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Question-94768

Question Number 94768 by Hamida last updated on 20/May/20 Answered by mathmax by abdo last updated on 21/May/20 $$\mathrm{y}\left(\mathrm{x}\right)\:=\frac{\mathrm{x}^{\mathrm{4}} \:+\mathrm{6x}^{\mathrm{2}} \:+\mathrm{4}}{\mathrm{x}^{\mathrm{2}} \:+\mathrm{5}}\:\Rightarrow\frac{\mathrm{dy}}{\mathrm{dx}}\:=\frac{\left(\mathrm{4x}^{\mathrm{3}} \:+\mathrm{12x}\right)\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{5}\right)−\mathrm{2x}\left(\mathrm{x}^{\mathrm{4}} \:+\mathrm{6x}^{\mathrm{2}}…

Question-94767

Question Number 94767 by Hamida last updated on 20/May/20 Answered by mathmax by abdo last updated on 21/May/20 $$\mathrm{y}\left(\mathrm{x}\right)\:=\mathrm{5}^{−\mathrm{x}} \:+\mathrm{5}\:\mathrm{arcsin}\left(\frac{\mathrm{x}}{\mathrm{6}}\right)\:+\mathrm{ln}\left(\mathrm{x}^{\mathrm{2}} \:+\mathrm{4}\right)+\mathrm{e}^{\frac{−\mathrm{7}}{\mathrm{2}}\mathrm{x}} \:+\mathrm{3}^{−\mathrm{x}} \mathrm{ln5} \\ $$$$\Rightarrow\mathrm{y}\left(\mathrm{x}\right)\:=\mathrm{u}\left(\mathrm{x}\right)+\mathrm{v}\left(\mathrm{x}\right)\:\mathrm{with}\:\mathrm{u}\left(\mathrm{x}\right)\:=\mathrm{5}^{−\mathrm{x}}…

Question-94753

Question Number 94753 by Kunal12588 last updated on 20/May/20 Answered by mr W last updated on 20/May/20 $$\left({a}\right)\:{on}\:{clock}\:{B}: \\ $$$$\mathrm{25}\rightarrow\mathrm{125}:\:\frac{\mathrm{125}−\mathrm{25}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{363}\frac{\mathrm{7}}{\mathrm{11}}\:{s} \\ $$$$\mathrm{125}\rightarrow\mathrm{200}:\:\frac{\mathrm{200}−\mathrm{125}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{272}\frac{\mathrm{8}}{\mathrm{11}}\:{s} \\ $$$$\mathrm{200}\rightarrow\mathrm{290}:\:\frac{\mathrm{290}−\mathrm{209}}{\mathrm{290}−\mathrm{125}}×\mathrm{600}=\mathrm{327}\frac{\mathrm{3}}{\mathrm{11}}\:{s} \\…

In-each-square-of-a-5-5-board-there-is-a-lamp-turned-off-If-we-touch-a-lamp-then-that-lamp-and-the-ones-in-neighbouring-squares-the-squares-which-share-a-side-change-their-states-After-a-certain-

Question Number 160269 by Unnamed last updated on 27/Nov/21 $${In}\:{each}\:{square}\:{of}\:{a}\:\mathrm{5}×\mathrm{5}\:{board}\:{there} \\ $$$${is}\:{a}\:{lamp}\:{turned}\:{off}.{If}\:{we}\:{touch}\:\:{a}\: \\ $$$${lamp}\:{then}\:{that}\:{lamp}\:{and}\:{the}\:{ones}\:{in}\: \\ $$$${neighbouring}\:{squares}\left({the}\:{squares}\:\right. \\ $$$$\left.{which}\:{share}\:{a}\:{side}\right){change}\:{their} \\ $$$$\:{states}.{After}\:{a}\:{certain}\:{number}\:{of}\: \\ $$$${moves},{Is}\:{it}\:{possible}\:{to}\:{turn}\:{on}\:{all}\: \\ $$$${lamps}?{Give}\:{Reason}? \\…

Question-94708

Question Number 94708 by abony1303 last updated on 20/May/20 Commented by abony1303 last updated on 20/May/20 $${I}'{m}\:{so}\:{tired}\:{seeing}\:{these}\:{type}\:{of}\:{problems} \\ $$$${in}\:{my}\:{exam}.\:{Can}\:{smn}\:{explain}\:{these}\:{kind} \\ $$$${of}\:{questions}\:{in}\:{easy}\:{way}?\:{Or}\:{suggest}\:{me} \\ $$$${the}\:{book}\:{to}\:{get}\:{information}.\:{pls}. \\ $$…

Question-94710

Question Number 94710 by abony1303 last updated on 20/May/20 Commented by PRITHWISH SEN 2 last updated on 20/May/20 $$\mathrm{2019}^{\mathrm{th}} \mathrm{term}\:\mathrm{will}\:\mathrm{be}\:\mathrm{89} \\ $$$$\mathrm{then}\:\mathrm{tbe}\:\mathrm{remainder}\:\mathrm{is}\:\mathrm{9} \\ $$$$\boldsymbol{\mathrm{ans}}-\left(\mathrm{5}\right) \\…