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Author: Tinku Tara

Question-214793

Question Number 214793 by vijaysahu last updated on 19/Dec/24 Commented by Tinku Tara last updated on 20/Dec/24 $${Q}\mathrm{2}\:{put}\:{u}=\frac{\pi}{\mathrm{2}}−{x}\:{to}\:{get} \\ $$$${I}=\int_{\mathrm{0}} ^{\pi/\mathrm{4}} \frac{{cos}^{\mathrm{4}} {x}}{{sin}^{\mathrm{4}} {x}+{cos}^{\mathrm{4}} {x}}{dx}…

Question-214757

Question Number 214757 by Tawa11 last updated on 19/Dec/24 Commented by ajfour last updated on 23/Dec/24 Hi, can you follow this question I have discussed. Really nice question, i created. https://youtu.be/PzKYmi7qrvk?si=TkeicIBzJ2aCaNZr Commented by Tawa11 last updated on 23/Dec/24 $$\mathrm{Followed}\:\mathrm{sir}…

If-x-cy-bz-y-cx-az-and-z-bx-ay-then-prove-that-x-1-a-2-y-1-b-2-z-1-c-2-

Question Number 214759 by MATHEMATICSAM last updated on 19/Dec/24 $$\mathrm{If}\:{x}\:=\:{cy}\:+\:{bz},\:{y}\:=\:{cx}\:+\:{az}\:\mathrm{and} \\ $$$${z}\:=\:{bx}\:+\:{ay}\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that} \\ $$$$\frac{{x}}{\:\sqrt{\mathrm{1}\:−\:{a}^{\mathrm{2}} }}\:=\:\frac{{y}}{\:\sqrt{\mathrm{1}\:−\:{b}^{\mathrm{2}} }}\:=\:\frac{{z}}{\:\sqrt{\mathrm{1}\:−\:{c}^{\mathrm{2}} }}\:. \\ $$ Answered by MathematicalUser2357 last updated on…

x-3-4-7-4-x-

Question Number 214785 by mathlove last updated on 19/Dec/24 $$\left({x}−\mathrm{3}\right)^{\mathrm{4}} =\mathrm{7}^{\mathrm{4}} \\ $$$${x}=? \\ $$ Answered by Ismoiljon_008 last updated on 19/Dec/24 $$\:\:\:\mid\:{x}\:−\:\mathrm{3}\:\mid\:=\:\mathrm{7} \\ $$$$\:\:\:{x}\:−\:\mathrm{3}\:=\:\mathrm{7}…

Question-214719

Question Number 214719 by RoseAli last updated on 18/Dec/24 Answered by som(math1967) last updated on 18/Dec/24 $$\:{let}\:{x}−\mathrm{1}={a} \\ $$$$\:{x}\rightarrow\mathrm{1}\Rightarrow\left({x}−\mathrm{1}\right)\rightarrow\mathrm{0}\Rightarrow{a}\rightarrow\mathrm{0} \\ $$$$\:\underset{{a}\rightarrow\mathrm{0}} {{lim}}\frac{{sina}}{{a}}\:=\mathrm{1} \\ $$ Answered…