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Author: Tinku Tara

make-t-the-subject-of-the-formular-s-ut-1-2-gt-2-3t-3-

Question Number 8352 by tawakalitu last updated on 09/Oct/16 $$\mathrm{make}\:\mathrm{t}\:\mathrm{the}\:\mathrm{subject}\:\mathrm{of}\:\mathrm{the}\:\mathrm{formular}. \\ $$$$\mathrm{s}\:=\:\mathrm{ut}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}^{\mathrm{2}} \:+\:\mathrm{3t}^{\mathrm{3}} \\ $$ Answered by fernandodantas1996 last updated on 13/Oct/16 $$\mathrm{s}\:=\:\mathrm{t}\left(\mathrm{u}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}+\mathrm{3t}^{\mathrm{2}} \right)\:\Leftrightarrow\:\mathrm{t}\:=\:\frac{\mathrm{s}}{\mathrm{u}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{gt}\:+\:\mathrm{3t}^{\mathrm{2}} }…

solve-5-3x-2-8-4x-2-33-9x-8-

Question Number 8350 by Nayon last updated on 09/Oct/16 $${solve}: \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\frac{\mathrm{5}}{\mathrm{3}{x}+\mathrm{2}}+\frac{\mathrm{8}}{\mathrm{4}{x}+\mathrm{2}}=\frac{\mathrm{33}}{\mathrm{9}{x}+\mathrm{8}} \\ $$ Answered by Rasheed Soomro last updated on 10/Oct/16 $$\:\frac{\mathrm{5}}{\mathrm{3}{x}+\mathrm{2}}+\frac{\mathrm{8}}{\mathrm{4}{x}+\mathrm{2}}=\frac{\mathrm{33}}{\mathrm{9}{x}+\mathrm{8}}…

ABCD-is-a-rectangle-such-that-AD-2AB-and-its-center-is-O-H-is-the-top-of-a-pyramid-which-has-ABCD-as-base-All-lateral-faces-are-isosceles-triangles-planes-HAB-and-HCD-are-i-have-joined-a-g

Question Number 139419 by mathocean1 last updated on 26/Apr/21 $${ABCD}\:{is}\:{a}\:{rectangle}\:{such}\:{that}\: \\ $$$${AD}=\mathrm{2}{AB}\:{and}\:{its}\:{center}\:{is}\:{O}.\: \\ $$$${H}\:{is}\:{the}\:{top}\:{of}\:{a}\:{pyramid}\:{which} \\ $$$${has}\:{ABCD}\:{as}\:{base}.\:{All}\:{lateral} \\ $$$${faces}\:{are}\:{isosceles}\:{triangles}.\:{planes} \\ $$$$\left({HAB}\right)\:{and}\:\left({HCD}\right)\:{are}\:\bot. \\ $$$${i}\:{have}\:{joined}\:{a}\:{graphic}. \\ $$$$\mathrm{1}.\:{show}\:{that}\:\left({OH}\right)\bot\left({ABC}\right). \\…

What-are-necessary-and-sufficient-conditions-that-a-ib-n-is-cyclic-for-an-n-not-equal-to-0-

Question Number 8341 by Rasheed Soomro last updated on 09/Oct/16 $$\mathrm{What}\:\mathrm{are}\:\mathrm{necessary}\:\mathrm{and}\:\mathrm{sufficient}\:\mathrm{conditions} \\ $$$$\mathrm{that}\:\left(\mathrm{a}+\mathrm{ib}\right)^{\mathrm{n}} \:\mathrm{is}\:\mathrm{cyclic}\:\mathrm{for}\:\mathrm{an}\:\:\mathrm{n}\:\mathrm{not}\:\mathrm{equal}\:\mathrm{to}\:\mathrm{0}? \\ $$ Answered by prakash jain last updated on 09/Oct/16 $$\mid{a}+{ib}\mid=\mathrm{1}\Rightarrow\sqrt{{a}^{\mathrm{2}}…

0-pi-2-cos-2-x-cos-x-pi-4-dx-

Question Number 139414 by mathdanisur last updated on 26/Apr/21 $$\underset{\:\mathrm{0}} {\overset{\:\pi/\mathrm{2}} {\int}}\frac{{cos}^{\mathrm{2}} {x}}{{cos}\left({x}−\pi/\mathrm{4}\right)}\:{dx} \\ $$ Commented by mr W last updated on 27/Apr/21 $$\frac{\mathrm{1}}{\mathrm{2}}\left[\mathrm{ln}\:\frac{\mathrm{1}+\mathrm{sin}\:\left({x}−\frac{\pi}{\mathrm{4}}\right)}{\mathrm{1}−\mathrm{sin}\:\left({x}−\frac{\pi}{\mathrm{4}}\right)}\right]_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}}…