Question Number 73274 by peter frank last updated on 09/Nov/19 Commented by kaivan.ahmadi last updated on 09/Nov/19 $${t}=\mathrm{0}\Rightarrow{x}=\mathrm{1}\:,\:{y}=\mathrm{0}\Rightarrow \\ $$$$\frac{\partial{f}}{\partial{t}}=\frac{\partial{f}}{\partial{x}}×\frac{\partial{x}}{\partial{t}}+\frac{\partial{f}}{\partial{y}}×\frac{\partial{y}}{\partial{t}}= \\ $$$$\left({siny}+{e}^{{x}} {cosy}\right)\left(\mathrm{2}{t}\right)+\left({xcosy}−{e}^{{x}} {siny}\right)\left(\mathrm{2}{t}\right)\mid_{{t}=\mathrm{0}} =…
Question Number 7739 by upendrakishor99@gmail.com last updated on 13/Sep/16 $${Ifz}_{\mathrm{1}} ,{z}_{\mathrm{2}} {be}\:{complex}\:{numbers},\:{prove}\:{that} \\ $$$${tan}\left({z}_{\mathrm{1}} +{z}_{\mathrm{2}} \right)={tanz}_{\mathrm{1}} +{tanz}_{\mathrm{2}} /\mathrm{1}−{tanz}_{\mathrm{1}} {tanz}_{\mathrm{2}} \\ $$$$ \\ $$$$ \\ $$…
Question Number 73273 by peter frank last updated on 09/Nov/19 Answered by MJS last updated on 09/Nov/19 $$\mathrm{tricky}… \\ $$$${x}^{\mathrm{2}} −\mathrm{cos}\:\mathrm{2}{x}\:−\mathrm{1}= \\ $$$$={x}^{\mathrm{2}} −\mathrm{2cos}^{\mathrm{2}} \:{x}\:=…
Question Number 7728 by FilupSmith last updated on 13/Sep/16 $$\frac{{dN}}{{dt}}={N}^{{t}} \\ $$$${N}\left({t}\right)=? \\ $$ Commented by sou1618 last updated on 13/Sep/16 $${N}\left({t}\right)=\int{N}^{{t}} {dt} \\ $$$$\:\:\:\:\:\:\:\:=\int{e}^{{t}\:{lnN}}…
2x-y-z-8-equation-i-x-2-y-2-2z-2-14-equation-ii-3x-3-4y-3-z-3-195-equation-iii-Solve-simultaneously-
Question Number 7713 by Tawakalitu. last updated on 11/Sep/16 $$\mathrm{2}{x}\:+\:{y}−\:{z}\:=\:\mathrm{8}\:\:\:\:……….\:{equation}\:\left({i}\right) \\ $$$${x}^{\mathrm{2}} \:−\:{y}^{\mathrm{2}} \:+\:\mathrm{2}{z}^{\mathrm{2}} \:=\:\mathrm{14}\:\:\:\:……….\:{equation}\:\left({ii}\right) \\ $$$$\mathrm{3}{x}^{\mathrm{3}} \:+\:\mathrm{4}{y}^{\mathrm{3}} \:+\:{z}^{\mathrm{3}} \:=\:\mathrm{195}\:\:\:\:………\:{equation}\:\left({iii}\right) \\ $$$$ \\ $$$${Solve}\:{simultaneously}. \\…
Question Number 138783 by mathdanisur last updated on 18/Apr/21 $${Solve}\:{for}\:{real}\:{numbees}: \\ $$$$\begin{cases}{{a}^{\mathrm{16}} +\mathrm{1}=\frac{{a}+{b}}{\mathrm{2}}}\\{{b}^{\mathrm{16}} +\mathrm{1}=\frac{{b}+{c}}{\mathrm{2}}}\\{{c}^{\mathrm{16}} +\mathrm{1}=\frac{{c}+{x}}{\mathrm{2}}}\end{cases} \\ $$ Commented by mr W last updated on 18/Apr/21…
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Question Number 7697 by Rohit 57 last updated on 09/Sep/16 $${Q}.\mathrm{1}\:{which}\:{term}\:{of}\:{A}.{P}:\:\mathrm{3},\:\mathrm{15},\:\mathrm{27},\:\mathrm{39}… \\ $$$$…{will}\:{be}\:\mathrm{132}\:{more}\:{than}\:{its}\:\mathrm{54}{th}\:{term}. \\ $$ Commented by prakash jain last updated on 09/Sep/16 $$\mathrm{The}\:\mathrm{given}\:\mathrm{series} \\…
Question Number 7692 by Rohit last updated on 09/Sep/16 $${d}\:{efine}\:{the}\:\underset{{i}=\mathrm{1}} {\overset{\mathrm{5}} {\sum}}\:{a}_{{i}} \:=\mathrm{10}\:\:\:\Sigma\:{kya}\:{hai} \\ $$ Answered by prakash jain last updated on 11/Sep/16 $$\Sigma\:\mathrm{stands}\:\mathrm{for}\:\mathrm{summation}\:\mathrm{notation}. \\…
Question Number 138766 by nadovic last updated on 18/Apr/21 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{3}{x}^{\mathrm{2}} +{x}+\mathrm{2}=\mathrm{0},\:\mathrm{find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{whose} \\ $$$$\mathrm{roots}\:\mathrm{are}\:\:\frac{\mathrm{1}}{\alpha^{\mathrm{2}} }\:\:\mathrm{and}\:\:\frac{\mathrm{1}}{\beta^{\mathrm{2}} }\:\:\mathrm{and}\:\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{27}\alpha^{\mathrm{4}} =\mathrm{11}\alpha+\mathrm{10}. \\ $$ Commented by MJS_new…