Question Number 138771 by qaz last updated on 18/Apr/21 $$\int_{\mathrm{0}} ^{\pi/\mathrm{2}} {ln}\:\left(\mathrm{1}−\mathrm{tan}\:^{\mathrm{2}} {x}+\mathrm{tan}\:^{\mathrm{4}} {x}\right){dx}=? \\ $$ Answered by Kamel last updated on 19/Apr/21 Answered by…
Question Number 7697 by Rohit 57 last updated on 09/Sep/16 $${Q}.\mathrm{1}\:{which}\:{term}\:{of}\:{A}.{P}:\:\mathrm{3},\:\mathrm{15},\:\mathrm{27},\:\mathrm{39}… \\ $$$$…{will}\:{be}\:\mathrm{132}\:{more}\:{than}\:{its}\:\mathrm{54}{th}\:{term}. \\ $$ Commented by prakash jain last updated on 09/Sep/16 $$\mathrm{The}\:\mathrm{given}\:\mathrm{series} \\…
Question Number 138765 by 676597498 last updated on 18/Apr/21 Commented by 676597498 last updated on 18/Apr/21 $${please}\:{help} \\ $$ Answered by physicstutes last updated on…
Question Number 73230 by mathmax by abdo last updated on 08/Nov/19 $${calculate}\:{A}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{1}+{x}^{{n}} }{\mathrm{2}+{x}^{\mathrm{2}{n}} }{dx}\:\:{and}\:{J}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\frac{\mathrm{2}+{x}^{\mathrm{3}{n}} }{\mathrm{5}+{x}^{\mathrm{7}{n}} }{dx} \\ $$$${with}\:{n}\:{integr}\:{natural}\:{not}\:\mathrm{0} \\…
Question Number 138764 by otchereabdullai@gmail.com last updated on 17/Apr/21 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{impedence}\:\mathrm{of}\:\mathrm{an}\:\mathrm{RC}\:\mathrm{circuit} \\ $$$$\mathrm{with}\:\mathrm{R}=\:\mathrm{10}\Omega\:\mathrm{and}\:\mathrm{C}=\mathrm{10}\mu\mathrm{F}\:\mathrm{at}\:\mathrm{an}\: \\ $$$$\mathrm{angular}\:\mathrm{frequency}\:\mathrm{of}\:\mathrm{21800rads}^{−\mathrm{1}} \\ $$ Answered by ajfour last updated on 18/Apr/21 $${Z}=\sqrt{{R}^{\mathrm{2}} +\frac{\mathrm{1}}{\left(\omega{C}\right)^{\mathrm{2}}…
Question Number 73231 by mathmax by abdo last updated on 08/Nov/19 $${find}\:{the}\:{sum}\:{of}\:\:\sum_{{n}=\mathrm{0}} ^{\infty} \left({n}^{\mathrm{2}} −\mathrm{3}{n}+\mathrm{1}\right){e}^{−{n}} \\ $$ Commented by mathmax by abdo last updated on…
Question Number 138767 by bramlexs22 last updated on 18/Apr/21 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left(\pi\mathrm{cos}\:^{\mathrm{2}} {x}\right)}{\mathrm{sin}\:\left(\mathrm{2}\pi\mathrm{sin}\:^{\mathrm{2}} {x}\right)}\:=? \\ $$ Answered by EDWIN88 last updated on 18/Apr/21 $$\:\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\mathrm{tan}\:\left(\pi\mathrm{cos}\:^{\mathrm{2}} \mathrm{x}\right)}{\mathrm{sin}\:\left(\mathrm{2}\pi\mathrm{sin}\:^{\mathrm{2}}…
Question Number 138766 by nadovic last updated on 18/Apr/21 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{3}{x}^{\mathrm{2}} +{x}+\mathrm{2}=\mathrm{0},\:\mathrm{find}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{whose} \\ $$$$\mathrm{roots}\:\mathrm{are}\:\:\frac{\mathrm{1}}{\alpha^{\mathrm{2}} }\:\:\mathrm{and}\:\:\frac{\mathrm{1}}{\beta^{\mathrm{2}} }\:\:\mathrm{and}\:\mathrm{show}\:\mathrm{that} \\ $$$$\mathrm{27}\alpha^{\mathrm{4}} =\mathrm{11}\alpha+\mathrm{10}. \\ $$ Commented by MJS_new…
Question Number 7692 by Rohit last updated on 09/Sep/16 $${d}\:{efine}\:{the}\:\underset{{i}=\mathrm{1}} {\overset{\mathrm{5}} {\sum}}\:{a}_{{i}} \:=\mathrm{10}\:\:\:\Sigma\:{kya}\:{hai} \\ $$ Answered by prakash jain last updated on 11/Sep/16 $$\Sigma\:\mathrm{stands}\:\mathrm{for}\:\mathrm{summation}\:\mathrm{notation}. \\…
Question Number 73227 by mathmax by abdo last updated on 08/Nov/19 $${find}\:{the}\:{polynom}\:{T}_{{n}} \:{wich}\:{verify}\:{T}_{{n}} \left({cos}\theta\right)={cos}\left({n}\theta\right) \\ $$$$\forall{n}\:{integr}\:\forall\theta\:{real} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{T}_{\mathrm{0}} ,{T}_{\mathrm{1}} {and}\:{T}_{\mathrm{2}} {and}\:{prove}\:{that}\: \\ $$$${T}_{{n}+\mathrm{2}} =\mathrm{2}{x}\:{T}_{{n}+\mathrm{1}} −{T}_{{n}}…