\ $$$$\left.\mathrm{2}\right){find}\:{the}\:{cirtical}\:{points}\:{and}\:{the}\:{range}\:{of} \\ $$$${f}\left({x}\right)=\mid{x}−\mathrm{3}\mid+\mid\mathrm{2}{x}+\mathrm{1}\mid \\ $$$$ \\ $$ Commented by TANMAY PANACEA last…

find-grad-r-m-where-r-x-2-y-2-z-2-

Question Number 84624 by subhankar10 last updated on 14/Mar/20 $$\mathrm{find}\:\mathrm{grad}\:\mathrm{r}^{\mathrm{m}} \:\:\mathrm{where}\:\mathrm{r}=\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{z}^{\mathrm{2}} \\ $$ Answered by TANMAY PANACEA last updated on 14/Mar/20 $$\overset{\rightarrow} {\bigtriangledown}={i}\frac{\partial}{\partial{x}}+{j}\frac{\partial}{\partial{y}}+{k}\frac{\partial}{\partial{z}}\:\:{is}\:{grade}…

Question-150156

Question Number 150156 by Lekhraj last updated on 09/Aug/21 Answered by Ar Brandon last updated on 10/Aug/21 $${u}_{{n}} =−\mathrm{4},\:\mathrm{1},\:\mathrm{12},\:\mathrm{29},\:\mathrm{52},\:\mathrm{81},\:\mathrm{116},…\:{u}_{\mathrm{1}} =−\mathrm{4} \\ $$$$\Delta{u}_{{n}} =\mathrm{5},\:\mathrm{11},\:\mathrm{17},\:\mathrm{23},\:\mathrm{29},…\:\:{d}_{\mathrm{1}} =\mathrm{5} \\…

f-n-x-f-n-1-x-f-n-1-x-f-1-x-x-2017-x-8-x-4-lim-n-f-n-x-

Question Number 19085 by 433 last updated on 04/Aug/17 $$\mathrm{f}_{\mathrm{n}} \left(\mathrm{x}\right)=\sqrt{\mathrm{f}_{\mathrm{n}−\mathrm{1}} \left(\mathrm{x}\right)×\left(\mathrm{f}_{\mathrm{n}−\mathrm{1}} \left(\mathrm{x}\right)\right)'} \\ $$$$\mathrm{f}_{\mathrm{1}} \left(\mathrm{x}\right)=\mathrm{x}^{\mathrm{2017}} +\mathrm{x}^{\mathrm{8}} +\mathrm{x}^{\mathrm{4}} \\ $$$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}f}_{\mathrm{n}} \left(\mathrm{x}\right)=? \\ $$ Terms…