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Author: Tinku Tara

Question-83372

Question Number 83372 by Power last updated on 01/Mar/20 Commented by mr W last updated on 01/Mar/20 $${goh}\left({x}\right)={x}−\mathrm{2} \\ $$$$\frac{\mathrm{5}{h}\left({x}\right)}{{h}\left({x}\right)+\mathrm{1}}={x}−\mathrm{2} \\ $$$$\Rightarrow{h}\left({x}\right)=\frac{{x}−\mathrm{2}}{\mathrm{7}−{x}} \\ $$$${hof}\left({x}\right)=\frac{\left(\mathrm{2}{x}−\mathrm{1}\right)−\mathrm{2}}{\mathrm{7}−\left(\mathrm{2}{x}−\mathrm{1}\right)}=\frac{\mathrm{2}{x}−\mathrm{3}}{\mathrm{8}−\mathrm{2}{x}} \\…

Question-83373

Question Number 83373 by Power last updated on 01/Mar/20 Commented by jagoll last updated on 02/Mar/20 $$\left(\mathrm{ax}+\mathrm{by}\right)\left(\mathrm{x}+\mathrm{y}\right)\:=\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right) \\ $$$$\mathrm{ax}^{\mathrm{2}} +\mathrm{by}^{\mathrm{2}} +\mathrm{axy}+\mathrm{bxy}=\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right) \\ $$$$\mathrm{10}\:+\:\mathrm{xy}\:\left(\mathrm{a}+\mathrm{b}\right)=\:\mathrm{5}\left(\mathrm{x}+\mathrm{y}\right)\:\left(\mathrm{i}\right) \\ $$$$\left(\mathrm{ax}^{\mathrm{2}}…

Question-148905

Question Number 148905 by DELETED last updated on 01/Aug/21 Answered by DELETED last updated on 01/Aug/21 $$\mathrm{Answered}: \\ $$$$−\underset{\mathrm{2}} {\overset{\mathrm{4}} {\int}}\left(\mathrm{x}^{\mathrm{2}} −\mathrm{5x}\:\right)\mathrm{dx}=−\:\left[\frac{\mathrm{1}}{\mathrm{3}}\mathrm{x}^{\mathrm{3}} −\frac{\mathrm{5}}{\mathrm{2}}\mathrm{x}^{\mathrm{2}} \right]\underset{\mathrm{2}} {\overset{\mathrm{4}}…

A-rocket-is-moving-in-a-gravity-free-space-with-a-constant-acceleration-of-2-m-s-2-along-x-direction-see-figure-The-length-of-a-chamber-inside-the-rocket-is-4-m-A-ball-is-thrown-from-the-left-e

Question Number 17835 by Tinkutara last updated on 11/Jul/17 $$\mathrm{A}\:\mathrm{rocket}\:\mathrm{is}\:\mathrm{moving}\:\mathrm{in}\:\mathrm{a}\:\mathrm{gravity}\:\mathrm{free} \\ $$$$\mathrm{space}\:\mathrm{with}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{acceleration}\:\mathrm{of} \\ $$$$\mathrm{2}\:\mathrm{m}/\mathrm{s}^{\mathrm{2}} \:\mathrm{along}\:+\:\mathrm{x}\:\mathrm{direction}\:\left(\mathrm{see}\:\mathrm{figure}\right). \\ $$$$\mathrm{The}\:\mathrm{length}\:\mathrm{of}\:\mathrm{a}\:\mathrm{chamber}\:\mathrm{inside}\:\mathrm{the} \\ $$$$\mathrm{rocket}\:\mathrm{is}\:\mathrm{4}\:\mathrm{m}.\:\mathrm{A}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{thrown}\:\mathrm{from}\:\mathrm{the} \\ $$$$\mathrm{left}\:\mathrm{end}\:\mathrm{of}\:\mathrm{the}\:\mathrm{chamber}\:\mathrm{in}\:+{x}\:\mathrm{direction} \\ $$$$\mathrm{with}\:\mathrm{a}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{0}.\mathrm{3}\:\mathrm{m}/\mathrm{s}\:\mathrm{relative}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{rocket}.\:\mathrm{At}\:\mathrm{the}\:\mathrm{same}\:\mathrm{time},\:\mathrm{another}\:\mathrm{ball}…