Question Number 135384 by Bird last updated on 12/Mar/21 $${let}\:{f}\left({x}\right)={ln}\left(\mathrm{2}+{x}^{\mathrm{3}} \right) \\ $$$${if}\:{f}\left({x}\right)=\Sigma{a}_{{n}} {x}^{{n}} \\ $$$${find}\:{a}_{{n}} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 69851 by necxxx last updated on 28/Sep/19 $${A}\:{convex}\:{mirror}\:{of}\:{radius}\:{of}\:{curvature} \\ $$$$\mathrm{30}{cm}\:{forms}\:{a}\:{real}\:{image}\:\mathrm{20}{cm}\:{from}\:{its} \\ $$$${surface}.{Find}\:{whether}\:{the}\:{imavect}\:{is} \\ $$$${erect}\:{or}\:{inverted}.{Please}\:{explain}\:{how}\: \\ $$$${possible}\:{this}\:{is}. \\ $$$$ \\ $$$${Thanks}\:{in}\:{advance}. \\ $$ Terms…
Question Number 4314 by Filup last updated on 09/Jan/16 $${S}=\int_{{a}} ^{\:{b}} {n}^{{t}^{\mathrm{2}} } {dt} \\ $$$${n}\in\mathbb{R} \\ $$$$ \\ $$$$\mathrm{Can}\:\mathrm{we}\:\mathrm{solve}\:{S}? \\ $$ Commented by Filup…
Question Number 4312 by prakash jain last updated on 08/Jan/16 $${g}_{\mathrm{1}} \left({x}\right)={x} \\ $$$${g}_{{n}} \left({x}\right)=\left[{g}_{{n}−\mathrm{1}} \left({x}\right)\right]^{{x}} \\ $$$${f}\left({x}\right)=\underset{{n}\rightarrow\infty} {\mathrm{lim}}{g}_{{n}} \left({x}\right) \\ $$$$\mathrm{Is}\:{f}\left({x}\right)\:\mathrm{analytical}\:\mathrm{for}\:\mathrm{some}\:\mathrm{subset}\:\mathrm{of}\:\mathbb{R}? \\ $$ Terms…
Question Number 135381 by Bird last updated on 12/Mar/21 $${let}\:\Phi\left({x}\right)={ln}\left({sinx}\:−{cosx}\right) \\ $$$${developp}\:\Phi\:{at}\:{fourier}\:{serie} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69846 by Rio Michael last updated on 28/Sep/19 $${Find}\:{the}\:{x}−{component}\:{and}\:{y}−{component}\:{of}\:{a}\:\mathrm{25}{N}\:{force}\:{acting}\:{at}\:\mathrm{210}°\:{angle} \\ $$ Answered by MJS last updated on 28/Sep/19 $$\begin{pmatrix}{\mathrm{25cos}\:\mathrm{210}°}\\{\mathrm{25sin}\:\mathrm{210}°}\end{pmatrix}=\begin{pmatrix}{−\frac{\mathrm{25}\sqrt{\mathrm{3}}}{\mathrm{2}}}\\{−\frac{\mathrm{25}}{\mathrm{2}}}\end{pmatrix}\:\approx\begin{pmatrix}{−\mathrm{21}.\mathrm{6506}}\\{−\mathrm{12}.\mathrm{5}}\end{pmatrix} \\ $$ Commented by…
Question Number 135380 by Bird last updated on 12/Mar/21 $${calculate}\:\int_{\mathrm{0}} ^{\infty} \:{e}^{−{x}} {ln}\left(\mathrm{1}+{x}^{\mathrm{2}} \right){dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 69847 by Rio Michael last updated on 28/Sep/19 $${A}\:{plane}\:{is}\:{travelling}\:{at}\:\mathrm{500}{km}/{hr}\:{eastward}. \\ $$$${wind}\:{blows}\:{at}\:\mathrm{90}{km}/{hr}\:{southward}. \\ $$$${find}\:{the}\:{velocity}\:{and}\:{direction}\:{if}\:{the}\:{plane}\:{rlative}\:{to}\:{the}\:{ground}. \\ $$ Answered by MJS last updated on 28/Sep/19 $$\begin{pmatrix}{\mathrm{500}}\\{\mathrm{0}}\end{pmatrix}+\begin{pmatrix}{\mathrm{0}}\\{−\mathrm{90}}\end{pmatrix}=\begin{pmatrix}{\mathrm{500}}\\{−\mathrm{90}}\end{pmatrix}…
Question Number 135382 by Bird last updated on 12/Mar/21 $${find}\:\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}} {ln}\left(\mathrm{1}−{x}^{\mathrm{4}} \right){dx}\:{with}\:{n} \\ $$$${integr}\:{natural} \\ $$ Answered by Dwaipayan Shikari last updated on…
Question Number 135377 by Bird last updated on 12/Mar/21 $${solve}\:{x}^{\mathrm{2}} {y}^{''} +\left(\mathrm{1}+{x}^{\mathrm{2}} \right){y}^{'} \:+\mathrm{3}{y}\:={e}^{−{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com