Category: Differentiation

Question Number 130198 by mnjuly1970 last updated on 23/Jan/21 $$\dots .nicecalculus\dots$$$$calculate::$$$$\mathcal{L}[e^{-t}.\sqrt{t}]\underset{transform}{\stackrel{Laplace}{=}}?\dots$$$$$$ Answered by Dwaipayan Shikari…

Question Number 64574 by ajfour last updated on 19/Jul/19 Commented by ajfour last updated on 19/Jul/19 $$Findpolynomialfunctionp\left(x\right)$$$$ifcolouredareaisamaximum.$$ Commented by mr W…

Question Number 130077 by benjo_mathlover last updated on 22/Jan/21 $$\mathrm{If}{x}^2+y^2=4,\mathrm{find}\mathrm{minimum}\mathrm{and}\mathrm{maximum}$$$$\mathrm{value}\mathrm{of}\frac{\mathrm{x}}{\mathrm{y}+3}.$$ Answered by liberty last updated on 22/Jan/21 Answered by…

Question Number 129988 by mnjuly1970 last updated on 21/Jan/21 $$\dots nicecalculus\dots$$$$evaluate:$$$$\varphi ={\int }_0^1\frac{dx}{{(x-x^3)}^{\frac{1}{2}}}=?$$$$$$ Answered by Dwaipayan…

Question Number 64287 by aliesam last updated on 16/Jul/19 Commented by mathmax by abdo last updated on 16/Jul/19 $${R}^{'} \left({t}\right)\:=\frac{\mathrm{15}.\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \left(\mathrm{1}+\mathrm{1},\mathrm{5}{e}^{−\mathrm{0},\mathrm{01}{t}} \right)−\mathrm{15}\left(\mathrm{1}−{e}^{−\mathrm{0},\mathrm{01}{t}} \right)\left(−\mathrm{1},\mathrm{5}\right)\mathrm{0},\mathrm{01}\:{e}^{−\mathrm{0},\mathrm{01}{t}} }{\left(\mathrm{1}+\mathrm{1},\mathrm{5}\:{e}^{−\mathrm{0},\mathrm{01}{t}} \right)^{\mathrm{2}}…