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Question Number 84969 by subhankar10 last updated on 18/Mar/20 $$\mathrm{let}\:\mathrm{c}\:\mathrm{is}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{vector}\:\mathrm{and}\:\overset{\rightarrow} {\mathrm{r}}=\mathrm{x}\hat {\mathrm{i}}+\mathrm{y}\hat {\mathrm{j}}+\mathrm{z}\hat {\mathrm{k}}\:\mathrm{then}\:\mathrm{proved}\:\mathrm{that}\:\mathrm{grad}\:\mid\mathrm{c}×\overset{\rightarrow} {\mathrm{r}}\mid^{\mathrm{n}} =\mathrm{n}\mid\mathrm{c}×\overset{\rightarrow} {\mathrm{r}}\mid^{\mathrm{n}−\mathrm{2}} \mathrm{c}×\left(\overset{\rightarrow} {\mathrm{r}}×\mathrm{c}\right). \\ $$ Terms of Service Privacy…
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 $$\overset{\rightarrow} {\bigtriangledown}={i}\frac{\partial}{\partial{x}}+{j}\frac{\partial}{\partial{y}}+{k}\frac{\partial}{\partial{z}}\:\:{is}\:{grade}…
Question Number 18243 by ajfour last updated on 17/Jul/17 Commented by ajfour last updated on 17/Jul/17 $$\mathrm{If}\:\:\:\:\mathrm{z}=\mid\mathrm{z}\mid\left(\mathrm{e}^{\mathrm{i}\boldsymbol{\phi}} \mathrm{cos}\:\theta+\mathrm{jsin}\:\theta\right) \\ $$$$\mathrm{z}_{\boldsymbol{\phi}+\bigtriangleup\boldsymbol{\phi}} =\mid\mathrm{z}\mid\left(\mathrm{e}^{\mathrm{i}\boldsymbol{\phi}+\mathrm{i}\bigtriangleup\boldsymbol{\phi}} \mathrm{cos}\:\theta+\mathrm{jsin}\:\theta\right) \\ $$$$\mathrm{z}^{\theta+\bigtriangleup\theta} \:=\mid\mathrm{z}\mid\left[\mathrm{e}^{\mathrm{i}\boldsymbol{\phi}}…
Question Number 148447 by Nizam last updated on 28/Jul/21 $$\mathrm{sin}\left({x}\right)={a},\:{a}\in \\ $$ Answered by Ar Brandon last updated on 28/Jul/21 $$−\mathrm{1}\leqslant\mathrm{a}\leqslant\mathrm{1} \\ $$ Terms of…
Question Number 146150 by Ppmaurya last updated on 11/Jul/21 $$\:\:\:\left(\boldsymbol{\mathrm{L}}\mathrm{evel}\:-\:\mathrm{2}\right)\:\:\:\:\:\mathrm{10}\boldsymbol{\mathrm{th}}\:\boldsymbol{\mathrm{maths}}\:\boldsymbol{\mathrm{assignment}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{polynomials}}\:\boldsymbol{\mathrm{by}}\:\boldsymbol{\mathrm{PP}}\:\boldsymbol{\mathrm{sir}} \\ $$$$\mathrm{Defind}\:\mathrm{upwards}\:\mathrm{and}\:\mathrm{downwards}\:\mathrm{parabolas}. \\ $$$$ \\ $$$$ \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
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Question Number 145528 by physicstutes last updated on 05/Jul/21 $$\mathrm{State}\:\mathrm{the}\:\mathrm{asymptotes}\:\mathrm{of}\:\mathrm{the}\:\mathrm{curve}\: \\ $$$$\:{y}^{\mathrm{2}} \:=\:\frac{\mathrm{3}{x}^{\mathrm{2}} }{{x}−\mathrm{4}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 144783 by nonh1 last updated on 29/Jun/21 Commented by gsk2684 last updated on 29/Jun/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{2}} \mathrm{x}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} \mathrm{x}+\left(\mathrm{x}−\mathrm{x}\right)^{\mathrm{2}} } \\ $$$$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{x}^{\mathrm{4}}…
Question Number 65797 by Souvik Ghosh last updated on 04/Aug/19 $${find}\:{the}\:{constant}\:\:{a},{b}\:{and}\:\:{c}\:\:{so} \\ $$$${that}\:{the}\:{direction}\:{derivative}\:{of} \\ $$$$\Phi={axy}^{\mathrm{2}} +{byz}+{cz}^{\mathrm{2}} {x}^{\mathrm{3}} \:{at}\:\left(\mathrm{1},\mathrm{2},−\mathrm{1}\right) \\ $$$${has}\:{a}\:{maximum}\:{of}\:{magnitude} \\ $$$$\mathrm{64}\:{jn}\:{a}\:{direction}\:{parallel}\:{to}\:{the} \\ $$$${z}\:{axis}. \\…