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If-P-a-b-c-d-c-d-a-b-Q-a-b-c-d-b-a-d-c-are-permutations-of-the-elements-a-b-c-d-then-QP-

Question Number 80340 by Rio Michael last updated on 02/Feb/20 $$\mathrm{If}\:{P}\:=\:\begin{pmatrix}{{a}}&{{b}}&{{c}}&{{d}}\\{{c}}&{{d}}&{{a}}&{{b}}\end{pmatrix}\:\:,\:{Q}\:=\:\begin{pmatrix}{{a}}&{{b}}&{{c}}&{{d}}\\{{b}}&{{a}}&{{d}}&{{c}}\end{pmatrix}\:\mathrm{are} \\ $$$$\mathrm{permutations}\:\mathrm{of}\:\mathrm{the}\:\mathrm{elements}\:\left({a},{b},{c},{d}\right),\:\mathrm{then}\: \\ $$$${QP}\:\equiv \\ $$$$\: \\ $$ Answered by MJS last updated on…

A-particle-moves-round-the-polar-curve-r-a-1-cos-with-constant-angular-velocity-Find-the-transverse-component-of-the-velocity-

Question Number 80341 by Rio Michael last updated on 02/Feb/20 $$\mathrm{A}\:\mathrm{particle}\:\mathrm{moves}\:\mathrm{round}\:\mathrm{the}\:\mathrm{polar}\:\mathrm{curve} \\ $$$${r}\:=\:{a}\left(\mathrm{1}\:+\:\mathrm{cos}\:\theta\right)\:\mathrm{with}\:\mathrm{constant}\:\mathrm{angular}\: \\ $$$$\mathrm{velocity}\:\omega\:.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{transverse}\:\mathrm{component} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{velocity}. \\ $$ Answered by mr W last updated…

Where-is-123456-S-He-was-most-senior-of-us-and-had-a-great-knoledge-of-maths-S-He-used-to-guide-us-when-we-were-wrong-

Question Number 14759 by RasheedSoomro last updated on 04/Jun/17 $$\:\:\:\:\:\:\:\:\mathrm{Where}\:\mathrm{is} \\ $$$$\:\:\:\:\:\:\:\:\mathrm{123456} \\ $$$$\:\:\:\:\:\:\:\:\:? \\ $$$$\mathrm{S}/\mathrm{He}\:\mathrm{was}\:\mathrm{most}\:\mathrm{senior}\:\mathrm{of}\:\mathrm{us}\: \\ $$$$\mathrm{and} \\ $$$$\mathrm{had}\:\mathrm{a}\:\mathrm{great}\:\mathrm{knoledge}\:\mathrm{of}\:\mathrm{maths}! \\ $$$$\mathrm{S}/\mathrm{He}\:\mathrm{used}\:\mathrm{to}\:\mathrm{guide}\:\mathrm{us}\:\mathrm{when} \\ $$$$\mathrm{we}\:\mathrm{were}\:\mathrm{wrong}. \\…

Find-all-functions-that-satisfy-to-E-x-R-xf-x-0-x-f-x-t-cos-2t-dt-sin-2x-

Question Number 80293 by ~blr237~ last updated on 01/Feb/20 $${Find}\:{all}\:{functions}\:{that}\:\:{satisfy}\:{to}\:\: \\ $$$$\left({E}\right):\:\forall\:{x}\in\mathbb{R}\:\:\:\:\:\:{xf}\left({x}\right)+\int_{\mathrm{0}} ^{{x}} {f}\left({x}−{t}\right){cos}\left(\mathrm{2}{t}\right){dt}={sin}\left(\mathrm{2}{x}\right) \\ $$$$\: \\ $$ Commented by john santu last updated on…

Calculate-the-PH-of-0-05-mol-dm-3-phosporic-acid-

Question Number 14708 by tawa tawa last updated on 03/Jun/17 $$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{PH}\:\mathrm{of}\:\:\mathrm{0}.\mathrm{05}\:\mathrm{mol}/\mathrm{dm}^{\mathrm{3}} \:\mathrm{phosporic}\:\mathrm{acid} \\ $$ Answered by Tinkutara last updated on 04/Jun/17 $$\left[\mathrm{H}_{\mathrm{3}} \mathrm{PO}_{\mathrm{4}} \right]\:=\:\mathrm{0}.\mathrm{05}\:\mathrm{mol}/\mathrm{L} \\…

Question-14692

Question Number 14692 by tawa tawa last updated on 03/Jun/17 Answered by Tinkutara last updated on 03/Jun/17 $${x}\:=\:\mathrm{6}{t}^{\mathrm{3}} \:−\:\mathrm{8}{t}^{\mathrm{2}} \:−\:\mathrm{15}{t}\:+\:\mathrm{40} \\ $$$${v}\:=\:\mathrm{18}{t}^{\mathrm{2}} \:−\:\mathrm{16}{t}\:−\:\mathrm{15} \\ $$$$\left({a}\right)\:\mathrm{18}{t}^{\mathrm{2}}…

Question-14682

Question Number 14682 by tawa tawa last updated on 03/Jun/17 Answered by Tinkutara last updated on 03/Jun/17 $$\mathrm{K}.\mathrm{E}.\:=\:{hc}\left(\frac{\mathrm{1}}{\lambda}\:−\:\frac{\mathrm{1}}{\lambda_{\mathrm{0}} }\right) \\ $$$$=\:\mathrm{6}.\mathrm{626}×\mathrm{10}^{−\mathrm{34}} ×\mathrm{3}×\mathrm{10}^{\mathrm{17}} \left(\frac{\mathrm{1}}{\mathrm{436}}\:−\:\frac{\mathrm{1}}{\mathrm{650}}\right) \\ $$$$\approx\:\mathrm{1}.\mathrm{501}\:×\:\mathrm{10}^{−\mathrm{19}}…

A-stone-of-mass-100g-is-tied-to-the-end-of-a-string-of-50-cm-long-The-stone-is-whirled-as-a-conical-pendulum-so-that-it-rotates-in-horizontal-circle-radius-30-cm-Determine-the-angular-speed-and-the

Question Number 14677 by tawa tawa last updated on 03/Jun/17 $$\mathrm{A}\:\mathrm{stone}\:\mathrm{of}\:\mathrm{mass}\:\mathrm{100g}\:\mathrm{is}\:\mathrm{tied}\:\mathrm{to}\:\mathrm{the}\:\mathrm{end}\:\mathrm{of}\:\mathrm{a}\:\mathrm{string}\:\mathrm{of}\:\mathrm{50}\:\mathrm{cm}\:\mathrm{long}\:.\:\mathrm{The}\:\mathrm{stone}\:\mathrm{is} \\ $$$$\mathrm{whirled}\:\mathrm{as}\:\mathrm{a}\:\mathrm{conical}\:\mathrm{pendulum}\:\mathrm{so}\:\mathrm{that}\:\mathrm{it}\:\mathrm{rotates}\:\mathrm{in}\:\mathrm{horizontal}\:\mathrm{circle}\:\mathrm{radius} \\ $$$$\mathrm{30}\:\mathrm{cm}.\:\mathrm{Determine}\:\mathrm{the}\:\mathrm{angular}\:\mathrm{speed}\:\mathrm{and}\:\mathrm{the}\:\mathrm{tension}\:\mathrm{in}\:\mathrm{the}\:\mathrm{string}. \\ $$ Answered by ajfour last updated on 03/Jun/17 $$\:\:{height}\:{of}\:{cone}\:{generated}…