Category: Differentiation

Question Number 209041 by alcohol last updated on 30/Jun/24 Commented by alcohol last updated on 30/Jun/24 $$findr$$ Commented by mr W last updated…

Question Number 208908 by alcohol last updated on 26/Jun/24 $$I(a,b)={\int }_0^1{t}^a{(1-t)}^{b}dt$$$$Note:I(a,b)=\frac{a}{b+1}I(a-1,b+1)$$$$showthat$$$$\bullet I(a+1,b)+I(a,b+1)=I(a,b)$$$$\bullet findB(a+1,b+1)intermsofB(a,b)$$$$\bullet\:{use}\:{I}\left({a},{b}\right)\:=\:{I}\left({b},{a}\right)\:{and}\:{deduce}\:{I}\left(\frac{\mathrm{5}}{\mathrm{2}},\frac{\mathrm{3}}{\mathrm{2}}\right) \…

Question Number 208553 by efronzo1 last updated on 18/Jun/24 $$\cancel{}$$ Answered by mr W last updated on 18/Jun/24 $$duetosymmetry$$$${y}={x}\:\Rightarrow\mathrm{3}{x}^{\mathrm{2}} =\mathrm{1}\:\Rightarrow{x}=\pm\frac{\sqrt{\mathrm{3}}}{\mathrm{3}}…

Question Number 207954 by solihin last updated on 01/Jun/24 $$\underset{―}{\mathit{x}}$$ Commented by MathematicalUser2357 last updated on 02/Jun/24 $$Isee\underset{―}{\mathit{x}}intinkutara$$ Answered by AliJumaa…

Question Number 207122 by MATHEMATICSAM last updated on 07/May/24 $$\mathrm{If}{e}^y(x+1)=1\mathrm{then}\mathrm{prove}\mathrm{that}$$$$\frac{d^{2}y}{{dx}^2}={\left(\frac{dy}{dx}\right)}^2.$$ Answered by BaliramKumar last updated on 07/May/24…