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Author: Tinku Tara

y-log-2-x-5-4-find-dy-dx-

Question Number 137667 by aurpeyz last updated on 05/Apr/21 $${y}={log}_{\mathrm{2}} \left({x}^{\mathrm{5}} +\mathrm{4}\right)\:{find}\:\frac{{dy}}{{dx}} \\ $$ Answered by Dwaipayan Shikari last updated on 05/Apr/21 $${y}=\frac{{log}\left({x}^{\mathrm{5}} +\mathrm{4}\right)}{{log}\left(\mathrm{2}\right)}\Rightarrow\frac{{dy}}{{dx}}=\frac{\mathrm{1}}{{log}\left(\mathrm{2}\right)}.\frac{\mathrm{5}{x}^{\mathrm{4}} }{{x}^{\mathrm{5}}…

Question-6593

Question Number 6593 by Tawakalitu. last updated on 04/Jul/16 Commented by Yozzii last updated on 05/Jul/16 $${Given}\:{that}\:{p}\:{is}\:{prime}\:{and}\:{p}\leqslant\mathrm{100}, \\ $$$${show}\:{that}\:{there}\:{are}\:{solutions}\:\left({x},{y}\right),\: \\ $$$${x},{y}\in\mathbb{Z},\:{for}\:{which}\:{y}^{\mathrm{37}} \equiv{x}^{\mathrm{3}} +\mathrm{37}\:\left({mod}\:{p}\right). \\ $$$$−−−−−−−−−−−−−−−−−−−−−−−…

An-aqeous-solution-of-tetraoxosulphate-IV-has-a-density-of-1-80-g-cm-3-and-98-purity-level-what-volume-of-this-solution-must-be-diluted-to-give-250-cm-3-of-0-500-mol-dm-3-H-2-SO-4-solution-

Question Number 6583 by Tawakalitu. last updated on 04/Jul/16 $${An}\:{aqeous}\:{solution}\:{of}\:{tetraoxosulphate}\left({IV}\right)\:{has}\:{a}\:{density}\: \\ $$$${of}\:\mathrm{1}.\mathrm{80}\:{g}/{cm}^{\mathrm{3}} \:{and}\:\mathrm{98\%}\:{purity}\:{level}.\:{what}\:{volume}\:{of}\:{this}\: \\ $$$${solution}\:{must}\:{be}\:{diluted}\:{to}\:{give}\:\mathrm{250}\:{cm}^{\mathrm{3}} \:{of}\:\mathrm{0}.\mathrm{500}\:{mol}/{dm}^{\mathrm{3}} \\ $$$${H}_{\mathrm{2}} {SO}_{\mathrm{4}} \:{solution}\:? \\ $$$$ \\ $$ Answered…