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Question Number 103894 by Study last updated on 18/Jul/20 $$\frac{{d}}{{d}\left(\frac{{d}}{{dx}}{sinx}\right)}\centerdot{sinx}=? \\ $$ Answered by 1549442205 last updated on 18/Jul/20 $$\mathrm{Denote}\:\mathrm{I}=\frac{\mathrm{d}}{\mathrm{d}\frac{\mathrm{d}}{\mathrm{dx}}\mathrm{sinx}}\mathrm{sinx}=\frac{\mathrm{d}}{\mathrm{dcosx}}\mathrm{sinx}. \\ $$$$\mathrm{Putting}\:\:\mathrm{cos}\:\mathrm{x}=\mathrm{t}.\mathrm{Then} \\ $$$$\mathrm{we}\:\mathrm{have}\:\mathrm{I}=\frac{\mathrm{d}}{\mathrm{dt}}\sqrt{\mathrm{1}−\mathrm{t}^{\mathrm{2}} }=\frac{−\mathrm{t}}{\:\sqrt{\mathrm{1}−\mathrm{t}^{\mathrm{2}}…

by-using-the-Frobinus-method-solve-the-deffrentional-equation-xy-2pxy-p-p-1-b-2-x-2-y-0-and-give-for-example-for-this-when-p-1-b-2-such-that-p-b-be-areal-number-

Question Number 103869 by mohammad17 last updated on 17/Jul/20 $${by}\:{using}\:{the}\:{Frobinus}\:{method}\:{solve}\:{the}\:{deffrentional}\:{equation} \\ $$$${xy}^{''} −\mathrm{2}{pxy}^{'} +\left({p}\left({p}+\mathrm{1}\right)+{b}^{\mathrm{2}} {x}^{\mathrm{2}} \right){y}=\mathrm{0} \\ $$$$ \\ $$$${and}\:{give}\:{for}\:{example}\:{for}\:{this}\:{when}\:{p}=\mathrm{1},{b}=\mathrm{2}\: \\ $$$${such}\:{that}\:\left({p},{b}\right)\:{be}\:{areal}\:{number}\:? \\ $$ Terms…

Question-169397

Question Number 169397 by mokys last updated on 29/Apr/22 Answered by mr W last updated on 30/Apr/22 $${AC}\leqslant{AB}+{BC} \\ $$$$\sqrt{\left({x}+{y}\right)^{\mathrm{2}} +\left(\mathrm{3}+\mathrm{1}\right)^{\mathrm{2}} }\leqslant\sqrt{{x}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} }+\sqrt{{y}^{\mathrm{2}} +\mathrm{1}^{\mathrm{2}}…

i-given-the-function-f-t-e-t-and-g-t-lnt-show-that-f-g-t-g-f-t-ii-if-f-t-at-g-t-bt-2-3-fog-2-35-and-fog-3-75-find-the-value-of-a-and-b-

Question Number 38286 by mondodotto@gmail.com last updated on 23/Jun/18 $$\left(\boldsymbol{{i}}\right)\:\mathrm{given}\:\mathrm{the}\:\mathrm{function}\:\boldsymbol{{f}}\left(\boldsymbol{{t}}\right)=\boldsymbol{\mathrm{e}}^{\boldsymbol{{t}}} \:\:\boldsymbol{\mathrm{and}}\:\boldsymbol{{g}}\left(\boldsymbol{{t}}\right)=\boldsymbol{\mathrm{ln}{t}} \\ $$$$\boldsymbol{\mathrm{show}}\:\boldsymbol{\mathrm{that}}\:\boldsymbol{{f}}\circ\boldsymbol{{g}}\left(\boldsymbol{{t}}\right)=\boldsymbol{{g}}\circ\boldsymbol{{f}}\left(\boldsymbol{{t}}\right) \\ $$$$\left(\boldsymbol{{ii}}\right)\mathrm{if}\:\boldsymbol{{f}}\left(\boldsymbol{{t}}\right)=\boldsymbol{{at}}\:,\:\boldsymbol{{g}}\left(\boldsymbol{{t}}\right)=\boldsymbol{{bt}}^{\mathrm{2}} +\mathrm{3} \\ $$$$\left(\boldsymbol{{fog}}\right)\left(\mathrm{2}\right)=\mathrm{35}\:\boldsymbol{\mathrm{and}}\:\left(\boldsymbol{{fog}}\right)\left(\mathrm{3}\right)=\mathrm{75} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\boldsymbol{{a}}\:\mathrm{and}\:\boldsymbol{{b}} \\ $$ Commented by math…

Question-38262

Question Number 38262 by jasno91 last updated on 23/Jun/18 Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jun/18 $$\frac{\mathrm{10}}{\mathrm{9}},\frac{\mathrm{11}}{\mathrm{9}}\:,\frac{\mathrm{12}}{\mathrm{9}} \\ $$ Terms of Service Privacy Policy Contact:…

Question-38261

Question Number 38261 by jasno91 last updated on 23/Jun/18 Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jun/18 $$\frac{\mathrm{1}}{\mathrm{9}\:}\:\:\frac{\mathrm{2}}{\mathrm{9}}\:\:\frac{\mathrm{3}}{\mathrm{9}} \\ $$ Terms of Service Privacy Policy Contact:…