Question Number 17963 by ajfour last updated on 13/Jul/17 Commented by ajfour last updated on 13/Jul/17 $$\mathrm{AB}=\mathrm{2a}\:\:,\:\:\mathrm{CD}=\mathrm{2b} \\ $$$$\mathrm{Find}\:\boldsymbol{\mathrm{r}}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\:\:\mathrm{a},\mathrm{b},\phi,\:\mathrm{and}\:\mathrm{R}. \\ $$$$\mathrm{Hence}\:\mathrm{find}\:\mathrm{AP}^{\mathrm{2}} +\mathrm{BP}^{\mathrm{2}} +\mathrm{CP}^{\mathrm{2}} +\mathrm{DP}^{\mathrm{2}} .…
Question Number 17869 by ajfour last updated on 11/Jul/17 Commented by ajfour last updated on 11/Jul/17 $$\mathrm{Q}.\mathrm{17852}\:\:\left(\mathrm{solution}\right) \\ $$ Answered by ajfour last updated on…
Question Number 83285 by jagoll last updated on 29/Feb/20 $$\mathrm{3}^{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{4}\right)} \:\leqslant\:\mathrm{7}^{\mathrm{x}+\mathrm{2}} \\ $$$$\mathrm{find}\:\mathrm{solution} \\ $$ Commented by jagoll last updated on 29/Feb/20 $$\mathrm{7}^{\mathrm{log}_{\mathrm{7}} \:\left(\mathrm{3}^{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{4}\right)} \right)\:}…
Question Number 17374 by ajfour last updated on 04/Jul/17 Commented by ajfour last updated on 04/Jul/17 $$\mathrm{The}\:\mathrm{base}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{an}\:\mathrm{isosceles} \\ $$$$\bigtriangleup\mathrm{ABC}\:\mathrm{is}\:\alpha\:\left(>\mathrm{45}°\right),\:\mathrm{the}\:\mathrm{area}\:\mathrm{of} \\ $$$$\mathrm{which}\:\mathrm{is}\:\mathrm{S}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{area}\:\mathrm{of}\:\mathrm{a} \\ $$$$\mathrm{triangle}\:\left(\bigtriangleup\mathrm{DEF}\right)\:\mathrm{whose}\:\mathrm{vertices} \\ $$$$\mathrm{are}\:\mathrm{the}\:\mathrm{feet}\:\mathrm{of}\:\mathrm{the}\:\mathrm{altitudes}\:\mathrm{of}\:…
Question Number 148137 by Willson last updated on 25/Jul/21 $$\int\:\:\frac{\mathrm{3}{cos}^{\mathrm{2}} \left({x}\right)+\mathrm{1}}{{sin}^{\mathrm{5}} \left({x}\right)}{dx}\:=\:??? \\ $$ Answered by puissant last updated on 25/Jul/21 $$=\int\frac{\mathrm{4cos}^{\mathrm{2}} \left(\mathrm{x}\right)+\mathrm{sin}^{\mathrm{2}} \left(\mathrm{x}\right)}{\mathrm{sin}^{\mathrm{5}} \left(\mathrm{x}\right)}\mathrm{dx}=\int\frac{\mathrm{4}+\mathrm{tan}^{\mathrm{2}}…
Question Number 82572 by jagoll last updated on 22/Feb/20 Commented by Tony Lin last updated on 22/Feb/20 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 147905 by puissant last updated on 24/Jul/21 Answered by Olaf_Thorendsen last updated on 24/Jul/21 $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} \:=\:\mathrm{13} \\ $$$$\mathrm{2}{xdx}+\mathrm{2}{ydy}\:=\:\mathrm{0} \\ $$$${x}+{y}\frac{{dy}}{{dx}}\:=\:\mathrm{0} \\ $$$$\bullet\:\mathrm{En}\:\left(\mathrm{2},−\mathrm{3}\right)\::…
Question Number 147904 by puissant last updated on 24/Jul/21 Answered by Olaf_Thorendsen last updated on 24/Jul/21 $$\mathrm{Il}\:\mathrm{y}\:\mathrm{a}\:\mathrm{6}\:\mathrm{valeurs}\:\mathrm{de}\:{x}\:\left({x}_{\mathrm{0}} \:\mathrm{a}\:{x}_{\mathrm{5}} \right),\:\mathrm{ce}\:\mathrm{qui} \\ $$$$\mathrm{definit}\:\mathrm{5}\:\mathrm{intervalles}\:\mathrm{qui}\:\mathrm{correspondent} \\ $$$$\mathrm{a}\:\mathrm{5}\:\mathrm{trapezes}. \\ $$$$\mathrm{Chaque}\:\mathrm{trapeze}\:{k}\:\mathrm{a}\:\mathrm{une}\:\mathrm{surface}\:\mathrm{egale}…
Question Number 82349 by Tony Lin last updated on 20/Feb/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} +\mathrm{1}}=? \\ $$ Answered by mind is power last updated on 21/Feb/20…
Question Number 147828 by puissant last updated on 23/Jul/21 $$\underset{\mathrm{p}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}\mathrm{psh}\left(\mathrm{a}+\mathrm{bp}\right) \\ $$ Answered by Olaf_Thorendsen last updated on 23/Jul/21 $$ \\ $$$$\:\underset{{p}=\mathrm{0}} {\overset{{n}}…