Question Number 147749 by cesarL last updated on 23/Jul/21 $$\int\frac{\sqrt{\mathrm{2}−{x}^{\mathrm{2}} }+\sqrt{\mathrm{2}+{x}^{\mathrm{2}} }}{\:\sqrt{\mathrm{4}−{x}^{\mathrm{4}} }}{dx} \\ $$ Answered by mathmax by abdo last updated on 23/Jul/21 $$\mathrm{I}=\int\:\frac{\sqrt{\mathrm{2}−\mathrm{x}^{\mathrm{2}}…
Question Number 147748 by Odhiambojr last updated on 23/Jul/21 $${prove}\:{that}\:{curves}\:{x}^{\mathrm{2}\:} −{y}^{\mathrm{2}} =\mathrm{3}\:{and} \\ $$$$\:{xy}=\mathrm{2}\:{intersect}\:{at}\:{the}\:{right}\:{angle}\: \\ $$$$ \\ $$ Commented by Olaf_Thorendsen last updated on 23/Jul/21…
Question Number 16675 by Tinkutara last updated on 25/Jun/17 $$\mathrm{The}\:\mathrm{number}\:\mathrm{of}\:\mathrm{intersecting}\:\mathrm{points}\:\mathrm{on} \\ $$$$\mathrm{the}\:\mathrm{graph}\:\mathrm{for}\:\mathrm{sin}\:{x}\:=\:\frac{{x}}{\mathrm{10}}\:\mathrm{for}\:{x}\:\in\:\left[−\pi,\:\pi\right] \\ $$$$\mathrm{is} \\ $$ Answered by ajfour last updated on 25/Jun/17 Commented by…
Question Number 147747 by 0731619 last updated on 23/Jul/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 147746 by 0731619 last updated on 23/Jul/21 Answered by mindispower last updated on 23/Jul/21 $$\frac{{tan}^{−} \left({x}^{\mathrm{2}} \right)}{{tan}^{−} \left({x}\right)}<\mathrm{1} \\ $$$${x}\leqslant{x}^{\mathrm{2}} <\mathrm{1},\:{and}\:{using}\:{tan}^{−} \:{increasing}\:{function} \\…
Question Number 147737 by liberty last updated on 23/Jul/21 $$\:\underset{{n}\geqslant\mathrm{1}} {\sum}\:\frac{\mathrm{1}}{{n}^{\mathrm{2}} }\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{3}}+…+\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} =? \\ $$ Answered by ArielVyny last updated on 24/Jul/21 $$\left(\underset{{n}\geqslant\mathrm{1}} {\sum}\frac{\mathrm{1}}{{n}}\right)^{\mathrm{2}} \leqslant\Sigma\frac{\mathrm{1}}{{n}^{\mathrm{2}}…
Question Number 16665 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 25/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 25/Jun/17 $${ABCDE},{is}\:{regular}.'{F}'\:{is}\:{a}\:{point}\:{on} \\ $$$${cicumcircle}. \\ $$$$\left.\mathrm{1}\right){prove}\:{that}: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{FD}+{FA}+{FC}={FE}+{FB} \\ $$$$\left.\mathrm{2}\right){if}:\:{DC}=\mathrm{1},{FA}=\sqrt{\mathrm{5}},{find}\:{all}\:{segments}…
Question Number 147738 by liberty last updated on 23/Jul/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{arctan}\:{x}−\mathrm{arcsin}\:{x}}{\mathrm{sin}\:^{\mathrm{3}} {x}}\:=? \\ $$ Answered by gsk2684 last updated on 23/Jul/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{\mathrm{tan}^{−\mathrm{1}} {x}−\mathrm{sin}^{−\mathrm{1}} {x}}{\mathrm{sin}\:^{\mathrm{3}}…
Question Number 16663 by tawa tawa last updated on 25/Jun/17 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 16656 by Tinkutara last updated on 24/Jun/17 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{moves}\:\mathrm{with}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{10} \\ $$$$\mathrm{ms}^{−\mathrm{1}} \:\mathrm{from}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{2},\:−\mathrm{2}\right)\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{direction}\:\mathrm{3}\overset{\wedge} {{i}}\:+\:\mathrm{4}\overset{\wedge} {{j}}.\:\mathrm{The}\:\mathrm{position}\:\mathrm{vector} \\ $$$$\mathrm{after}\:\mathrm{3}\:\mathrm{s}\:\mathrm{is} \\ $$ Answered by sma3l2996 last…