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Author: Tinku Tara

Question-206934

Question Number 206934 by universe last updated on 01/May/24 Commented by Frix last updated on 01/May/24 $$\mathrm{I}'\mathrm{m}\:\mathrm{not}\:\mathrm{sure},\:\mathrm{it}\:\mathrm{might}\:\mathrm{be}\:\:\sqrt[{\mathrm{e}}]{\mathrm{e}} \\ $$ Commented by universe last updated on…

0-1-1-x-1-1-x-1-1-x-dx-

Question Number 206962 by Ghisom last updated on 01/May/24 $$\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\sqrt{\mathrm{1}−{x}}}{\:\sqrt{\mathrm{1}−\sqrt{\mathrm{1}−{x}}}+\sqrt{\mathrm{1}+\sqrt{\mathrm{1}−{x}}}}{dx}=? \\ $$ Answered by lepuissantcedricjunior last updated on 02/May/24 $$\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\sqrt{\mathrm{1}−\boldsymbol{{x}}}}{\:\sqrt{\mathrm{1}−\sqrt{\mathrm{1}−\boldsymbol{{x}}}}+\sqrt{\mathrm{1}+\sqrt{\mathrm{1}−\boldsymbol{{x}}}}}\boldsymbol{{dx}}=\boldsymbol{{k}} \\…

Question-206919

Question Number 206919 by BaliramKumar last updated on 30/Apr/24 Answered by A5T last updated on 30/Apr/24 $${MA}=\mathrm{2}{x};\:{MC}=\mathrm{3}{x}\Rightarrow{AC}=\mathrm{5}{x} \\ $$$$\Rightarrow{AB}+{BC}=\mathrm{4}+\mathrm{3}{x}+\mathrm{2}{x}=\mathrm{5}{x}+\mathrm{4} \\ $$$$\left(\mathrm{2}+\mathrm{3}{x}\right)^{\mathrm{2}} +\left(\mathrm{2}+\mathrm{2}{x}\right)^{\mathrm{2}} =\mathrm{25}{x}^{\mathrm{2}} \\ $$$$\Rightarrow\mathrm{3}{x}^{\mathrm{2}}…

Question-206912

Question Number 206912 by BaliramKumar last updated on 30/Apr/24 Answered by A5T last updated on 30/Apr/24 $${cos}^{\mathrm{2}} \theta+\mathrm{3}\left(\mathrm{1}−{cos}^{\mathrm{2}} \theta\right)+\mathrm{2}=\mathrm{5}−\mathrm{2}{cos}^{\mathrm{2}} \theta \\ $$$$\Rightarrow{Max}=\mathrm{5}−\mathrm{0};\:{Min}=\mathrm{5}−\mathrm{2}\Rightarrow{Difference}=\mathrm{2} \\ $$ Answered…

If-tan-2x-x-1-2x-1-then-find-sin-and-cos-

Question Number 206899 by MATHEMATICSAM last updated on 29/Apr/24 $$\mathrm{If}\:\mathrm{tan}\theta\:=\:\frac{\mathrm{2}{x}\left({x}\:+\:\mathrm{1}\right)}{\mathrm{2}{x}\:+\:\mathrm{1}}\:\mathrm{then}\:\mathrm{find}\:\mathrm{sin}\theta\:\mathrm{and} \\ $$$$\mathrm{cos}\theta. \\ $$ Answered by mathzup last updated on 29/Apr/24 $$\mathrm{1}+{tan}^{\mathrm{2}} \theta\:=\frac{\mathrm{1}}{{cos}^{\mathrm{2}} \theta}\:\Rightarrow{cos}^{\mathrm{2}} \theta\:=\frac{\mathrm{1}}{\mathrm{1}+{tan}^{\mathrm{2}}…

can-some-one-find-the-exact-value-of-n-0-1-n-2-

Question Number 206890 by mathzup last updated on 29/Apr/24 $${can}\:{some}\:{one}\:{find}\:{the}\:{exact}\:{value}\:{of} \\ $$$$\sum_{{n}=\mathrm{0}} ^{\infty} \:\frac{\mathrm{1}}{\left({n}!\right)^{\mathrm{2}} } \\ $$ Commented by Frix last updated on 30/Apr/24 $$\mathrm{This}\:\mathrm{is}\:\mathrm{a}\:\mathrm{Modified}\:\mathrm{Bressel}\:\mathrm{Function}\:\mathrm{of}\:\mathrm{the}…