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Author: Tinku Tara

The-period-of-a-simple-pendulum-A-is-6-secs-Find-the-period-of-a-simple-pendulum-B-if-A-makes-30-oscillation-in-the-time-it-takes-B-to-make-70-oscillation-

Question Number 23823 by tawa tawa last updated on 06/Nov/17 $$\mathrm{The}\:\mathrm{period}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{pendulum}\:\mathrm{A}\:\mathrm{is}\:\mathrm{6}\:\mathrm{secs}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{period}\:\mathrm{of}\:\mathrm{a}\:\mathrm{simple} \\ $$$$\mathrm{pendulum}\:\mathrm{B},\:\mathrm{if}\:\mathrm{A}\:\mathrm{makes}\:\mathrm{30}\:\mathrm{oscillation}\:\mathrm{in}\:\mathrm{the}\:\mathrm{time}\:\mathrm{it}\:\mathrm{takes}\:\mathrm{B}\:\mathrm{to}\:\mathrm{make}\:\mathrm{70} \\ $$$$\mathrm{oscillation}. \\ $$ Answered by mrW1 last updated on 07/Nov/17 $$\mathrm{30}{T}_{{A}}…

Find-cos-3pi-7-cos-3pi-7-2-2cos-3pi-7-

Question Number 154892 by mathdanisur last updated on 22/Sep/21 $$\mathrm{Find}: \\ $$$$\mathrm{cos}\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)\:+\:\mathrm{cos}\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)\:\sqrt{\mathrm{2}\:-\:\mathrm{2cos}\left(\frac{\mathrm{3}\pi}{\mathrm{7}}\right)}\:=\:? \\ $$ Commented by MJS_new last updated on 23/Sep/21 $$\frac{\mathrm{1}}{\mathrm{2}} \\ $$ Commented…

Question-154880

Question Number 154880 by saly last updated on 22/Sep/21 Answered by Ar Brandon last updated on 22/Sep/21 $${I}_{\mathrm{1}} =\int\frac{\sqrt{{x}^{\mathrm{2}} +\mathrm{9}}}{{x}^{\mathrm{3}} }{dx},\:{x}=\mathrm{3sh}\vartheta \\ $$$$\:\:\:\:=\frac{\mathrm{1}}{\mathrm{3}}\int\frac{\mathrm{ch}^{\mathrm{2}} \vartheta}{\mathrm{sh}^{\mathrm{3}} \vartheta}{d}\vartheta=\frac{\mathrm{1}}{\mathrm{3}}\int\mathrm{cth}^{\mathrm{2}}…

2x-1-2-8-2xy-4-4y-8xy-1-1-

Question Number 89344 by jagoll last updated on 17/Apr/20 $$\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{2}} +\mathrm{8}\sqrt{\mathrm{2}{xy}}\:=\:\mathrm{4} \\ $$$$\mathrm{4}{y}−\sqrt{\mathrm{8}{xy}−\mathrm{1}}\:=\:\mathrm{1} \\ $$ Commented by john santu last updated on 17/Apr/20 $$\mathrm{8}{xy}−\mathrm{1}\:=\:\mathrm{16}{y}^{\mathrm{2}} −\mathrm{8}{y}+\mathrm{1}…

Integrate-1-8-x-x-2-3-x-dx-

Question Number 154876 by Mr.D.N. last updated on 22/Sep/21 $$\:\:\boldsymbol{\mathrm{Integrate}}: \\ $$$$\:\:\:\int_{\mathrm{1}} ^{\:\mathrm{8}} \:\:\frac{\:\sqrt{\boldsymbol{\mathrm{x}}}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }{\overset{\mathrm{3}} {\:}\sqrt{\boldsymbol{\mathrm{x}}}}\:\boldsymbol{\mathrm{dx}} \\ $$ Answered by MJS_new last updated on 22/Sep/21…