Question Number 188700 by sciencestudentW last updated on 05/Mar/23 $${is}\:{it}\:{a}\:{polynomial}\:{f}\left({x}\right)=\mathrm{2}{sinx}+\mathrm{10}? \\ $$ Commented by mr W last updated on 05/Mar/23 $${read}\:{the}\:{definition}\:{of}\:\boldsymbol{{polynomial}}, \\ $$$${then}\:{you}\:{should}\:{know}\:{the}\:{answer}. \\ $$…
Question Number 123163 by aurpeyz last updated on 23/Nov/20 $${the}\:{curve}\:{y}={x}^{\mathrm{2}} +\mathrm{4}\:{is}\:{rotated}\:{one}\: \\ $$$${revolution}\:{about}\:{the}\:{x}−{axis}\:{between} \\ $$$${the}\:{limits}\:{x}=\mathrm{1}\:{and}\:{x}=\mathrm{4}.\:{determine} \\ $$$${the}\:{volume}\:{of}\:{the}\:{revolution}\:{produced} \\ $$ Answered by ajfour last updated on…
Question Number 57621 by Gulay last updated on 08/Apr/19 Commented by Gulay last updated on 08/Apr/19 $$\mathrm{sir}\:\mathrm{help}\:\mathrm{me}\:\mathrm{plz} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…
Question Number 123155 by Algoritm last updated on 23/Nov/20 Answered by Dwaipayan Shikari last updated on 23/Nov/20 $${f}\left({x}\right)\left(\mathrm{1}+\mathrm{2}{x}+\mathrm{3}{x}^{\mathrm{2}} +\mathrm{4}{x}^{\mathrm{3}} +…\right)=\mathrm{1} \\ $$$${f}'\left({x}\right)\left(\mathrm{1}+\mathrm{2}{x}+\mathrm{3}{x}^{\mathrm{2}} +..\right)+{f}\left({x}\right)\left(\mathrm{1}+\mathrm{2}+\mathrm{6}{x}+..\right)=\mathrm{0} \\ $$$${f}'\left(\mathrm{0}\right)+\mathrm{3}{f}\left(\mathrm{0}\right)=\mathrm{0}…
Question Number 123147 by aurpeyz last updated on 23/Nov/20 $${from}\:{first}\:{principle}\:{obtain}\:{the}\: \\ $$$${diffrential}\:{coefficient}\:{of}\:{cos}\left({x}\right) \\ $$ Answered by TANMAY PANACEA last updated on 23/Nov/20 $$\frac{{dy}}{{dx}}=\:\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{f}\left({x}+{h}\right)−{f}\left({x}\right)}{{h}}=\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{cos}\left({x}+{h}\right)−{cosx}}{{h}}…
Question Number 57612 by Gulay last updated on 08/Apr/19 Commented by Gulay last updated on 08/Apr/19 $$\mathrm{sir}\:\mathrm{could}\:\mathrm{you}\:\mathrm{help}\:\mathrm{me}\:\mathrm{plz} \\ $$ Answered by $@ty@m last updated on…
Question Number 123144 by aurpeyz last updated on 23/Nov/20 $$\int\frac{{x}−\mathrm{1}}{\:\sqrt{\mathrm{6}{x}−\mathrm{5}−{x}^{\mathrm{2}} }}{dx} \\ $$ Answered by benjo_mathlover last updated on 23/Nov/20 $$\mathrm{6}{x}−\mathrm{5}−{x}^{\mathrm{2}} \:=\:−\mathrm{5}−\left({x}^{\mathrm{2}} −\mathrm{6}{x}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:−\mathrm{5}−\left({x}^{\mathrm{2}}…
Question Number 57607 by Gulay last updated on 08/Apr/19 Commented by Gulay last updated on 08/Apr/19 $$\mathrm{sir}\:\mathrm{plz}\:\mathrm{help}\:\mathrm{me} \\ $$ Commented by MJS last updated on…
Question Number 123145 by aurpeyz last updated on 23/Nov/20 $$\int\frac{{x}^{\mathrm{3}} }{\left(\mathrm{3}{x}^{\mathrm{4}} −\mathrm{6}\right)^{\mathrm{6}} }{dx} \\ $$ Commented by benjo_mathlover last updated on 23/Nov/20 $$\delta\left({x}\right)=\frac{\mathrm{1}}{\mathrm{12}}\int\:\frac{{d}\left(\mathrm{3}{x}^{\mathrm{4}} −\mathrm{6}\right)}{\left(\mathrm{3}{x}^{\mathrm{4}} −\mathrm{6}\right)^{\mathrm{6}}…
Question Number 123143 by aurpeyz last updated on 23/Nov/20 $${write}\:{ax}^{\mathrm{2}} +{bx}+{c}\:{as}\:{a}\:{sum}\:{or}\:{difference}\: \\ $$$${of}\:{two}\:{squares} \\ $$ Commented by mr W last updated on 23/Nov/20 $$=\left(\sqrt{{a}}{x}\right)^{\mathrm{2}} +\mathrm{2}\left(\frac{{b}}{\:\mathrm{2}\sqrt{{a}}}×\sqrt{{a}}\right){x}+\left(\frac{{b}}{\mathrm{2}\sqrt{{a}}}\right)^{\mathrm{2}}…