Question Number 213055 by MrGaster last updated on 29/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{x}\rightarrow+\infty} {\mathrm{lim}}\frac{\int_{\mathrm{0}} ^{{x}} \mid\mathrm{sin}\:{t}\mid{dx}}{{x}} \\ $$$$ \\ $$ Answered by Ghisom last updated on…
Question Number 213034 by MrGaster last updated on 29/Oct/24 Commented by MrGaster last updated on 29/Oct/24 English: The diagram shows that if $AB > AC$, and $BD = CE$, $\angle BCD = \angle CBE$, find the measure of $\angle CFE$. Japanese: グラフによると、$AB>AC$で、$BD = CE$，$\angle BCD = \angle CBE$の場合、$\angle CFE$の測定値を求めます。 Commented by mr W last updated on 29/Oct/24…
Question Number 213007 by issac last updated on 29/Oct/24 $$\mathrm{can}'\mathrm{t}\:\mathrm{find}\:\:\mathrm{coefficient}\:{f}^{\left({n}\right)} \left(\alpha\right)\:\mathrm{of}\:{Y}_{\nu} \left({z}\right) \\ $$$$\mathrm{formal}\:\mathrm{power}\:\mathrm{series}\:\mathrm{of}\:{Y}_{\nu} \left({z}\right)\:\mathrm{is} \\ $$$${Y}_{\nu} \left({z}\right)=\underset{{h}=\mathrm{0}} {\overset{\infty} {\sum}}\:\frac{{Y}_{\nu} ^{\left({h}\right)} \left(\alpha\right)}{{h}!}\left({z}−\alpha\right)^{{h}} \\ $$$${But}..\:\mathrm{can}'\mathrm{t}\:\mathrm{generalize}\:\mathrm{coeff}\:{Y}_{\nu} ^{\left({h}\right)}…
Question Number 213003 by MrGaster last updated on 28/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\mathrm{1}} \left(\mathrm{arctan}\:{x}\right)^{\mathrm{2}} {dx}. \\ $$$$ \\ $$ Answered by mathmax last updated on…
Question Number 212992 by CrispyXYZ last updated on 28/Oct/24 $${a}>\mathrm{0}.\:{b}>\mathrm{0}.\:{a}+{b}=\mathrm{2}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:{a}^{\sqrt{{a}}} {b}^{\sqrt{{b}}} . \\ $$ Answered by Ghisom last updated on 28/Oct/24 $${b}=\mathrm{2}−{a} \\…
Question Number 212925 by MrGaster last updated on 27/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} }{\:\sqrt{{n}^{\mathrm{2}} +\mathrm{1}}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 212941 by MrGaster last updated on 27/Oct/24 $$\:\:\:\:\:\:\:\:{Mathematival}\:{proof}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:{F}={m}\omega^{\mathrm{2}} {r} \\ $$ Commented by MrGaster last updated on 27/Oct/24 What it means here is "using pure mathematics to prove" " Answered by…
Question Number 212935 by MrGaster last updated on 27/Oct/24 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{Proving}\:: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\mid\int_{\mathrm{0}} ^{\mathrm{1}} {f}\left({x}\right){dx}−\frac{{f}\left(\mathrm{0}\right)+{f}\left(\mathrm{1}\right)}{\mathrm{2}}\mid\leqslant\frac{\mathrm{1}}{\mathrm{32}} \\ $$$$ \\ $$ Answered by mehdee7396 last updated…
Question Number 212929 by Davidtim last updated on 27/Oct/24 $${what}\:{is}\:{the}\:{difference}\:{between}\:{moment} \\ $$$${and}\:{torque}? \\ $$ Commented by Davidtim last updated on 28/Oct/24 $$? \\ $$ Answered…
Question Number 212886 by MrGaster last updated on 26/Oct/24 $$\int\frac{\mathrm{sin10}{x}}{\mathrm{sin}\:{x}}{dx}. \\ $$ Answered by Ghisom last updated on 26/Oct/24 $$\int\frac{\mathrm{sin}\:\mathrm{10}{x}}{\mathrm{sin}\:{x}}{dx}= \\ $$$$=\mathrm{4}\int\mathrm{cos}\:{x}\:\left(\mathrm{cos}\:\mathrm{8}{x}\:+\mathrm{cos}\:\mathrm{4}{x}\:+\frac{\mathrm{1}}{\mathrm{2}}\right){dx}= \\ $$$$\:\:\:\:\:\left[{t}=\mathrm{sin}\:{x}\right] \\…