Question Number 4420 by ankitbhawarkar333gmail.com last updated on 24/Jan/16 Answered by Yozzii last updated on 24/Jan/16 $${f}\left({x}\right)={sin}\mathrm{3}{x}−\mathrm{3}{sinx} \\ $$$${f}^{'} \left({x}\right)=\mathrm{3}{cos}\mathrm{3}{x}−\mathrm{3}{cosx} \\ $$$$\therefore\:{f}^{'} \left(\pi/\mathrm{2}\right)=\mathrm{3}{cos}\frac{\mathrm{3}\pi}{\mathrm{2}}−\mathrm{3}{cos}\frac{\pi}{\mathrm{2}}=\mathrm{0}. \\ $$$${Since}\:{f}^{'}…
Question Number 69954 by 20190927 last updated on 29/Sep/19 $$\mathrm{A}=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix}\:\:\:\:\mathrm{find}\:\mathrm{A}^{\mathrm{n}} \\ $$ Commented by mathmax by abdo last updated on 29/Sep/19 $${A}\:=\begin{pmatrix}{\mathrm{1}\:\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{1}}\end{pmatrix}\:+\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix}\:\:={I}\:+{J} \\ $$$${we}\:{have}\:{J}^{\mathrm{2}} =\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix}\:.\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\:\:\:\mathrm{2}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix}\:=\begin{pmatrix}{\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}}\\{\mathrm{0}\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{0}}\end{pmatrix}…
Question Number 4418 by Syaka last updated on 23/Jan/16 $${What}\:{the}\:{exact}\:{value}\:{of}\:: \\ $$$${sin}\:\mathrm{10}°\:\left(\mathrm{2}{cos}\:\mathrm{10}°\:+\:\mathrm{1}\right)\left(\mathrm{2}{cos}\:\mathrm{10}°\:−\:\mathrm{1}\right)\:=\:….? \\ $$$$ \\ $$ Answered by Yozzii last updated on 24/Jan/16 $${sin}\mathrm{10}°\left(\mathrm{2}{cos}\mathrm{10}°+\mathrm{1}\right)\left(\mathrm{2}{cos}\mathrm{10}°−\mathrm{1}\right) \\…
Question Number 135490 by benjo_mathlover last updated on 13/Mar/21 $${Combination} \\ $$A committee of 8 people is to be formed from 7 women and 5…
Question Number 69953 by Shamim last updated on 29/Sep/19 $$\mathrm{if}\:\mathrm{tan}\:\theta+\mathrm{sec}\:\theta=\:\sqrt{\mathrm{3}}\:\mathrm{than}\:\mathrm{find}\:\mathrm{out}\:\mathrm{the} \\ $$$$\mathrm{value}\:\mathrm{of}\underset{} {\:}\theta\:\mathrm{where}\:\mathrm{0}^{\mathrm{o}} \leqslant\theta\leqslant\mathrm{2}\pi. \\ $$ Commented by Shamim last updated on 29/Sep/19 $$\mathrm{ans}\:\mathrm{ki}\:\mathrm{only}\:\mathrm{x}=\frac{\pi}{\mathrm{6}}??? \\…
Question Number 4415 by Yozzii last updated on 22/Jan/16 $${Show}\:{that}\:{the}\:{curve}\:{defined}\:{by} \\ $$$${r}={sin}\mathrm{2}\theta−{sin}\mathrm{3}\theta\:\:\:\:\left(\mathrm{0}.\mathrm{2}\pi\leqslant\theta\leqslant\mathrm{0}.\mathrm{6}\pi\right) \\ $$$${is}\:{a}\:{closed}\:{loop}.\: \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 4413 by alib last updated on 22/Jan/16 $$\boldsymbol{\mathrm{C}}\mathrm{alculate}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{2}^{\boldsymbol{{x}}} +\mathrm{2}^{−\boldsymbol{{x}}} , \\ $$$$\mathrm{if}\:\mathrm{4}^{\boldsymbol{{x}}} +\mathrm{4}^{−\boldsymbol{{x}}} =\mathrm{23} \\ $$$$ \\ $$ Answered by prakash jain last…
Question Number 135486 by EDWIN88 last updated on 13/Mar/21 $$\frac{\sqrt{\mathrm{2x}+\mathrm{1}}+\sqrt{\mathrm{x}−\mathrm{1}}}{\:\sqrt{\mathrm{2x}+\mathrm{1}}−\sqrt{\mathrm{x}−\mathrm{1}}}\:=\:\frac{\mathrm{3}}{\:\sqrt{\mathrm{x}+\mathrm{2}}}\: \\ $$ Commented by benjo_mathlover last updated on 13/Mar/21 $${wrong} \\ $$$$ \\ $$ Commented…
Question Number 69944 by otchereabdullai@gmail.com last updated on 29/Sep/19 $$\mathrm{If}\:\mathrm{2}^{\mathrm{x}} \:=\mathrm{0}\:\:\:\:\:\mathrm{find}\:\:\mathrm{x} \\ $$ Commented by otchereabdullai@gmail.com last updated on 29/Sep/19 $$\mathrm{thank}\:\mathrm{you}\:\mathrm{sir} \\ $$ Commented by…
Question Number 4409 by Rasheed Soomro last updated on 22/Jan/16 $$\mathcal{D}{ivide}\:{a}\:{circle}\:{into}\:{two}\:{congruent} \\ $$$${regions}\:{such}\:{that}\:{they}\:{have}\:{no}\: \\ $$$${straightedge}. \\ $$ Commented by prakash jain last updated on 22/Jan/16…