Question Number 106787 by bemath last updated on 07/Aug/20 $$\:\:\:\:\:\:\overset{@\mathrm{bemath}@} {\:} \\ $$$$\:\:\mathrm{y}\:=\:\left(\mathrm{cos}\:\mathrm{2x}\right)^{\mathrm{sin}\:\mathrm{x}} \:,\:\mathrm{find}\:\frac{\mathrm{dy}}{\mathrm{dx}}\:? \\ $$ Answered by Dwaipayan Shikari last updated on 07/Aug/20 $${logy}={sinxlog}\left({cos}\mathrm{2}{x}\right)…
Question Number 106779 by bobhans last updated on 07/Aug/20 $$\:\:\:\:\:\:\:\:\:^{\succ\mathrm{bobhans}\prec} \\ $$$$\mathrm{How}\:\mathrm{do}\:\mathrm{you}\:\mathrm{find}\:\mathrm{a}\:\mathrm{point}\:\mathrm{on}\:\mathrm{the}\:\mathrm{curve}\:\mathrm{y}=\mathrm{x}^{\mathrm{2}} \\ $$$$\mathrm{closest}\:\mathrm{to}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{0},\mathrm{18}\right)\:? \\ $$ Answered by john santu last updated on 07/Aug/20 $$\:\:\:\:\:\:\:^{@\mathrm{JS}@}…
Question Number 172253 by cortano1 last updated on 25/Jun/22 $$\:\:{Max}\:{and}\:{min}\:{P}=\sqrt{\mathrm{2}}\:{x}+\:\sqrt{\mathrm{3}}\:{y} \\ $$$${subject}\:{to}\:{constraint}\: \\ $$$$\:\frac{{x}^{\mathrm{2}} }{\mathrm{9}}\:+\frac{{y}^{\mathrm{2}} }{\mathrm{25}}\:\leqslant\:\mathrm{1}\:\leqslant\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} \\ $$ Answered by mr W last updated…
Question Number 41157 by ajfour last updated on 02/Aug/18 Commented by ajfour last updated on 02/Aug/18 $${If}\:{arc}\:{length}\:{is}\:{constant},\:{equal} \\ $$$${to}\:\boldsymbol{{l}},\:{and}\:{segment}\:{area}\:{a}\:{maximum}, \\ $$$${find}\:{the}\:{radius}. \\ $$ Commented by…
Question Number 41151 by rahul 19 last updated on 02/Aug/18 $$\mathrm{Proof}\:\mathrm{that}\::\:\frac{\mathrm{d}^{\mathrm{n}} }{\mathrm{d}{x}^{{n}} }\left(\mathrm{cos}\:{x}\right)\:=\:\mathrm{cos}\:\left({x}+\frac{{n}\pi}{\mathrm{2}}\right) \\ $$$$\frac{\mathrm{d}^{\mathrm{n}} }{\mathrm{d}{x}^{{n}} }\left(\mathrm{sin}\:{x}\right)\:=\:\mathrm{sin}\:\left({x}+\frac{{n}\pi}{\mathrm{2}}\right) \\ $$$$\mathrm{where}\:\mathrm{n}\in\mathbb{Z}. \\ $$ Commented by prof Abdo…
Question Number 41139 by ajfour last updated on 02/Aug/18 Commented by ajfour last updated on 02/Aug/18 $${Q}.\mathrm{41117}\:\:{alternate}\:{solution} \\ $$ Answered by ajfour last updated on…
Question Number 41117 by ajfour last updated on 02/Aug/18 Answered by MJS last updated on 02/Aug/18 $${r}=\mathrm{1} \\ $$$${P}=\begin{pmatrix}{\mathrm{0}}\\{\mathrm{0}}\end{pmatrix}\:\:{A}=\begin{pmatrix}{\mathrm{cos}\:\alpha}\\{\mathrm{1}+\mathrm{sin}\:\alpha}\end{pmatrix}\:\:{F}=\begin{pmatrix}{\mathrm{cos}\:\alpha}\\{\mathrm{0}}\end{pmatrix} \\ $$$$\mid{AP}\mid=\sqrt{\mathrm{2}\left(\mathrm{1}+\mathrm{sin}\:\alpha\right)} \\ $$$$\mid{AF}\mid=\mathrm{1}+\mathrm{sin}\:\alpha \\ $$$$\mid{FP}\mid=\mathrm{cos}\:\alpha…
Question Number 41101 by ajfour last updated on 02/Aug/18 $${Find}\:{a}\:{general}\:{formula}\:{for}\:{m} \\ $$$${such}\:{that}\:{f}\left({x}\right)=\mid\mathrm{sin}\:{x}\mid+\mathrm{sin}\:\mid{x}\mid \\ $$$${be}\:{not}\:{differentiable}\:{at}\:{x}={m}. \\ $$ Commented by tanmay.chaudhury50@gmail.com last updated on 02/Aug/18 Commented by…
Question Number 172001 by Mikenice last updated on 23/Jun/22 $${solve}: \\ $$$$\int\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\:−\sqrt{{x}^{\mathrm{2}} −\mathrm{1}}}{\:\sqrt{{x}^{\mathrm{4}} −\mathrm{1}}}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 172002 by Mikenice last updated on 23/Jun/22 $${if}\:{y}={bcoslog}\left(\frac{{x}}{{n}}\right)^{{n}} ,\:{then} \\ $$$$\frac{{dy}}{{dx}}=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com